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A company that receives shipments of batteries tests a random sample of nine of them before agreeing to take a shipment. The company is concerned that the true mean lifetime for all batteries in the shipment should be at least 60 hours. From past experience, it is safe to conclude that the population distribution of lifetimes is normal with a standard deviation of 3 hours. For one particular shipment, the mean lifetime for a sample of nine batteries was 58.1 hours a Test, at the 1% level, the null hypothesis that the population mean lifetime is at least 60 hours. b. Find the power of a 1%-level test when the true mean lifetime of batteries is 59 hours. E Click the icon to view the standard normal distribution table. a. What are the null and alternative hypotheses for this test? ΟΒ Η, με 60 O A. Ho us60 Hi p> 60 Hi u< 60 OC. He =60 H p#60 OD. Ho: u= 60 H u= 58.1 For this test at the significance level a with sample mean x, hypothesized mean lg. population standard deviation o, sample size n, and z, or za/2. what is the form of the decision rule? x-Ho <-Z/2 or reject H if x- Ho O A. Reject Ho if >Za12 O B. Reject Họ if Ont –x x- Ho OC. Reject Ho if

A company that receives shipments of batteries tests a random sample of nine of them before agreeing to take a shipment. The company is concerned that the true mean lifetime for all batteries in the shipment should be at least 60 hours. From past experience, it is safe to conclude that the population distribution of lifetimes is normal with a standard deviation of 3 hours. For one particular shipment, the mean lifetime for a sample of nine batteries was 58.1 hours a Test, at the 1% level, the null hypothesis that the population mean lifetime is at least 60 hours. b. Find the power of a 1%-level test when the true mean lifetime of batteries is 59 hours. E Click the icon to view the standard normal distribution table. a. What are the null and alternative hypotheses for this test? ΟΒ Η, με 60 O A. Ho us60 Hi p> 60 Hi u< 60 OC. He =60 H p#60 OD. Ho: u= 60 H u= 58.1 For this test at the significance level a with sample mean x, hypothesized mean lg. population standard deviation o, sample size n, and z, or za/2. what is the form of the decision rule? x-Ho <-Z/2 or reject H if x- Ho O A. Reject Ho if >Za12 O B. Reject Họ if Ont –x x- Ho OC. Reject Ho if

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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OC. Reject Ho if > Za Determine the value for - za, Za, or ±Zg/2 as appropriate for this test. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Calculate the test statistic. x- H0 E(Round to one decimal place as needed.) State the conclusion of this test. the null hypothesis. There V sufficient evidence to conclude that the population mean lifetime is less than 60 hours. b. The power of this test when the true mean lifetime of batteries is 59 hours is (Round to four decimal places as needed.)
Transcribed Image Text:OC. Reject Ho if > Za Determine the value for - za, Za, or ±Zg/2 as appropriate for this test. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Calculate the test statistic. x- H0 E(Round to one decimal place as needed.) State the conclusion of this test. the null hypothesis. There V sufficient evidence to conclude that the population mean lifetime is less than 60 hours. b. The power of this test when the true mean lifetime of batteries is 59 hours is (Round to four decimal places as needed.)
A company that receives shipments of batteries tests a random sample of nine of them before agreeing to take a shipment. The company is concerned that the true mean lifetime for all batteries in the shipment should be at least 60 hours. From past experience, it is safe to conclude that the population distribution of lifetimes is normal with a standard deviation of 3 hours. For one particular shipment, the mean lifetime for a sample of nine batteries was 58.1 hours a. Test, at the 1% level, the null hypothesis that the population mean lifetime is at least 60 hours b. Find the power of a 1%-level test when the true mean lifetime of batteries is 59 hours. E Click the icon to view the standard normal distribution table. a. What are the null and alternative hypotheses for this test? O A. Ho us 60 O B. Ho 12 60 H p> 60 H; u< 60 OC. Họ: u= 60 OD. Hp: u= 60 H: u#60 H; u= 58.1 For this test at the significance level a with sample mean x, hypothesized mean ug. population standard deviation o, sample size n, and z, or za/2. what is the form of the decision rule? x- Ho O A. Reject Ho if <-Z/2 or reject Hg if x-Ho O B. Reject H, if < - Za x- Ho OC. Reject Ho if
Transcribed Image Text:A company that receives shipments of batteries tests a random sample of nine of them before agreeing to take a shipment. The company is concerned that the true mean lifetime for all batteries in the shipment should be at least 60 hours. From past experience, it is safe to conclude that the population distribution of lifetimes is normal with a standard deviation of 3 hours. For one particular shipment, the mean lifetime for a sample of nine batteries was 58.1 hours a. Test, at the 1% level, the null hypothesis that the population mean lifetime is at least 60 hours b. Find the power of a 1%-level test when the true mean lifetime of batteries is 59 hours. E Click the icon to view the standard normal distribution table. a. What are the null and alternative hypotheses for this test? O A. Ho us 60 O B. Ho 12 60 H p> 60 H; u< 60 OC. Họ: u= 60 OD. Hp: u= 60 H: u#60 H; u= 58.1 For this test at the significance level a with sample mean x, hypothesized mean ug. population standard deviation o, sample size n, and z, or za/2. what is the form of the decision rule? x- Ho O A. Reject Ho if <-Z/2 or reject Hg if x-Ho O B. Reject H, if < - Za x- Ho OC. Reject Ho if
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