Question

You wish to test the following claim (HaHa) at a significance level of α=0.002. Ho:μ=70.3 Ha:μ>70.3...

You wish to test the following claim (HaHa) at a significance level of α=0.002.

Ho:μ=70.3
Ha:μ>70.3

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=6 with mean M=81.2 and a standard deviation of SD=10.7.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

You wish to test the following claim (HaHa) at a significance level of α=0.005.

Ho:μ=52.7
Ha:μ>52.7

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=52 with mean M=57.6 and a standard deviation of SD=11.4.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The statistical software output for this problem is :

(1)

Test statistics = 2.495

P-value = 0.0274

2)

Test statistics = 3.099

P-value = 0.0016

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