The average life of a certain type of brand of battery is 75 weeks. The average life of each of 9 randomly selected batteries is listed below. Assume the battery life distribution is normal. It is of interest to know if the sample data suggests the average life is greater than 75 weeks. Data: 74.5, 75, 72.3, 76, 75.2, 75.1, 75.3, 74.9, 74.8 Determine the null and alternative hypothesis. Based on the p-value computed for this test, decide if the data supports the claim that the average life of the product is greater than 75 weeks. Let mu be the average life of the product. Group of answer choices H0: mu = 75; Ha: mu > 75. Since p-value > 0.05, data supports the claim that the average life of the product is greater than 75 weeks. H0: mu = 75; Ha: mu < 75. Since p-value < 0.05, data does not support the claim that the average life of the product is greater than 75 weeks. H0: mu = 75; Ha: mu > 75. Since p-value > 0.05, data does not support the claim that the average life of the product is greater than 75 weeks

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average life of a certain type of brand of battery is 75 weeks. The average life of each of 9 randomly selected batteries is listed below. Assume the battery life distribution is normal. It is of interest to know if the sample data suggests the average life is greater than 75 weeks.

Data: 74.5, 75, 72.3, 76, 75.2, 75.1, 75.3, 74.9, 74.8

Determine the null and alternative hypothesis. Based on the p-value computed for this test, decide if the data supports the claim that the average life of the product is greater than 75 weeks.

Let mu be the average life of the product.

Group of answer choices
H0: mu = 75; Ha: mu > 75. Since p-value > 0.05, data supports the claim that the average life of the product is greater than 75 weeks.
H0: mu = 75; Ha: mu < 75. Since p-value < 0.05, data does not support the claim that the average life of the product is greater than 75 weeks.
H0: mu = 75; Ha: mu > 75. Since p-value > 0.05, data does not support the claim that the average life of the product is greater than 75 weeks.
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