2. In the 1st semester, Ms. Manimtim discovered that her advisory class had an averagegrade of less than 70% in their Pre-Calculus course. However, she believed that herstudents performed well during the discussion and decided to apply hypothesis testing todetermine if this claim was true. She got a random sample of 15 students which resultedwith a mean of 87.3 and standard deviation of 6.3. (Use p-value)

Given that Sample size n =15 Sample mean=87.3 Standard deviation =6.3

Answered: In the 1st semester, Ms. Manimtim…

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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Similar questions

Although many people think they can put a meal on the table in a short period of time, a recent article reported that they end up spending about 40 minutes doing so. Suppose another study is conducted to test the validity of this statement. A sample of 25 people is selected, and the length of time to prepare and cook dinner is recorded with mean=45.628 minutes, standard deviation=6.9587 minutes. Is there evidence that the population mean time to prepare and cook dinner is greater than 40 minutes? Use a level of significance of 0.05. Determine the p-value and interpret its meaning.
The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 2014. Being from Pennsylvania at that time, you believed automobile insurance was cheaper there and decided to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1,430 with a standard deviation of s = $160. (a) Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual O Ho: u = 1,503 H: u # 1,503 premium. o Ho: H 1,503 O Ho: H > 1,503 Ha:uS 1,503 (b) What is a point estimate in dollars of the difference between the mean annual premium in Pennsylvania and the national mean? (Use the mean annual premium in Pennsylvania minus the national mean.)
A famous welfare association in Karachi claims that it takes 9 minutes on average to reach its destination in emergency situations. To test this claim, the agency which licences ambulance services had them timed on 50 emergency calls, getting a mean of 10.4 minutes with a standard deviation of 2 minutes. At the 5% significance level test the claim that the average time the ambulance takes to reach its destination is 9 minutes.
A professional skier was trying to decide whether to use a new racing wax for cross-countryskis. He decided that the wax would be worth the price if he could average less than 55seconds to ski a course he knew well, so he planned to test the wax by racing on the course 8times. His sample of race times found a mean of 53.1 seconds, and standard deviation 7.0seconds. Is this sufficient evidence he should he buy the wax? Test at a .10 significancelevel.
American Theaters knows that a certain hit movie ran an average of 84 days in each city, and the corresponding standard deviation was 10 days. The manager of the southeastern district was interested in comparing the movie’s popularity in his region with that in all of American’s other theaters. He randomly chose 75 theaters in his region and found that they ran the movie an average of 81.5 days. State appropriate hypothesis for testing whether there was a significant difference in the length of the picture’s run between theaters in the Southeastern district and all of American’s other theaters. At 1 percent significance level, test these hypotheses.
The average number of calories from a fast food meal for adults in the US is 842 calories. A nutritionist believes that the average is higher than reported. They sampled 32 meals that adults ordered and found the sample mean to be 858 calories with a standard deviation of 49 calories. What are the null and alternative hypotheses?
Independent random samples of patients who had received knee and hip replacement were asked to assess the quality of service on a scale from 1 (low) to 7 (high). For a sample of 83 knee patients, the mean rating was 6.543 and the sample standard deviation was 0.649. For a sample of 54 hip patients, the mean rating was 6.733 and the sample standard deviation was 0.425. Test, against a two-sided alternative, the null hypothesis that the population mean ratings for these two types of patients are the same.
A sample of 45 adult men from Lahug showed that the mean time they spend working from home is 28.50 hours per week with a standard deviation of 4 hours. Another sample of 40 adult men from Pardo showed that the mean time spent by them working from home is 23.25 hours per week with a standard deviation of 5 hours. Using a 2.5% significance level, can you conclude that the mean time spent working from home by adult men in Lahug is greater than that for adult men in Pardo? Assume that the standard deviations for the two populations are equal.
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.2 minutes with a standard deviation of 1.6 minutes. At the 0.05 level of significance, test the hypothesis that the mean waiting time for bus number 14 during peak hours isles than 10 minutes. What is the p-value for this test? Group of answer choices 4.97e-7 or 0 (zero or a very small number) from the t-distribution 0.999999503 -7.42 0 (zero or a very small number) from the z-distribution
The breaking force of the cables produced by a manufacturer is 1800 lbs (lb) and the standard deviation is 100 lbs. It is claimed that the breaking force can be increased with a new technique in the manufacturing process. To test this claim, a sample of 50 wires is taken and tested. The average breaking force of the samples is found as 1850 lb. Can we support this claim at the 0.01 significance level?
Give hypothesis, rejection region and test statistic and conclusion please.
Based on the information from the U.S census bureau the mean travel time to work in minutes for all workers 16 years old and older was 27.5 minutes. A large company with offices in several states randomly sample 85 of its workers to ascertain their commuting times. The sample mean was 23.6 minutes,and the population standard deviation is 5.41 minutes. At the 0.05 level of signifance can it be concluded that the mean commuting time is less for this particular company

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