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

ID: 3351749 • Letter: 3

Question

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

      Ho:=59.2Ho:=59.2
      Ha:<59.2Ha:<59.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=7n=7 with mean M=54M=54 and a standard deviation of SD=7.3SD=7.3.

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 p-value is...

A less than (or equal to)

B greater than

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 59.2
HA : < 59.2

Hypothesis test results:

Hence,

Test statistic = -1.885

P - value = 0.0542

The P - value is greater than .

Mean Sample Mean Std. Err. DF T-Stat P-value 54 2.7591407 6 -1.8846448 0.0542
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