Question

# Sample Statistic Value of sample statistic Sample mean () Body Mass Index (BMI) 21.65 Sample standard...

 Sample Statistic Value of sample statistic Sample mean () Body Mass Index (BMI) 21.65 Sample standard deviation (s) of Body Mass Index (BMI) 4.33 Sample size 92
1. (13 points) You will use information about the body mass index (BMI) variable for the sample of adolescent girls to perform a hypothesis test. You will test the claim that the mean BMI for all adolescent girls is 21.0.
1. The null hypothesis is H0 : µ = 21.0. State the alternate hypothesis for a two-sided test.
2. First, check that the conditions are met for this hypothesis test. You can assume that the collected data is a random sample.
3. Calculate the test statistic for this hypothesis test using the appropriate formula. Note that the population standard deviation is unknown. YOU MUST SHOW ALL WORK IN YOUR DOCUMENT TO RECEIVE FULL CREDIT. Round any values that you use to three decimal places.
4. Determine the p-value for this hypothesis test using the Standard Normal Table (Z table). State the p-value as a decimal to four decimal places.
5. Draw a conclusion for this hypothesis test and give the reason for your conclusion. Use a level of significance of α = .05.
6. Based on the given information, compute a 95% confidence interval for the population mean BMI of adolescent girls. Note that you were asked to do this in Minitab Assignment 5, so you can use your answer from that assignment. SHOW ALL WORK IN YOUR DOCUMENT for this 95% confidence interval for the population mean BMI of adolescent girls.
7. Is the value of 21.0 contained in your confidence interval? Does this make sense? Why? #### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• The line current of a three-phase engine in delta configuration is 25 A, connected to a...
• Two investment professionals are comparing their return performance. The first professional managed portfolios with an average...
• Problem 7-42 (LO 7-2) [The following information applies to the questions displayed below.] Dahlia is in...
• 29a)A violin string is set in vibration at a frequency of 440Hz. How many vibrations does...
• Both Space X and Blue Origin are pioneering reusable first stage rockets in launching payloads to...
• Now that you know how to calculate sigma and process efficiency, what are your thoughts about...