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MATLAB: An Introduction with Applications

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 local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 38 minutes. The owner has randomly selected 22 customers and delivered pizzas to their homes in order to test whether the mean delivery time actually exceeds 38 minutes. Suppose the *p*-value for the test was found to be 0.0298. State the correct conclusion.

- At α = 0.025, we fail to reject H₀.
- At α = 0.03, we fail to reject H₀.
- At α = 0.05, we fail to reject H₀.
- At α = 0.02, we reject H₀.

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A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 38 minutes. The owner has randomly selected 19 customers and delivered pizzas to their homes in order to test whether the mean delivery time actually exceeds 38 minutes. Suppose the p-value for the test was found to be 0.0 276. State the correct conclusion.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Nabisco claims that Chip Ahoy Cookies have an x ̅=28.67 chocolate chips per cookie with a SD=2.67. You randomly select 36 cookies from a new bag and carefully remove all the chocolate chips from each of the 36 cookies. You find the mean of the chocolate chips for the 36 cookies is 24.27 chocolate chips per cookie. Calculate the standard error for the chocolate chips in your experiment. (round to the nearest hundredth).
Many people believe that the average number of Facebook friends is 328. The population standard deviation is 32.2. A random sample of 60 high school students in a particular county revealed that the average number of Facebook friends was 340. At α = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 328?
Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 381 pounds. Agriculture scientists believe that the new fertilizer may increase the yield. State the appropriate null and alternate hypotheses. Answer the following question.
I would like to know how to solve these questions with a step-by step. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290. State the correct conclusion. Select one: A. At α = 0.02, we reject H0. B. At α = 0.025, we fail to reject H0. C. At α = 0.05, we fail to reject H0. D. At α = 0.03, we fail to reject H0.
A recent study found that 61 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 39 grams of potato chips as compared to a mean of 28 grams for 51 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.2 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.7 grams. What is the test statistic? tSTAT= __________ (Round to two decimal places as needed.)
Maddie has two different routes that she can take to get to school. The first route is a longer distance, but has no traffic lights. The second route is a shorter distance, but has a lot of traffic lights. The amount of time it takes to get to school by the "longer distance" route follows a Normal distribution with mean 20 minutes and standard deviation o = 1.5 mirutes. The amount of time it takes to get to school by the "shorter distance" route follows a Normal distribution with mean =17 minutes and standard deviation a = 6.5 minutes. Suppose we select independent random samples of 20 days for each route. Let XL-Xs be the đifference in the sample mean travel time for the two routes %3D %3D (a) Calculate the probability that the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance. (b) Should we be surprised if the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance?
The mean number of hours that Raphael worked over the past four weeks is 36.75. If he works 39 hours this week, what will the mean number of hours be that he will have worked over the five-week period? What is the five-week mean?

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