Question

Homework Question #5

A random sample of n=19 North Pole babies is obtained and their mean weight is X = 3570 grams with a sample standard deviation of S = 498 grams. Carry out the appropriate statistical test to test the claim that North Pole babies have a population mean weight µ greater than 3420 grams which is the mean for American newborn babies. In developing your answer:


5a. What is the null hypothesis?

5b. What is the alternative hypothesis?

5c. What is the appropriate test statistic and what is its value for these data?

5d. What is the p-value? What is your interpretation of these results?

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 3420
Alternative Hypothesis, Ha: μ > 3420

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (3570 - 3420)/(498/sqrt(19))
t = 1.313

P-value Approach
P-value = 0.1028
As P-value >= 0.05, fail to reject null hypothesis.