High School

For both parts:

a. Assume that the mean body mass index (BMI) of mules and femsies is the same. What are the null and alternative hypotheses?

A. \( H_0: \mu_1 = \mu_2 \)

\( H_1: \mu_1 \neq \mu_2 \)

b. The test statistic, \( t \), is (round to two decimal places as needed).

c. The p-value is (round to three decimal places as needed).

State the conclusion for the test.

Answer :

The null hypothesis for the given question is that the mean body mass index (BMI) of males and females is the same. The alternative hypothesis is that the mean BMI of males and females is not the same.

Part A: Hypotheses

Null Hypothesis (H0): The mean BMI of males (μ1) is equal to the mean BMI of females (μ2).

Alternative Hypothesis (H1): The mean BMI of males (μ1) is not equal to the mean BMI of females (μ2).

Part B: To construct a confidence interval for testing the claim that males and females have the same mean BMI, we need the sample data and the standard deviations. Since the data is not provided, I can't perform the calculation for you.

However, if you had the sample data for both males and females (with their corresponding sample means and standard deviations), you could use a two-sample t-test to test whether there is a significant difference in the mean BMI between the two groups. The confidence interval would help you estimate the range of the population difference between the two means.

If the confidence interval contains the value zero, it suggests that the difference in means is not statistically significant, supporting the null hypothesis (H0) that the mean BMI of males is equal to the mean BMI of females.

Without the actual data, I cannot perform the calculation or draw a conclusion regarding the confidence interval's support for the test. Please provide the necessary data if you want a more specific answer.

To know more about null hypothesis:

https://brainly.com/question/30821298

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The complete question is :

tweifor both parts. a. That the bain that mules and femsies have the same maan body mass index (BMI). What arest the null and ahtemative hypotheses? A. H0i​μ1​≥μ2​ a. Moi 91​=μ2​ H1​P1​⩽P2​ c. H0​μ1​=ν2​ H1​μ1​=H2​ The teut statistic, t, is (Fround is two decimal places as noeded.) The Provite in (Reund to Frise decimal places as needed.) Stale the conclution for ele test. b. Consituct a confidence intervil siatable for tosting tve claim that maies and famaies have the saine mean BMI. (Round 10 throe decimal places as needed).The test statietic, t, is (Rouind to two decimal places as heoded.) The Pryalue is (Round to three decimal places as nevded.) Stale the conclusion for the test. A. Reject the null hypothesis. There is suaficient evidence to warran rejection of the doin that men and wormen hav 8. Fal to reject the nuil hypothesis. There is sutheient evidence to warzant tojection of eva daimi that men aryd womt C. Peject the null frypothesis. There is not sutfieient evidence to warant rejection of the ciaim that men and womern D. Fail to reject the nuef hypothesis. There is not sufficient evidence to warant rejocfori of the claien fhat mon and v b. Construct a confidence interval suitable for testing the clain that males and females haye the same mean BML. (Rourd is three decimal places as neoded.) Does the confidence interval support the conclusion of the test?