In: Statistics and Probability
Problems: (Please show your work and formulas you use for each problem)
A random sample of 4 college students was drawn from a large university. Their ages are 22, 17, 23, and 20 years.
a) Test to determine if we can infer at the 5% significance level that the population mean is not equal to 20.
b) Interpret your conclusion.
The mean and the standard deviation for the sample is calculated using the formula mentioned. The test statistic is calculated using the formula mentioned. The p value is obtained from STATKEY (image attached for reference). We compare the p value with alpha and make the required decision.