Question

In: Statistics and Probability

To test: Ho:: mu >= 26 Ha: mu < 26 We took...

To test: Ho:: mu >= 26

Ha: mu < 26

We took a sample of size 400. The sample mean was 25.98 and s = 0.80 .

Find the p-value.

a.

0.3085

b.

0.01

c.

0.1587

d.

0.025

e.

0.6915

Expert Solution

Data Summary

The null and alternative hypotheses are
Ho : μ ≤ 26       μ is the population mean
Ha : μ < 26

α = 0.05
We use T test since population standard deviation is unknown, and sample size is small
Using the below formula, we get the test statistic

Degrees of Freedom (df)
df = n - 1 = 399

t-statistic

t-statistic = -0.5

For t = -0.5 df = 399 we find the Left Tailed p-value using t tables

p-value = 0.3085

Answer:

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orchestra answered 2 years ago

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