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Records show that the lifetimes of batteries manufactured by a certain company have a mean of 610 hours and a standard deviation of 134. The company believes that, following some adjustments in production practices, the standard deviation, G, is now less than 134. To see if this is the case, the company takes a random sample of 25 recently produced batteries. The batteries in the sample had a mean lifetime of 615 hours and a standard deviation of 86. Is there enough evidence to conclude, at the 0.01 level of significance, that the company's claim is correct? Assume that the lifetimes of the recently produced batteries are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. (Choose one) Y (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the current standard deviation of lifetimes of batteries manufactured by the company is less than 134? OYes No P |x X 5 ローロ X a S 2 Do OSO □<口 5 P O

Records show that the lifetimes of batteries manufactured by a certain company have a mean of 610 hours and a standard deviation of 134. The company believes that, following some adjustments in production practices, the standard deviation, G, is now less than 134. To see if this is the case, the company takes a random sample of 25 recently produced batteries. The batteries in the sample had a mean lifetime of 615 hours and a standard deviation of 86. Is there enough evidence to conclude, at the 0.01 level of significance, that the company's claim is correct? Assume that the lifetimes of the recently produced batteries are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. (Choose one) Y (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the current standard deviation of lifetimes of batteries manufactured by the company is less than 134? OYes No P |x X 5 ローロ X a S 2 Do OSO □<口 5 P O

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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Records show that the lifetimes of batteries manufactured by a certain company have a mean of 610 hours and a standard deviation of 134. The company believes that, following some adjustments in production practices, the standard deviation, G, is now less than 134. To see if this is the case, the company takes a random sample of 25 recently produced batteries. The batteries in the sample had a mean lifetime of 615 hours and a standard deviation of 86. Is there enough evidence to conclude, at the 0.01 level of significance, that the company's claim is correct? Assume that the lifetimes of the recently produced batteries are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the current standard deviation of lifetimes of batteries manufactured by the company is less than 134? Yes No I X 5 a X S 8 00 O=O OSO □<口 G р <Q DO NE
Transcribed Image Text:Records show that the lifetimes of batteries manufactured by a certain company have a mean of 610 hours and a standard deviation of 134. The company believes that, following some adjustments in production practices, the standard deviation, G, is now less than 134. To see if this is the case, the company takes a random sample of 25 recently produced batteries. The batteries in the sample had a mean lifetime of 615 hours and a standard deviation of 86. Is there enough evidence to conclude, at the 0.01 level of significance, that the company's claim is correct? Assume that the lifetimes of the recently produced batteries are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the current standard deviation of lifetimes of batteries manufactured by the company is less than 134? Yes No I X 5 a X S 8 00 O=O OSO □<口 G р <Q DO NE
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