In order to conduct a hypothesis test for the population mean, a random sample o
ID: 2948939 • Letter: I
Question
In order to conduct a hypothesis test for the population mean, a random sample of 20 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 10.5 and 2.2, respectively. Use Table 2.
Use the critical value approach to conduct the following tests at ? = 0.05.
a.
Calculate the value of the test statistic. (Round your answer to 2 decimal places.)
b.
c.
In order to conduct a hypothesis test for the population mean, a random sample of 20 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 10.5 and 2.2, respectively. Use Table 2.
Explanation / Answer
Solutiona:
t=sample mean-pop mean/samplesd/sqrt(n)
=10.5-9.6/2.2/sqrt(20)
t=1.83
ANSWER:1.83
Solutionb:
df=n-1=20-1=19
alpha=0.05
T crit=1.729
ANSWER:1.729
Solutionc:
t>t crit
1.83>1.729
Reject H0 since the value of the test statistic is greater than the critical value.
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