You wish to test the following claim (H1H1) at a significance level of =0.10=0.1

Question

You wish to test the following claim (H1H1) at a significance level of =0.10=0.10.

      Ho:=59.4Ho:=59.4
      H1:59.4H1:59.4

You believe the population is normally distributed, but you do not know the population standard deviation. You obtain the following sample of data:
Hint: You may want to use Excel to calculate the sample mean and standard deviation, instead of calculating by hand.

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

data 63.6 65.9 50.4 72.4 65.9 60.4 49.5 59.5 61.8 63.3 54.5 65.2

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 59.4
HA : 59.4

Hypothesis test results:

Hence,

Test statistic = 0.841

Variable Sample Mean Std. Err. DF T-Stat P-value data 61.033333 1.9418959 11 0.84110243 0.4182

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