a new diet is being tested. the inventor claims people lose 10 pounds on average after 6 weeks. 25 people are randomly picked to try the diet. researchers are concerned the inventor's claim is exaggerated. the sample yields an average of 6.4 and a standard deviation of 6.9. calculate the appropriate test statistic. enter with 2 decimals (eg. 1.96)

Answers

Answer 1

The appropriate test statistic for this scenario is -2.31.

To assess whether the inventor's claim about the new diet is valid or exaggerated, we can conduct a hypothesis test using the appropriate test statistic. In this case, we will use the t-test statistic since the population standard deviation is unknown.

The null hypothesis, H0, assumes that the average weight loss after 6 weeks on the diet is indeed 10 pounds. The alternative hypothesis, Ha, suggests that the average weight loss is different from 10 pounds.

The formula for calculating the t-test statistic is:

t = ( x bar - μ) / (s / √n)

Where:

x bar is the sample mean (6.4),

μ is the hypothesized population mean (10),

s is the sample standard deviation (6.9), and

n is the sample size (25).

Plugging in the values, we have:

t = (6.4 - 10) / (6.9 / √25)

Simplifying the expression, we get:

t = -3.6 / (6.9 / 5)

Calculating the result, we find:

t ≈ -2.31 (rounded to two decimal places)

Therefore, the appropriate test statistic for this scenario is -2.31.

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Related Questions

Help please it’s emergency: I don’t understand how to do number 7

Help please its emergency: I dont understand how to do number 7

Answers

With a greater mean value , we can conclude that the sixth period class test was better than the second period .

Calculating the mean of each class

Second period class:

Mean = (55+70+6*75+6*80+2*85+3*90+95)/20

Mean = 1590/20 = 79.5

Sixth period class:

Mean = (65+3*75+5*80+6*85+3*90+2*95)/20

Mean = 1660/20 = 83

Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .

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There are single- and multiple prism assemblies available for use with Electronic Distance and Angle Measuring Instruments. When is the use of single prism assembles recommended? Multiple assemblies?

Answers

The use of single prism assemblies is recommended in cases where the distance between the surveying instrument and the point being surveyed is more than the maximum range of the instrument.

When the survey instrument can only observe a small portion of the site, single prism assemblies are beneficial since they only need a single point of observation.

Multiple prism assemblies, on the other hand, are used when the survey instrument has a larger range and can observe a larger portion of the site. When using multiple prism assemblies, the surveyor can survey over a greater range than when using a single prism assembly.

A multiple prism assembly is often used when the survey area is substantial and can only be surveyed from a single location, such as a road or a river.

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Consider the line -4x-3y=-7.

What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

Slope of a perpendicular line:

Slope of a parallel line:

Answers

first get it into slope intercept form: y=mx+b m is slope and b is the y intercept

-4x-3y=-7
get y by it’s self
-3y=4x-7
divide by -3
y=-4/3x-7/3
so the of the original line is -4/3

the parallel line has the same slope so the parallel slope is -4/3
the perpendicular slope is opposite reciprocal of the original so it is 3/4

Answer:

Parallel: \(-\frac43\)

Perpendicular: \(\frac34\)

Step-by-step explanation:

Hello!

First, we need to find the slope of the given line. Convert it into Slope-Intercept Form.

Slope - Intercept Form: \(y = mx + b\)

Convert\(-4x - 3y = -7\)\(-3y = 4x - 7\)\(y = -\frac43x + \frac73\)

Parallel Lines

Parallel lines have the same slope but an altered y-intercept. Therefore, the slope of the line parallel to this one is also \(-\frac43\).

Perpendicular Lines

Perpendicular lines have an opposite reciprocal slope. That means you flip the sign (+/-) and flip the numerator and denominator. The slope of the line perpendicular to this one is \(\frac34\).


The reliability factor table provides factors for as many as
three computations when planning and evaluating the results of a
PPS sample. Describe in general terms each of these
computations

Answers

The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

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LO
5
Select all the ways that zero can be
classified. select all that applied. (1 Point)
Whole number
Integer
rational number
Real number
none of the above

Answers

Answer:

?

Step-by-step explanation:

2 What is the solution to the equation shown below? 2.5(x + 5) = 7.5x – 0.5 -​

Answers

Answer:

x = 2.6

Step-by-step explanation:

2.5(x + 5) = 7.5x - 0.5

2.5x + 12.5 = 7.5x - 0.512.5 + 0.5 = 7.5x - 2.5x13 = 5x13 ÷ 5 = 5x ÷ 5x = 2.6

pls help if you can asap!!!!

pls help if you can asap!!!!

Answers

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Which decimal is equal to the following fraction?
23/24

Answers

Answer:0.95833333333333.

Step-by-step explanation:

Which decimal is equal to the following fraction?

Answer: 0.95833333333333

PLEASE HELP ASAP!

4y - 5x = 6 - 3x
Solve for X

Answers

Answer:

 X= -2

Step-by-step explanation:

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help

Answers

Answer:

3

Step-by-step explanation:

The two quads are of similar, and we know that they are of ratio 1:2, thus

3y+5/7 = 2

y = 3

Answer:

y = 3

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

\(\frac{UR}{DA}\) = \(\frac{TS}{CB}\) , substitute values

\(\frac{4}{2}\) = \(\frac{3y+5}{7}\) ( cross- multiply )

2(3y + 5) = 28 ( divide both sides by 2 )

3y + 5 = 14 ( subtract 5 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

A school district telephone system has three-digit extensions. How many unique extensions are there with no
repeated digits, if the first digit cannot be zero and the last number is a nine?
A.72
B.64
C.504
E.None of the above

Answers

64 unique extensions are there with no repeated digits.

What is Combination?

Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged.

For the 3-digit area code, the first digit can be any digit from 2 through 9, and each of the two digits that follow can be any digit from 0 through 9. That's a total of 8 × 10 × 10 = 800 different combinations.

Given:

A school district telephone system has three-digit extensions.

So,  first digit cannot be zero then we have possibility of total 8 digits.

and the last number is a nine.

unique extensions are there with no repeated digits

= 8 x 8 x 1

= 64

Hence, 64 unique extensions are there with no repeated digits.

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during the last year the value of your house decreased by 20%. if the value of your house is $184,000 today, what was the value of your house last year? round your answer to the nearest cent, if necessary .

Answers

Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond?
A 10 feet
B. 12 feet
C. 19 feet
D. 29 feet

Answers

Answer:

C. 19 feet

Step-by-step explanation:

Circumference formula 2πr= 2π(3)= 18.85. Round up to 19 feet

it’s urgent please help

its urgent please help

Answers

Answer:

  x = 5.4

Step-by-step explanation:

The marked sides are the hypotenuse and the side adjacent to the marked angle. That suggests the appropriate trig function is the cosine:

  Cos = Adjacent/Hypotenuse

  cos(19°) = 5.1/x

  x = 5.1/cos(19°) . . . . . multiply by x/cos(19°)

  x ≈ 5.4

Write a program that will enable Tracy to draw one circle with a diameter of 50

Answers

Answer:

circle(50)

Step-by-step explanation:

The circle should have a diameter of 50 so the answer is simply "circle (50)"

Hanz’s class had a goal to collect 250 cans of food for the school food drive. They collected 290 cans. What percent of their goal did they achieve?

Answers

Given:

Goal = 250 cans

Number of collected cans = 290

To find:

The percent of their goal they achieved.

Solution:

The percent of their goal they achieved is:

\(\text{Required percent}=\dfrac{\text{Number of collected cans}}{\text{Goal}}\times 100\)

\(\text{Required percent}=\dfrac{290}{250}\times 100\)

\(\text{Required percent}=\dfrac{29}{25}\times 100\)

\(\text{Required percent}=29\times 4\)

\(\text{Required percent}=116\)

Therefore, they achieved 116% of their goal.

.-La familia Juárez es parte de nuestra comunidad educativa, tiene cuatro integrantes; la mama se dedica al comercio y gana S/1000 mensuales, el papa gana semanalmente S/400. Y gastan de la siguiente manera: atentación S/250 por persona; vestimenta S/40 por persona; en servicios de agua y luz S/30 y S/100, respectivamente; paquete de teléfono, internet y cable S/120; gas S/40; alimentación para gallinas S/15 cada mes e higiene personal S/ 20 por persona. Además, en esta situación de pandemia compran cada mes un Kit de Bioseguridad compuesto por: 4 mascarillas de tela, a S/10 cada una; 4 litros de alcohol, a S/8 cada uno, y 3 litros de lejía, a S/5 cada uno. ¿Cuál será el presupuesto mensual de la familia si además recibe S/10 por venta de una docena de huevos? ¿A cuánto asciende el gasto mensual por persona?

Answers

Answer:

a) 201s / 1000

b) 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2

Step-by-step explanation:

Total de miembros de la familia = 4

Ganancia de la madre = s / 1000 por mes

Ganancia del papa = s / 40 por semana

Ganancia por venta de huevos = s / 10

Ganancia total por mes = s / 1000 + s / 40 * 4 + s / 10 = s / 1000 + s / 10 + s / 10 = 201s / 1000  

Gasto-

Servicio - S / 250 * 4 = 4s / 250

ropa - 4S / 40

servicios de agua - 4S / 30

Electricidad - 4S / 100

paquete de teléfono, internet y cable - S / 120

gas - S / 40

alimento para pollos - S / 15 cada mes

higiene personal 4S / 20

4 mascarillas de tela - 4S / 10

4 litros de alcohol - 4 S / 8

3 litros de lejía - 3S / 5

Gastos totales = 2s / 125 + s / 10 + 2s / 15 + s / 25 + s / 120 + s / 40 + s / 15 + s / 5 + 2s / 5 + s / 2 + 3S / 5

Gasto total = 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2

Anyone here do K12???

Answers

What does k12 mean and if it has anything to do under the grade of 10 or has a field in art, animals, music, or sports than yes.

Step-by-step explanation:

Answer:

I DO. A texas online school.

Step-by-step explanation:

hope it helps

Gretchen made a paper cone to hold a gift for a friend. The paper cone was 16 inches high and had a radius of 5 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.

Answers

Therefore, the volume of the paper cone to the nearest tenth is 418.7 inches cubed.

The volume of the paper cone that Gretchen made to hold a gift for a friend is given by;V= (1/3)πr²hWhere;r = radius of the paper coneh = height of the paper coneπ = 3.14

Given that;Height of the paper cone (h) = 16 inches Radius of the paper cone (r) = 5 inchesWe are to find the volume (V) of the paper cone to the nearest tenth of an inch.

To obtain the volume of the paper cone, we can substitute the values of r and h in the formula above to obtain;

\(V= (1/3)\pir^2hV\)= \((\frac{1}{3} ) \times 3.14\times5^2 \times16V = (\frac{1}{3} ) \times 3.14\times25\times16V = (\frac{1}{3}) \times 1256V=418.7\)

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What is the length of side AB of the triangle

Answers

the length of sides AB of the triangle is sum of all sides..

The diameter of the raw cookie is 2 1 2 inches. After baking the cookie, the diameter is 5 1 2 inches. By what factor does the cookie expand? A 236% B 220% C 45% D 42%

Answers

Answer:

120%

Step-by-step explanation:

Given that,

The diameter of the raw cookie is 2 1/2 inches i.e. 5/2 inches

After baking the cookie, the diameter is 5 1/2 inches i.e. 11/2inches

We need to find by what factor does the cookie expand.

\(x=\dfrac{5\dfrac{1}{2}-2\dfrac{1}{2}}{2\dfrac{1}{2}}\times 100\\\\=\dfrac{\dfrac{11}{2}-\dfrac{5}{2}}{\dfrac{5}{2}}\times 100\\\\=120\%\)

So, the cookie will expand 120%.

Answer:

220%

Step-by-step explanation:

to the test got answer correct

Is 2 a factor of 25 yes or no?

Answers

Answer:

Nope

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2x 12=24 not 25

Yo could y’all help me with 6th grade math

Yo could yall help me with 6th grade math

Answers

Answer:

260

570

850

920

410

710

660

120

that all for now they out of order

Step-by-step explanation:

Answer:

2601204105705901908501003009205302004106309607108101000660810640

Step-by-step explanation:

You better give brainliest for that also please refrain from these type of questions. I bet people would apprieate it

when using percentiles with normally distributed scores, differences between raw scores may be .

Answers

The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.

What is meant by normally distributed?The mean and standard deviation of a normal distribution are 0 and 1, correspondingly. It has a kurtosis of 3 and zero skew.Not every symmetrical distributions are normal, but all normal distributions are symmetrical.68.2% of observations would fall within +/- 1 standard deviation of a mean including all normal distributions, 95.4% will fall in +/- two standard deviations, and 99.7% will fall within +/- 3 different deviations.

For the given question.

The difference in the percentiles and raw scores is-

When presented in ascending order in statistics, a percentile rank / score signifies the percentage of the population that drops below it. By translating the raw score into an analogous z-score through using empirical z-distribution table, the percentile for such a raw score may be established.

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The​ _______ of a probability experiment is the collection of all possible outcomes. a. outcome b. sample space c. event d. unusual event e. experiment

Answers

Answer:B.Sample space

Step-by-step explanation:

use the following information to write an equation in terms of x. then solve the equation and find rs and st. rs

Answers

The equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

To find rs and st, we need to write an equation in terms of x using the given information and then solve for x.

Let's suppose that rs and st are two line segments, and x represents the length of rs. To find the lengths of rs and st, we can set up an equation based on the given information.

From the problem, we know that the length of st is three times the length of rs. This can be expressed as:

st = 3 * rs

Additionally, the total length of rs and st is 32 units. Mathematically, this can be represented as:

rs + st = 32

Now, we can substitute the value of st from the first equation into the second equation:

rs + 3 * rs = 32

Simplifying this equation, we have:

4 * rs = 32

To solve for rs, we divide both sides of the equation by 4:

rs = 32 / 4

rs = 8

Hence, we have found that rs is equal to 8 units.

To find the length of st, we can substitute the value of rs into the first equation:

st = 3 * rs

st = 3 * 8

st = 24

Therefore, the length of st is 24 units.

In summary, the equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

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The principality of Lucastan, with 10 million adults who are all employed and 25 million children, suffers a depression. Suddenly, 8 million workers lose their jobs, of whom 3 million give up searching completely. Which is greater?

Answers

After the depression in the principality of Lucastan, the number of unemployed workers who gave up searching completely (3 million) is greater than the number of unemployed workers (8 million).

During the depression, a total of 8 million workers in Lucastan lost their jobs. However, out of these 8 million, only 3 million workers completely gave up searching for employment. This means that there are 3 million workers who are not actively seeking employment anymore.

While both numbers are significant, the 3 million workers who gave up searching completely is greater than the 8 million unemployed workers. This highlights the discouragement and lack of job prospects that led these workers to withdraw from the labor force entirely.

The 3 million workers who have given up searching completely may face challenges in re-entering the workforce, as they may have become discouraged or may have taken on other responsibilities during their period of unemployment. This can have long-term implications for the labor market and the economy of Lucastan.

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Andrea was traveling down a road at 45 mph when she was forced to immediately apply her brakes in order to come to a complete stop. Her car left two skid marks that averaged 60 feet in length with a difference of 6 feet between them. Her brakes were operating at 90% efficiency at the time of the incident. What was the possible drag factor of this road surface? What were the lengths of each skid mark?

Answers

The drag factor of the road surface was 0.68.

The lengths of the skid marks were approximately 52.1 feet and 49.1 feet, respectively.

What was the possible drag factor of this road surface?

To solve this problem, we can use the following formula:

d = (v^2 / 2g) * f

Where:

d = distance (in feet) traveled during skidv = initial velocity (in feet per second)g = acceleration due to gravity (32.2 ft/s^2)f = drag factor of the road surface

First, we need to convert Andrea's speed from mph to feet per second:

45 mph = 66 feet per second

Next, we can use the average length of the skid marks to find the distance traveled during skid:

d = (60 feet + 54 feet) / 2

d = 57 feet

We also know that the efficiency of Andrea's brakes was 90%, which means that only 90% of the force applied to the brakes was actually used to slow down the car.

Therefore, we can adjust the initial velocity to take into account this reduction in braking power:

adjusted velocity = 66 feet per second * 0.9 = 59.4 feet per second

Substituting the values into the formula and solving for the drag factor:

57 feet = (59.4^2 / (2 * 32.2)) * f

f = 0.68

To find the lengths of each skid mark, we can use the formula:

d = (v^2 / 2g) * f

For the first skid mark:

60 feet = (v^2 / (2 * 32.2)) * 0.68

v = 52.1 feet per second

And for the second skid mark:

54 feet = (v^2 / (2 * 32.2)) * 0.68

v = 49.1 feet per second

Now we can use these velocities to find the lengths of each skid mark:

Length of first skid mark = 52.1 feet per second * 1 second

Length of first skid mark = 52.1 feet

Length of second skid mark = 49.1 feet per second * 1 second

Length of second skid mark = 49.1 feet

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12.5% of $100 is
what number?

Answers

Answer:100$-100%               100*12.5=1250

                                                    1250/100=12.5

                 ?-12.5%

Step-by-step explanation:

Answer:

\({ \tt{12.5\% \: of \: \$ \: 100}}\)

Convert 12.5% into fraction. To convert a percentage to a fraction , divide it by 100.

⟿ \( \tt \frac{12.5}{100} \times 100\)

⟿ \( \tt{12.5}\)

\( \boxed{ \boxed{ \tt{Our \: final \: answer : 12.5} }}\)

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hich of the following represents a directional research hypothesis? group of answer choices h1: 1 2 h0: 1 2 h1: 1 > 2 h0: 1

Answers

A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.

What is null hypothesis?

A type of statistical hypothesis known as a null hypothesis claims that a particular collection of findings has no significance in statistics. The viability of theories is evaluated using sample data. an an an a The assumption made by researchers is that there is some connection between the factors. The null hypothesis, on the other hand, asserts that such a relationship does not exist. Although it might not seem significant, the null hypothesis is an important part of study.

"h1: 1 > 2" denotes the direction of the study. Indicating that one variable (1) will have a higher impact or value than the other variable (2), this hypothesis forecasts the direction of a connection between the variables under study. (2). A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.

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