The Highway Safety Department wants to study the driving habits of individuals. A sample of 81 carstraveling on the highway revealed an average speed of 67 miles per hour with a standard deviation of9 miles per hour.a.Compute the standard error of the mean.b. Determine a 99% confidence interval estimate for the speed of all cars.

Given information Sample size (n) = 81 Sample mean x̅ = 67 mph Standard deviation (s) = 9 mph…

Answered: The Highway Safety Department wants to…

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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The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0: Ha:Ha: (So we will be performing a test.)Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are with distribution mean and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P( )=P()=P( )=)=pp-value==Step 4: Make a Conclusion…
The average McDonald's restaurant generates $3 million in sales each year with a standard deviation of 0.4. Russell wants to know if the average sales generated by McDonald's restaurants in Nebraska is different than the worldwide average. He surveys 26 restaurants in Nebraska and finds the following data (in millions of dollars):3.3, 3.2, 3.5, 3.3, 3.3, 3.4, 2.8, 3.5, 3.4, 2.5, 2.5, 3.6, 2.9, 2.9, 2.9, 3.5, 3.4, 2.7, 2.2, 2.5, 3.5, 3.6, 3.5, 3.7, 3.6, 2.8Perform a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.H0:(p or u)(<,> #)? Ha: p or u)(<,> #)? (So we will be performing a left or right or 2 tail test.)?Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are normal distributed or t distributed ? with distribution mean ? and distribution…
Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5. the distribution is normal. Explain how you would go about answering the following questions (include your answer to the question in your response): How many sodas would an individual at the 75thpercentile drink per day?
Mr. Stant collected information on how much customers spend at Walmart and Target. He created the following histograms. Which of the statements must be true about the two data sets displayed? a The standard deviation of amounts spent at Walmart is less than the standard deviation of the amounts spent at Target. b The median amount spent at Walmart is equal to the median amount spent at Target. c The standard deviation of amounts spent at Walmart is more than the standard deviation of the amounts spent at Target. d The range of amounts spent at Walmart is equal to the range of amounts spent at Target. e The mean amount spent at Walmart is equal to the mean amount spent at Target.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 63 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between 59 miles per hour and 67 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 59 miles per hour and 67 miles per hour.
The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…
The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and finds the following data (in millions of dollars): 2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7 Perform a hypothesis test using a 8% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 2.4 Ha: Ev 2.4 (So we will be performing a two-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P(zv [ p-value = Step 4: Make a Conclusion About the…
Is a measure of 29 inches "far away" from a mean of 19 inches? Suppose the data come from a sample whose standard deviation is 2 inches. A. How many standard deviation is 29 inches from 19 inches? b. Is 29 inches far away from a mean of 19 inches? c. Suppose the standard deviation of the underlying data is 7 inches. Is 29 inches far away from a mean of 19 inches?
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between 57 miles per hour and 73 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 57 miles per hour and 73 miles per hour.
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
A parenting magazine reports that the average amount of wireless data used by teenagers each month is 5 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 25 teenagers at her high school, and calculates a mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.01 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. E Tables E Keypad Answer Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of…
The average McDonald's restaurant generates $2.6 million in sales each year with a standard deviation of 1. Tatiana wants to know if the average sales generated by McDonald's restaurants in Alaska is different than the worldwide average. She surveys 25 restaurants in Alaska and finds the following data (in millions of dollars):3.2, 1.8, 0.9, 3.2, 3.6, 1.7, 4.2, 2, 3.1, 3.9, 3, 2.9, 2.5, 3.5, 3, 3, 2.4, 5, 3.8, 0.9, 2.2, 2.4, 2.6, 2.8, 3.3Perform a hypothesis test using a 10% level of significance. Find the pp-value of the point estimate. P(p( <or > )= P(z<)=P( ? )=)=? p value =?pp-value==

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