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Paste B tra C Merge Center Conditional Format Cell Formatting as Table Styles H31 A E F G H 21 22 23 B с D At a 98.96% LC, is
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3]Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

Ho: μ=70

Ha: μ≠70

This corresponds to a two-tailed test, for which a z-test for one mean, with known population standard deviation will be used.

Rejection Region: Based on the information provided, the significance level is α=0.063, and the critical value for a two-tailed test is zc=1.86.

The rejection region for this two-tailed test is R={z:∣z∣>1.86}

(3) Test Statistics

The z-statistic is computed as follows:

X - μo 2 = 72 - 70 12/V100 1.667 σ/νη

Decision about the null hypothesis

Since it is observed that ∣z∣=1.667≤zc​=1.86, it is then concluded that the null hypothesis is not rejected.

Using the P-value approach: The p-value p=0.0956, and since p=0.0956≥0.063, it is concluded that the null hypothesis is not rejected.

Conclusion: It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population mean μ is different than 70, at the 0.063 significance level.

NOTE: AS PER THE GUIDELINES I HAVE DONE THE FIRST ONE QUESTION PLEASE REPOST THE REST. THANK YOU

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