In 2010, the mean expenditure for autoinsurance in a certain state was $806. Aninsurance salesperson in this state believesthat the mean expenditure for autoinsurance is less today. She obtains a simplerandom sample of 32 auto insurance policiesand determines the mean expenditure to be$790 with a sample standard deviation of$39.13. Is there enough evidence to supportthe claim that the mean expenditure forauto insurance is less than the 2010 amountat the a =0.05 level of significance?Test Statistic =Round tothousandths place.P-ValueRound tothousandths place.Decision(Write'Reject' or 'Fail to Reject')

We have given that Sample size n= 32 Sample mean = 790 Standard deviation = 39.13

Answered: surance in a certain state was $806. An…

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

A half-century ago, the mean height of women in a particular country in their 20s was 62.3inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.25inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 29of today's women in their 20s have mean heights of at least 63.41 inches?
I only need B and C
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $58and a standard deviation of $55.Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses.
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
4. The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 18¢. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 93¢ with a standard deviation of 17¢. Do the data support the claim at the 1% level?
In 16 women with diabetes, the morning blood sugar mean was 49.4 with a standard deviation of 24.0. In normal healthy women, the mean was 47.0. From the sample information, can we conclude that the blood sugar mean in women with rheumatoid arthritis is greater than that in normal women? Assume a significance level of 0.05.
I wanted to do a market research study estimating the average hourly wage earned by childcare workers in the bay area. How large does my sample need to be in order to have a margin of error that is less than $0.50 with a 95% confidence in the result. Assume that the standard deviation of the wages is $2 per hour.
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.02 gallon. You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.992 gallon. What is the test statistic?
............
4. Before applying to law school in the U.S., students need to take an exam called the LSAT. Before applying to medical school, students need to take an exam called the MCAT. The mean score for LSAT is 151 with a standard deviation of 10. The mean score for MCAT is 25.1 with a standard deviation of 6.4. Jean took both exams. She scored 172 on LSAT and 37 on MCAT. Calculate the z-scores for each exam.
The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745 with a standard deviation of $1,200. Let = 0.05., what is our decision about the average cost? Select one: a.Less than $8,500 b.Greater than 8500 c.None is correct d.Not equal to $8,500 e.Equal to $8,500

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