A weight loss program claims that program participants have a mean weight loss of at least 11 pounds after 1 month. You work for amedical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after1 month is listed in the table below. Assume the population standard deviation is 3. At α = 0.01, do you have enough evidence to reject theprogram's claim? Complete parts (a) through (e).5.18.710.85.86.26.47.199.19.19.611.2 11.5 11.6 11.7(a) Identify Ho and H₂. Choose the correct answer below.O A. Ho: μ> 11Ha:μ≤11O C. Ho: μ ≥ 11H₂: μ<117.27.39.7 10.212.2 12.8OE. Ho: ≤11H₂:μ> 11810.412.98.1 8.510.6 10.613.1 15Identify the rejection region(s). Choose the correct answer below.O B. Ho: μ = 11H₂: μ#11D. Ho: μ#11H₂:µ=11OF. Ho: μ< 11Hg: με 11(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.(Round to two decimal places as needed.)OA. The critical values are ±OB. The critical value is

given data, claim : μ≥11population standard deviation =σ=3n=30α=0.01sample mean x¯=∑Xn…

Answered: A weight loss program claims that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You want to test whether a blood pressure medication actually works. You give it to a sample of n = 30 patients. From looking it up in the medical research, you know that the general population has average systolic blood pressure of μ = 120 mm Hg and a standard deviation systolic blood pressure of σ = 20 mm Hg. What kind of hypothesis test should you do? One-Sample z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test
Use the empirical rule to solve the problem (also known as the 68%-95% -99.7% Rule). At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 06. What percentage of students at the college ha GPA between 1.2 and 4.8? 68% 84,13 % 99.7% 95%
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Hypothesis Testing Question: Statewide, social workers have an average annual salary of $29,000. A random sample of 170 social workers in Pocatello have an annual salary of $29,501, with a standard deviation of $1,210. Are the annual salaries of social workers in Pocatello significantly different from the statewide average? Please complete all five steps of the five step model, showing as much of your work as possible. (use alpha = .05 and Z(critical)+-1.96).
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39 (the units are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use the TI-84 Plus calculator. Round the answers to at least four decimal places. search Part: 0/3 Part 1 of 3 (a) What is the probability that the sample mean cholesterol level is greater than 204? The probability that the sample mean cholesterol level is greater than 204 is Part: 1/3 Part 2 of 3 (b) What is the probability that the sample mean cholesterol level is between 190 and 197? The probability that the sample mean cholesterol level is between 190 and 197 is Part: 2/3 Part 3 of 3 (c) Using a cutoff of 0.05, would it be unusual for the sample mean to be less than 193? It (Choose one) Continue Ö X be unusual for the sample mean to be less than 193, since the probability is Et X 5 STREE © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Submit Assignment W TREER 6
You want to study whether music affects people’s ability to learn. You have 10 college students study a list of words with soft classical music playing, then you test how many words they correctly remember. You happen to know that on this particular type of memory test, the population can correctly remember a mean of μ = 7.2 words with a standard deviation of σ = 2.2 words. What kind of hypothesis test should you do? One-Sample t-test Independent-Samples t-test One-Sample z-test Related-Samples t-test
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Find the probability that more than 68% of the sampled adults drink coffee daily.
Page 2 of 21 8. Selling Cars: You sell a brand of automobile tire that has a life expectancy that is normally distributed with a mean life of 30,000 miles and a standard deviation of 2500 miles. You want to give a guarantee for free replacement tires if the tires wear out too soon, but you can only afford to give free replacements on approximately 5% of the tires you sell. How should you word your free replacement guarantee? Draw, shade and label a normal curve to illustrate your results.
Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be σ=3.0. They weigh this weight on the scale 54 times and read the result each time. The 54 scale readings have a sample mean of x=1001.0 grams. The calibration point is set too high if the mean scale reading is greater than 1000 grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too high. Use the α=0.05 level of significance and the P-value method with the TI-84 calculator. 1. Find the appropriate null and alternate hypotheses. 2.Find P-value 3.Determine whether to reject H0 ( reject or do not reject) 4.There (is/is not) enough evidence to conclude that the (calibraton point is set to…

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