Question

As a part of his studies, Horace gathered data on the birth weights of 22 babies at a city hospital. He works through the testing procedure:

• H0:μ≥6.1; Ha:μ<6.1
• α=0.04
• The test statistic is t0=x¯−μ0sn√=−2.91.
• The critical value is −t0.04=−1.84.

At the 4% significance level, does the data provide sufficient evidence to conclude that the mean birth weight of babies at the city hospital is less than 6.1 pounds?

Select the correct answer below:

A) There is sufficient evidence that the mean birth weight of babies at the city hospital is less than 6.1 pounds.

B) There is NOT sufficient evidence that the mean birth weight of babies at the city hospital is less than 6.1pounds.

C) There is sufficient evidence that the mean birth weight of babies at the city hospital is less than 6.0 pounds.

D) There is NOT sufficient evidence that the mean birth weight of babies at the city hospital is less than 6.0pounds.

Answer 1

t test statistic value is =-2.91

t critical value is -1.84

Alternative hypothesis is left tailed.

-2.91 < -1.84

Therefore, we reject H0 at

A) There is sufficient evidence that the mean birth weight of babies at the city hospital is less than 6.1 pounds.