a random sample of 25 white-collar employees was obtained and the sample mean was 44 hours worked per week with a sample standard deviation of 8 hours. is there evidence to suggest that the true population mean number of hours worked per week is more than 40 hours? assume the underlying distribution is normal.
Answers
based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.
To determine if there is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours, we can conduct a hypothesis test. We'll use a one-sample t-test since the population standard deviation is unknown, and the sample size is small (n = 25).
Let's set up the null and alternative hypotheses:
Null hypothesis (H0): The true population mean number of hours worked per week is 40 hours or less.
Alternative hypothesis (Ha): The true population mean number of hours worked per week is more than 40 hours.
We'll use a significance level (alpha) of 0.05.
Next, we calculate the test statistic (t-value) using the sample mean, sample standard deviation, sample size, and the hypothesized population mean (40 hours) under the null hypothesis:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
t = (44 - 40) / (8 / sqrt(25))
t = 4 / (8 / 5)
t = 2.5
We then compare the calculated t-value with the critical t-value from the t-distribution table at the given significance level and degrees of freedom (n - 1). With 24 degrees of freedom, a one-tailed test, and a significance level of 0.05, the critical t-value is approximately 1.711.
Since the calculated t-value (2.5) is greater than the critical t-value (1.711), we can reject the null hypothesis. There is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours.
In conclusion, based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.
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Related Questions
the demand curve for hummus has a constant slope of -2. what can you say about the price elasticity of demand for hummus with this information?
Answers
Based on the given information that the demand curve for hummus has a constant slope of -2, we can say that the price elasticity of demand for hummus is relatively elastic. This means that a small change in price will result in a relatively larger change in the quantity demanded of hummus.
In other words, consumers are sensitive to changes in the price of hummus and are likely to reduce their consumption if the price increases, and vice versa.
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The price elasticity of demand for hummus cannot be determined solely from the information provided, as it depends on both the slope and the price-quantity relationship.
The price elasticity of demand (Ed) is a measure of how responsive the quantity demanded of a good is to a change in its price. It is calculated using the formula:
Ed = (% change in quantity demanded) / (% change in price)
Since the demand curve for hummus has a constant slope of -2, this tells us that for every unit increase in price, the quantity demanded decreases by 2 units. However, to calculate the price elasticity of demand, we also need information about the price and quantity levels.
The slope of the demand curve alone does not provide enough information to determine the price elasticity of demand. The elasticity varies along the curve, being more elastic at high prices and low quantities, and less elastic at low prices and high quantities.
While the slope of the demand curve for hummus is -2, this information alone is not sufficient to determine the price elasticity of demand. Additional information about the price and quantity levels is needed to calculate the elasticity accurately.
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There are 180 puppies in the shelter with 9 kids. How many students puppies per kids?
Answers
The number of puppies per kids is 20 puppies.
Given that, there are 180 puppies in the shelter with 9 kids.
Number of puppies per kids = Total number of puppies/Number of kids
= 180/9
= 20 puppies
Therefore, the number of puppies per kids is 20 puppies.
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The graph of the absolute value parent function, f(x) = [xl, is stretched
horizontally by a factor of 5 to create the graph of g(x). What function is g(x)?
O A. g(x) = 12 + 5|
O B. g(x) = 15
O C. g(x) = 5 x1
O D. g(x) = 15 31
SUBMIT
Answers
Using translation concepts, it is found that function g(x) is defined by:
\(g(x) = \left|\frac{x}{5}\right|\)
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The absolute value parent function is defined by:
f(x) = |x|
When it is strecthed horizontally by a factor of 5, it means that the domain is divided by 5, hence the function is given by:
\(g(x) = \left|\frac{x}{5}\right|\)
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A ball is rolled down the hill at 3 m/s. The hill is 36 meters long. How
many seconds does it take the ball to reach the bottom of the hill? *
Answers
Answer:
12 seconds
Step-by-step explanation:
To do this you would take the rate of the ball, (the 3 m/s) and divide it from how big the hill is, (36 m)
36/3=12 seconds
So the ball would reach the bottom of the hill in 12 seconds
waterloo park posted the following schedule listing the number of hours an employee works on a given day. let b(x), t(x), r(x), and s(x) represent the number of hours worked by bill, ted, rufus, and socrates, respectively, on a given day x.
Answers
The schedule for the number of hours worked by employees at Waterloo Park is represented by the functions b(x), t(x), r(x), and s(x) for Bill, Ted, Rufus, and Socrates, respectively, on a given day x.
In the schedule, the function b(x) represents the number of hours worked by Bill on a given day x. Similarly, the function t(x) represents the number of hours worked by Ted, the function r(x) represents the number of hours worked by Rufus, and the function s(x) represents the number of hours worked by Socrates on the same given day x.
By using these functions, you can determine the specific number of hours each employee worked on any given day. For example, if you have a value for x, you can substitute it into the functions to find the corresponding number of hours worked by each employee.
It's important to note that the functions b(x), t(x), r(x), and s(x) are specific to Waterloo Park and the employees mentioned. The given schedule provides a way to track the hours worked by each employee on different days. By utilizing these functions, you can analyze and calculate the hours worked by each employee effectively.
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Please answer.
No links, no fake answers please
Answers
Answer:
The length of the side JH is approximately 31.5 feet long.
Step-by-step explanation:
There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that \(\frac{sin(90^{o})}{88} =\frac{sin(21^{o})}{x}\) ⇒ \(\frac{88}{sin(90^{o})} =\frac{x}{sin(21^{o})}\) ⇒ \(x = \frac{88*sin(21^{o})}{sin(90^o)}\) ⇒ \(x=31.5ft.\)
HELP ANYONE PLEASE??????????
The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y=(2/5x)−1?
Group of answer choices below.
A.) y=(5/2x)−4
B.) y=(−2/5x)−4
C.) y=(−5/2x)−4
D.) y=(2/5x)-4
Answers
Answer: D
Step-by-step explanation:
find the first‑order and the second‑order taylor formula for (,)=19( ) at (0,0).
Answers
The first-order Taylor formula for f(x, y) = 19x at (0, 0) is f(x, y) ≈ 19x.
To find the first-order and second-order Taylor formulas for the function f(x, y) = 19x at the point (0, 0), we need to calculate the partial derivatives of the function at that point.
The first-order Taylor formula is given by:
f(x, y) ≈ f(0, 0) + ∂f/∂x(0, 0)(x - 0) + ∂f/∂y(0, 0)(y - 0)
Since f(x, y) = 19x, the partial derivatives are:
∂f/∂x = 19
∂f/∂y = 0
Plugging these values into the first-order Taylor formula, we get:
f(x, y) ≈ f(0, 0) + 19(x - 0) + 0(y - 0)
≈ 0 + 19x + 0
≈ 19x
Therefore, the first-order Taylor formula for f(x, y) = 19x at (0, 0) is f(x, y) ≈ 19x.
The Series Theorem of Taylor
Assume that f(x) is a real or composite function and that it is a differentiable function of a real or composite neighbourhood number. The following power series is then described by the Taylor series: f (x) = f ′ (a) (a) 1! ( x − a ) + f ” ( a ) 2 !
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Need some advice Please help me!!! also enjoy these points
Answers
Answer:
what type of help......
EASY POINTS
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What are the values of a positive attitude?
Answers
Answer:
Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs
a 14-ounce can of green beans contains two teaspoons of salt. how much sodium is present in 2 teaspoons (11.5 grams) of salt?
Answers
The percentage of salt in green beans can is 2.89%.
It is important to know about the percentage first, the percentage is a part of the sample in the population. It can be determined by this formula
A% = x / N . 100%
where A% is the percentage, x is the sample and N is the total population
From the question above, we know that :
x = 11.5 grams
N = 14 ounce = 396.89 grams
By substituting the parameter to the equation, we get
A% = x / N . 100%
A% = 11.5 / 396.89 . 100%
A% = 2.89%
Hence, the total salt in the can is 2.89%
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What is the Lowest Common Multiple of 42 and 90
Answers
Answer:
630
Step-by-step explanation:
Answer:
630
Step-by-step explanation:
90/6=15
42/6=7
Those are the lowest you can go in those numbers and when you do 90*42
it is 3780. Divide that by 6 and it is 630.
What is the slope and the y-intercept? y=-8x + 89
Answers
y=-8x + 89
Slope m= 8
y- intercept = +89. For x= 0
On a number line, P has coordinate –41 and Q has coordinate 31. Find PQ.
Answers
The require value of PQ is
What is number line?A line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Now, given coordinates of two points on number line are
P = -41
Q = 31
Since, PQ is the distance between to points P and Q on a number line.
So, PQ is the absolute value of the sum of their coordinates P and Q.
⇒PQ = |P| + |Q|
⇒PQ = 41 + 31
⇒PQ = 72
Hence the required value PQ is 72.
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Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.64% of women in the sample are the primary investor in their household.
There is an association between U.S. women and being the primary investor in their household.
Answers
The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.
What will the inference be?This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.
According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.
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seven sprinters qualify for the finals in the 100-meter dash at the ncaa national track meet. in how many ways can the sprinters come in first, second, and third? (assume there are no ties.)
Answers
The problem requires finding the number of ways that seven sprinters can be ordered when they finish the 100-meter dash, with no two of them finishing in the same place.
This is a permutation problem because the order in which the sprinters finish matters. Specifically, the problem asks for the number of permutations of seven items taken three at a time. Using the formula for permutations, we have 7!/(7-3)! = 7x6x5 = 210 ways that the sprinters can finish first, second, and third.
The explanation of the problem is based on the fact that there are 7 possible sprinters who can come in first place, and once the first place has been assigned, there are only 6 sprinters left who can come in second place. Once first and second place have been assigned, there are only 5 sprinters left who can come in third place. Therefore, the total number of ways that the sprinters can finish first, second, and third is the product of the number of choices for each position, which is 7x6x5 = 210.
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PLEASE HELPP MEEEE 10 PT
What is the rule that describes the translation that maps ΔLMN onto ΔL'M'N?
A.3 units right and 4 units up
B.3 units left and 4 units up
C.3 units right and 4 units down
D.3 units left and 4 units down
Answers
Answer:
Translation by -4 units on the y-axis, and + 3 units on the x-axis.
Step-by-step explanation:
The answer is C
find a volume of a cube whose base radius is 5 cm and height 28 cm
Answers
Answer:
The volume of the cube is 21952.
Step-by-step explanation:
V = L x W x H
because a cube's sides are all the same, the length, width, and height are also the same. So we use the formula:
V= S^3
(S standing for side)
we know the height is 28 and as all sides measure the same we use the equation:
V= 28^3
28^3 = 21952
So, V= 21952
Luke plotted the number of hits he got in his baseball games this season versus the number of games played on a scatter plot. He then determined two lines of best fit and looked at the two residual plots shown below to determine which line is a better fit for the data that he collected. Luke wants to use the line of best fit that best fits the data to help him determine how many hits he will get as he plays more games. Determine which statements are true and which are false regarding the line of best fit for the data collected. Select True or False for each statement.
Answers
Answer:
Step-by-step explanation:
True
False
False
what expression is equivalent to
12 + 2 x 10
Answers
Answer:
32=12+2x10
Step-by-step explanation:
Multiply the two and ten first
(20)
Then add the twelve to the twenty
(32)
Create an expression
32=12+2x10
*Keep in mind you can write the expression in many different ways*
Answer:
140
Step-by-step explanation:
if 8 J equals 14 + l k equals 42 find TS
Answers
For trapezoid HJKL, TS are the midpoints of the legs
This means that the length of TS is the average of the lengths of HJ and LK
We need to calculate TS, given HJ=14 and LK=42
The mean or average value is calculated as:
\(TS=\frac{HJ+LK}{2}\)Substituting the values:
\(TS=\frac{14+42}{2}=\frac{56}{2}=28\)The length of TS is 42 units
Combine like terms for the following expression:
−4x−x+3−9
Answers
Answer:
-5x-6
Step-by-step explanation:
how many atheletes in total were acccused of using performance-enhancing drugs? of these, how many were using and how many were not? what percentage of those accused of using were falsely accused?
Answers
There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.
Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.
Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.
If you have a specific case or sport in mind, I can try to provide you with more information on that topic.
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Find the missing length of the triangle. If necessary, round your answer to the nearest tenth
Answers
Answer: 26
Step-by-step explanation:
a² + b² = c² Use Pythagorean Theorem to find the missing length, a & b are the side of a right triangle, and c is the hypotenuse of the right triangle.
10² + 24² = x² In this triangle, the x was the hypotenuse, which is c, plug 10 and 24 into a and b.
100 + 576 = x²
676= x²
rewrite as
x² = 676
√x² = √676 [solve the square root from both side]
x = 26
Keith had two hundred sixteen dollars to spend on six books. After
buying them he had eighteen dollars. How much did each book cost ? _____________
Answers
Answer:
$34.66
Step-by-step explanation:
216-8= 208 divided by 6 = 34.666666
Answer: 33$ each
Step-by-step explanation:
you start by subtracting 18 from 216 to get rid of the leftover money.
you'll have ended up with the number 198
divide 198 by 6 and that will be your answer.
Roberto compró 6 cd's y 10 revistas en $ 900.00 pesos; en la misma tienda su amiga María compró 10 cd's y 4
revistas en $ 1.220.00 pesos. ¿ Cual es el sistema de ecuaciones con dos incognitas que representa el problema?
Answers
The system of linear equation that represent this problem is
6x + 10y = 900
10x + 4y = 1220
What is the system of equation?Let's represent the number of CDs Roberto bought as x and the number of magazines as y
The problem states the following information:
Using the variables; x and y as given;
1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:
6x + 10y = 900
2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:
10x + 4y = 1220
So, the system of equations representing the problem is:
6x + 10y = 900
10x + 4y = 1220
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Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4
magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?
What is the value of x?
(4x + 15)
11xº
O A. X = 5
O B. X = 11
O C. X = 59
O D. X = 121
Answers
Step-by-step explanation:
(4x+ 15)° + 11x° = 180° ( linear pair )
4x + 15 +11x = 180
15 x + 15 = 180
15x = 180-15
15x= 165
x= 165/15
x= 11
Find the mean average deviation of his run times
Answers
The mean average deviation (MAD) shows the average of the deviation of all the values from their average/mean.
It is calculated as follows;
\(\begin{gathered} M=\frac{\Sigma\text{ of data}}{Number\text{ of data}} \\ M=\frac{9.6+9.1+8.7+8.6+8.4+8.1+7.5}{7} \\ M=\frac{60}{7} \\ M=8.57 \\ M\approx8.6 \end{gathered}\)Next step, we find the difference of each given value from the mean. The result is now divided by the number of data which is 7.
\(\begin{gathered} \text{MAD}=\frac{|8.6-9.6|+|8.6-9.1|+|8.6-8.7|+|8.6-8.6|+|8.6-8.4|+|8.6-8.1|+|8.6-7.5|}{7} \\ \text{MAD}=\frac{1+0.5+0.1+0+0.2+0.5+1.1}{7} \\ \text{MAD}=\frac{3.4}{7} \\ \text{MAD}=0.4857\ldots \\ \text{MAD}\approx0.5 \end{gathered}\)The mean average deviation is 0.5 minutes
Please note that when computing the MAD (mean average deviation, we take absolute values only, that is no negative values. Rather all negative values would be taken as positive. That is why we insert the absolute sign { | | } into the formula.
The ratio of the surface areas of 2 rectangles is 256:484. What is the ratio of their heights?
Answers
Answer:
182:242
Step-by-step explanation:
Reduce the ratio by its halves (50 percent) and simplify.
Although for this case, you could reduce it even further, because this is a ratio, not the true height.
If this is a test, I would not recommend that.
In your own words, describe four ways in which errors in statistical data occur.
Answers
Four ways errors can occur in statistical data are:
Measurement errorSampling errorData entry errorModel error.How Errors Can Occur in Statistical Data?Errors in statistical data can occur in several ways, including:
Measurement error: This happens when the data collected is not accurate, such as using an incorrect instrument or using the instrument improperly.
Sampling error: This occurs when a sample of the population is used to represent the entire population, and the sample is not representative or randomly selected.
Data entry error: This happens when data is recorded incorrectly or transcribed inaccurately, such as mistyping a number or mixing up entries.
Model error: This occurs when the model used to analyze the data is incorrect or does not fit the data well, leading to incorrect or misleading results.
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