Math  /  Data & Statistics

QuestionTest the claim about the population mean μ\mu at the level of significance α\alpha. Assume the population is normally distributed. Claim: μ<4815;α=0.02\mu<4815 ; \alpha=0.02 Sample statistics: xˉ=4917,s=5501,n=54\bar{x}=4917, s=5501, n=54
What are the null and alternative hypotheses? H0:μ4815H_{0}: \mu \geq 4815 Ha:μ<4815H_{a}: \mu<4815 (Type integers or decimals. Do not round.) Find the standardized test statistic t . t=.14t=.14 (Round to two decimal places as needed.) Find the P -value. P=.556P=.556 (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. \square H0\mathrm{H}_{0}. There \square enough evidence at the \square \% level of significance to \square the claim.

Studdy Solution
Decide whether to reject or fail to reject the null hypothesis:
- Compare the P-value to the level of significance α=0.02 \alpha = 0.02 . - Since P=0.556 P = 0.556 is greater than α=0.02 \alpha = 0.02 , we fail to reject the null hypothesis.
Conclusion:
There is not enough evidence at the 2% level of significance to support the claim that μ<4815 \mu < 4815 .

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