8.You wish to test the following claim (HaHa) at a significance level of =0.01=0

Question

8.You wish to test the following claim (HaHa) at a significance level of =0.01=0.01.

      Ho:=68.9Ho:=68.9
      Ha:<68.9Ha:<68.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=802n=802 with mean M=68.4M=68.4 and a standard deviation of SD=14.1SD=14.1.

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 =

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 68.9
HA : < 68.9

Hypothesis test results:

Hence,

Test statistic = -1.004

p - value = 0.1578

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