Question

Stat Ohe sum Save Homework: Ch9 Homework HW Score: 44.51 % , 39.62 of 89 pts 10 of 16 (11 complete) Score: 3.5 of 7 pts Question Help 9.2.11-T Female BMI Male BMI Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. 45 45 27.6033 25.4724 8.853438 5.057941 The test statistic, t is 1.40. (Round to two decimal places as needed.) The P-value is 0.165. (Round to three decimal places as needed.) b State the conclusion for the test. Fail to reject the null hypothesis. There is not sufficient evidence to warant rejection of the claim that men and women have the same mean BMI O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. D. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI 0.901< -25.162 (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? Yes, because the confidence interval contains zero. Question is complete. Tap on the red indicators to see incorrect answers. All parts showing Similar Question

Answer 1

All your answers are correct.

We can use the TI-84 to answer this question.

Steps to be followed.

Press STAT key and scroll right to TESTS.

Scroll down to 4: 2-SampTTest

Scroll right to Stats

Enter the values as:

T127.6033

Sx 8.853438

n145

=25.4724

Sx25.057941

n2 45

$\mu_{1}: \neq \mu_{2}$

Pooled: No

Calculate

2-SamPTTest t 1.401920492 P.1653605715 df 69.9564607 1 27.6033 225.4724

Now to find the confidence interval we need to follow the below steps:

Press STAT key and scroll right to TESTS.

Scroll down to 0: 2-SampTInt

Scroll right to Stats

Enter the values as:

T127.6033

Sx 8.853438

n145

=25.4724

Sx25.057941

​​​​​​​

n2 45

C-level: 0.95

Pooled: No

Calculate

​​​​​​​

2-SaMFTInt C.9007,5.1625) df 69.9564607 1 27.6033 2-25.4724 Sx1 8.853438 45x2-5.057941