Question

An adult green sea turtle weighs on average 350 pounds. With ever-changing ocean conditions, a marine biologist desires to collect data on the weights of green sea turtles in the nearby area. The average weight among the 24 sea turtles was 342 pounds with a standard deviation of 16 pounds.

1.) If the null hypothesis is: Mu = 350, what is the corresponding alternative hypothesis if we want to have a two-sided test?

2.) Calculate the t-statistic.

3.) Calculate the critical value if the alpha level equals .05. Remember whether it is a one- or two-sided test.

4.) What is the conclusion of our test?

Answer 1

Solution :

= 350

=342

S =16

n = 24

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 350

Ha :     350

Test statistic = t

= ( - ) / S / n

= (342-350) / 16 / 24

= −2.449

Test statistic = t = −2.449

P-value =0.0223

= 0.05  

P-value <

0.0223 < 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that