You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=77.3Ho:μ=77.3 Ha:μ>77.3Ha:μ>77.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=4n=4 with a mean of M=91.9M=91.9 and a standard deviation of SD=20.8SD=20.8. 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=0.001α=0.001.
Ho:μ=77.3Ho:μ=77.3
Ha:μ>77.3Ha:μ>77.3
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,
Sample size = 4
Sample mean = 91.9
Sample standard deviation = 20.8
Set up the null and the alternative hypothesis.
Critical value:
The critical value at the given level of significance with 86 degrees of freedom is, 10.215
Decision rule:
Calculate test statistic:
Under the test statistic for one sample t test is,
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