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# math forum, statistics homework help

Tell me the P-value of 2.647 and end with the same result below in steps please?

- You wish to test the claim that μ ≤ 24 at a level of significance of α = 0.01 and are given sample statistics n = 40, = 25.8. Assume the population standard deviation is 4.3. Compute the value of the standardized test statistic. Round your answer to two decimal places.

The null hypothesis H0 μ = 24

the alternative hypothesis is μ>24

the sample standard deviation = population std/sqrt(n) = 4.3/sqrt(40) = 0.6799

The standardized test statistic

Z = (25.8-24.0)0.6799 = 2.647

at α = 0.01 the critical value of the one side test is 2.32

since 2.647>2,32, so we reject the null hypothesis, and accept alternative hypothesis μ>24.

Tell me the P-value of 2.647 and end with the same result above?