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Use technology and a t-test to test the claim about the population mean at the g

ID: 3312847 • Letter: U

Question

Use technology and a t-test to test the claim about the population mean at the given level of significance sample statistics. Assume the population is normally distributéd. Claim. > 80; = 0.10 Sample statistics: x= 822, s-3 6, n-26 using the given What are the null and alternative hypotheses? Choose the correct answer below A. Ho'#80 O B. Ho H2 80 HA: = 80 OD. Ho.-80 HA: > 80 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed) What is the P-value of the test statistic? P-value- (Round to three decimal places as needed) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 80
HA : > 80

Hypothesis test results:

Hence,

Hypotheses: Option C is correct.

Test statistic = 3.12

P - value = 0.002

Conclusion: Option A is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value 82.2 0.70601809 25 3.1160675 0.0023