(c) At a = 0.05, test for a significant difference.Find the value of the test statistic. (Round your answer to three decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O Do not reject Ho. We cannot conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.O Reject Ho.We can conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.O Do not reject H. We can conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.O Reject Ho. We cannot conclude that the population mean automobile premium in Pennsylvania is lower than the national mean. 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 thattime, you believed automobile insurance was cheaper there and decided to develop statistical support for your opinion. A sample of 25 automobile insurance policies from thestate 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 annualO Ho: u = 1,503H: u # 1,503premium.o Ho: H< 1,503H:2 1,503O Ho: 2 1,503H:u< 1,503O Ho: us 1,503Hai u > 1,503O Ho: H > 1,503Ha: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 inPennsylvania minus the national mean.)

From the given information we conduct T test.

Answered: e.com website reports that the mean…

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 National Coalition on Healthcare suggests that the mean annual premium that a health insurer charges an employer for a health plan covering a family of four averaged $13,000 in 2009. A sample of 30 families of four yields a mean annual premium paid by their employer to be $13,500 with a sample standard deviation of $300. We are interested in whether the mean annual premium that a health insurer charges an employer for a health plan covering a family of four is different from $13,000 using a significance level of 0.10. Select one: a. tdata = 9.129, do not reject Ho. b. tdata = 9.129, reject Ho. c. tdata = -9.129, do not reject Ho. O d. tdata = 4.156, reject Ho.
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