b. It has been reported that the average credit card debt for the newly employed is$3350. The hiring agency feels that their employees have a debt much less thanthis, so it conducts a study on 50 randomly selected new employees and findsthat the average debt is $3050. Given the population standard deviation is $1000.i. Set up the hypothesis test.At the 0.025 significance level is there enough evidence to suggest theaverage debt has changed?ii.

Answered: Image /qna-images/answer/67abfa37-e025-4640-93a3-24bd1ee997a6.jpg

Answered: b. It has been reported that the…

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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Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23. Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. Values for right-tail areas under the t-distribution curve Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652…
A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. You are to conduct a hypothesis test to determine if the means are statistically the same using 5% as alpha What is the computed test statistic?
Contrary to popular opinion, a psychologist claims that the mean IQ score of math instructors is more than 100. She surveyed 25 of them and found their mean at 120 with a standard deviation of 30. Which significance level will reject the null hypothesis completely? A a> 0.14% B a <0.14% a ≥ 0.14% a ≤ 0.14% D
An auditor, pressed for time and on a low budget, is concerned with account errors on customer credit. She takes a sample of 25 accounts, and finds the account error, on average, is $-23, with a standard deviation of $16. Is the claim of the manager that errors average only $-10 supported? In this case, the null hypothesis is what?
According to a November 2014 Winthrop poll, of 852 polled SC residents, 222 of them said they plan to spend less on gifts this holiday season. Suppose 30% of all SC residents will spend less this holiday season. Identify the standard deviation of (all possible) sample proportions for SC resident who will spend less.
1. The fuel efficiency of a new model pick-up truck (truck) is measured in miles per gallon (mpg). A company claims that their new truck gets 25 mpg on average. A consumer group thinks the company is lying and claims that the mean mileage for all the trucks is less than 25 mpg. In a random sample, of forty-five of these trucks the mean mpg was 23.3 mpg with a standard deviation of 5.1 mpg. a. Conduct a hypothesis test to test the consumer group's claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p- value, whether or not you reject Ho and whether you support the claim. b. Write a complete sentence describing what a Type I error is in context. c. Write a complete sentence describing what a Type II error is in context.
The average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?
In a particular year, registered nurses earned an average annual salary of $52,330. A survey was conducted with 48 nurses from a particular state to determine if the annual salary is higher than $52,330 for that state's nurses. The sample average was $61,599 with a sample standard deviation of $7,489. Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to the…
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State the conclusion based on the results of the test. According to the Federal Housing Finance Board, the mean price of a single-family home two years ago was $299,100. A real estate broker believes that because of the recent credit crunch, the mean price has increased since then. The null hypothesis is not rejected. Choose the correct answer below. O A. There is not sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,100. O B. There is sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,100. C. There is sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,100. O D. There is not sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,100.
Decide if the given claim represents the null or alternative hypothesis. a. A governor claimed that more than 76% of residents welcomed the stat-at-home order. The claim would be the alternative hypothesis. b. Hospitals claimed that they did not have the PPE required to keep their personnel safe. This could not be used as a null or alternative hypothesis. c. A Capitol High School spokesperson said that the SAT standard deviation was 22.5 points. The claim would be the alternative hypothesis. d. The senator claimed that unemployment in his state was greater than 18%. The claim would be the alternative hypothesis. e. She thought that on average she spent fewer than 12 hours a week on homework. The claim would be the null hypothesis.
Suppose the null hypothesis is not rejected. State the conclusion based on the results of the test. Six years ago, 11.1% of registered births were to teenage mothers. A sociologist believes that the percentage has decreased since then.

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