**Survey of Fast-Food Restaurant Hourly Employees**A survey was conducted involving 24 hourly employees at fast-food restaurants to determine their average weekly working hours. The collected data are as follows:34, 45, 43, 41, 49, 48, 29, 36, 50, 40, 40, 49, 36, 54, 31, 41, 42, 37, 47, 29, 47, 36, 47, 48**Aim**: Construct an 87% confidence interval for the mean number of hours fast-food restaurant employees work each week, using a population standard deviation (σ) of 6.**Steps and Formulas**:- Calculate the sample mean (\(\bar{x}\))- Determine the critical value (\(z_{\alpha/2}\)) for an 87% confidence level- Calculate the Margin of Error (E)**Formulas**:\[\bar{x} = \text{Sample Mean}\]\[\frac{\alpha}{2} = \text{Significance Level}\]\[z_{\frac{\alpha}{2}} = \text{Critical Value}\]\[E = \text{Margin of Error}\]**Confidence Interval**: We are 87% confident that fast-food restaurant hourly employees, on average, work between *[lower bound]* and *[upper bound]* hours per week.

Answered: Twenty-four fast-food restaurant hourly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a simple random sample of 9 college freshmen were asked how many hour of sleep they typically got per night. The results were 8.5,6.5,8,9,6,7.5,24,8.5,9.5. Elminate the outlier, then consturct a 90% confidence interval for the mean amount of sleep from the remaining values.
Twenty-five fast-food restaurant hourly employees were surveyed to see how many hours they worked per week, on average. The following data was obtained:31, 43, 33, 20, 46, 52, 34, 26, 30, 40, 28, 44, 3, 46, 51, 43, 24, 31, 37, 55, 41, 42, 38, 24, 28Construct a 99% confidence interval for the mean number of hours per week that the population of fast-food restaurant employees work.xˉ=s=α2=tα2=Margin of Error: E=We are 99% confident that fast-food restaurant hourly employees, on average, work between___ hours and ___hours per week.
During the nutrition research, the amount of consumed kilocalories per day was measured for 18 people - 10 women and 8 men. Results are as follows: Women: 2026, 1600, 1700, 1950, 1922, 1786, 1712, 1777, 2006, 1832; Men: 2170, 2557, 2384, 2427, 2334, 2228, 2161, 2459. Calculate a 90% confidence interval on the mean for women and men separately. Assume distribution to be normal. Round your answers to the nearest integer (e.g. 9876). Women: i Men: i
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0:                    hoursH1:                    hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to       . The correct summary would be:       that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 49 40 58 52 49 70 49 59 47 49 53 55 What are the correct hypotheses? H0:                    hoursH1:                    hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to       . The correct summary would be:       that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
A researcher studied 5050 adults daily screen time. She had them record the amount of hours (rounded to the nearest hour) they spent looking, listening or reading at computer or cell phone daily. The frequency table below shows the results. Hours of Screen Time Frequency 7 5 8 6 9 4 10 5 11 8 12 10 13 9 14 3 The researcher found that the mean number of hours of the data set was 10.7210.72. She wants to also find range and standard deviation. Find the range of the data set.range =    Find the standard deviation of the data setstandard deviation =   Round your result to two decimal places.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 45 50 60 50 48 61 54 49 50 48 55 50 (a) Determine the null and alternative hypotheses? Họ: Select an answer v hours H1: Select an answer hours (b) Determine the test statistic ? (c) Determine the p-value. p-value = (d) Make a decision. O Accept the alternative hypotheis Accept the null hypothesis Do not reject the null hypothesis O Reject the null hypothesis
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The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 48 43 58 51 45 62 47 55 49 49 52 53 a. What are the correct hypotheses? Ho: Select an answer H₁: Select an answer b. Test Statistic = Based on the hypotheses, find the following: c. p-value = ? 0 ? 0 d. The correct decision is to Select an answer Add Work hours hours e. The correct summary would be: Select an answer hours of all employees at start-up companies work more than the US mean of 47 hours. that the mean number of

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