Use the data below this question for questions 19 to 26. During a particular week, 13 babies were born in a maternity unit. Part of the standard procedure is to measure the length of the baby. The lengths, in centimeters (cm), of the babies born in this particular week are given below. Assuming that this sample came from an underlying normal population, test at the 2.5% significance level, the hypothesis that the population mean length is less than 50 cm.

Length (cm) 49 50 45 51 47 49 48 54 53 55 45 50 48

Choose the correct null and alternative hypotheses.

Group of answer choices

H0: = 50 cm; Ha: 50 cm

H0: 50 cm; Ha: = 50 cm

H0: = 50 cm; Ha: < 50 cm

H0: = 50 cm; Ha: > 50 cm

Flag question: Question 20Question 202 pts

Characterize the type of test.

Group of answer choices

Left-tailed test

Two-tailed test

Right-tailed

Flag question: Question 21

Compute the average of the sample (x).Round your answer to three decimal places.

Flag question: Question 22

Compute the standard deviation of the sample (s). Round your answer to three decimal places.

Flag question: Question 23

Using the average and standard deviation of the sample computed in questions 21 and 22, compute the value of the test statistic. Round your answer to three decimal places.

Flag question: Question 24

Determine the critical value(s). Round your answer to three decimal places.

Group of answer choices

-1.771

-1.782

-2.160

-2.179

Flag question: Question 25

Decide whether or not we should reject the null hypothesis.

Group of answer choices

Since the test statistic falls in the non-rejection region, we reject the null hypothesis.

Since the test statistic falls in the rejection region, we reject the null hypothesis.

Since the test statistic falls in the non-rejection region, we fail to reject the null hypothesis.

Since the test statistic falls in the rejection region, we fail to reject the null hypothesis.

Flag question: Question 26

Interpret the results of the hypothesis test.

Group of answer choices

At the 2.5% significance level, we do not have sufficient evidence to reject the hypothesis that the mean length of a baby, born in the maternity unit, is 50 cm.

At the 2.5% significance level, we have sufficient evidence to reject the hypothesis that the mean length of a baby, born in the maternity unit, is 50 cm,