You want to test whether or not the following sample of 30 observations follows a normal...
You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53.
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The p-value is
a. between .025 and .05.
b. greater than .1.
c. between .05 and .1.
d. less than .005.
Homework Answers
Answer : (b) (p value is greater than 0.1)
Applying the one sample t-test, with the value t as
t= (sample mean – hypothesized mean) / standard error of sample mean
sample mean (given) = 11.83
standard deviation = 4.53
n =30
hypothesized mean based on the 30 samples = summation of the values given in the table / n = 11.43
Applying all the values for the t test : t-statistic = 0.484 ;
Comparing the values of the t distribution table, thus the p value = 0.6323 (at 95% of confidence level)
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