A sample of five measurements, randomly selected from approximately normally distributed population, resulted in the survey statistics are as follows: sample mean is 5.6, s=1.8. Test the null hypothesis that a mean of the population is 8 against the alternative hypothesis μ<8. Use α=0.05 a. The critical value is 2.776 2.132 2.571 2.015 b. The value of the test statistic is -2.98 2.98 2.6 -2.6 c. The Decision is Reject the null hypothesis. There is a significant difference between the sample mean and the population mean. Accept the null hypothesis.There is a significant difference between the sample mean and the population mean. Reject the null hypothesis. There is no significant difference between the sample mean and the population mean. Accept the null hypothesis.There is no significant difference between the sample mean and the population mean. d. The kind of test is two-tailed one-tailed e. The test statistic to be used is t z p f
A sample of five measurements, randomly selected from approximately
a. The critical value is
2.776
2.132
2.571
2.015
b. The value of the test statistic is
-2.98
2.98
2.6
-2.6
c. The Decision is
Reject the null hypothesis. There is a significant difference between the sample mean and the population mean.
Accept the null hypothesis.There is a significant difference between the sample mean and the population mean.
Reject the null hypothesis. There is no significant difference between the sample mean and the population mean.
Accept the null hypothesis.There is no significant difference between the sample mean and the population mean.
d. The kind of test is
two-tailed
one-tailed
e. The test statistic to be used is
t
z
p
f
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