You wish to test the following claim (HaHa) at a significance level of α=0.02 Ho:μ=53.6 Ha:μ>53.6 You believe the population is normally distributed and you know the standard deviation is σ=20.3. You obtain a sample mean of M=58 for a sample of size n=70 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ? What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = ?
You wish to test the following claim (HaHa) at a significance level of α=0.02
Ho:μ=53.6
Ha:μ>53.6
You believe the population is
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ?
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = ?
Given:
The null and alternate hypotheses are
Population standard deviation
Sample size (n) = 70
Sample mean
Population variance is known, so z test will be used.
As the test is right tailed, so here the concern is for larger values of test statistic.
From standard normal tables or technology, P (z > 2.0537) = 0.02
So, the critical value is 2.054
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