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A quality control engineer is testing the battery life of a new smartphone. the company is advertising that the battery lasts 242424 hours on a full charge, but the engineer suspects that the battery life is actually less than that. they take a random sample of 303030 of these phones to test h_0: \mu=24h 0 ​ :μ=24h, start subscript, 0, end subscript, colon, mu, equals, 24 hours versus h_\text{a}: \mu < 24h a ​ :μ<24h, start subscript, start text, a, end text, end subscript, colon, mu, is less than, 24 hours, where \muμmu is the mean battery life of these phones. the sample data had a mean of 212121 hours and a standard deviation of 161616 hours. these results produced a test statistic of t\approx-1.03t≈−1.03t, approximately equals, minus, 1, point, 03 and a p-value of approximately 0.1560.1560, point, 156. assuming the conditions for inference were met, what is an appropriate conclusion at the \alpha=0.10α=0.10alpha, equals, 0, point, 10 significance level?

Respuesta :

The appropriate conclusion of the hypotheses is that; there is insufficient evidence to support the claim that the mean battery life not up to 24 hours.

What is the Conclusion of the Hypothesis?

We are given;

Null Hypothesis; H₀: μ = 24

Alternative Hypothesis; Hₐ: μ < 24

We are aslo given that;

Significance level; α = 0.10

test statistic; t = 1.03

p-value = 0.156

Now, we see that our p-value is greater than the significance value and as such since the alternative hypothesis is the claim we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean battery life not up to 24 hours.

Read more about Hypothesis Conclusion at; https://brainly.com/question/23305095

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