Consider versus A random sample of 35 observations

Ответ:

sauvifatcat

06.02.2022

Complete Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with σ=7.2.

Calculate the p-value. Round your answer to four decimal places.

The p-value = 0.030742

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 38$

The sample size is n = 35

The sample mean is $\= x = 40.27$

The standard deviation is $\sigma = 7.2$

The null hypothesis is H_o : μ=38

The alternative hypothesis is H1: μ>38

Generally the test statistics is mathematically represented as

$t = \frac{ \= x -\mu }{\frac{\sigma }{ \sqrt{n} } }$

=> $t = \frac{ 40.27 - 38 }{\frac{ 7.2 }{ \sqrt{ 35} } }$

=> t =1.87

Generally from the z table the p-value of (Z 1.87 ) is

p-value = P(Z 1.87) = 0.030742

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Consider versus A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with Calculate the p-value. Round your answer to four decimal places.

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