2. Weight Loss Program. A weight loss company advertises that people using its program lose an average of 8pounds the first month. Suppose a consumer advocacy group gathers evidence to see if this advertisingclaim is inaccurate, testing the hypotheses Ho: μ-8, H,:<8 where μ is the mean weight loss in pounds.a. The p-value based on a very large sample is 0.008. How strong is the evidence (statistical significance)in the claim that on average people in fact lose less than 8 pounds?b. Practical significance has to do with the magnitude and importance of a result. A 99% confidenceinterval based for μ based on the same data is (7.96, 7.98). Practically speaking, does it seem that theclaim of an average of 8 pounds was dishonest? Why or why not?I

a.Suppose µ is the true population mean weight loss in pound.

Answered: Weight Loss Program. A weight loss…

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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A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. A sample of 15 bolts were tested and their variance was recorded to be 10. Stating any assumptions you need to make, test, at the 5% level, whether the bolts are meeting the established standard.
Given the data below, what is the calculated test statistic? Placebo Medication 1 Medication 2 3 4 9 1 3 7 3 5 8 2 5 11 4 4 9 3 SS1 = 5.33 SS2 = 2.8 SS3 = 8.8 T1 = 16 T2 = 21 T3 = 44 n1 = 6 n2 = 5 n3 = 5 ∑X2 = 53 Do you reject the null? Yes No Was there a treatment effect for type of medication on number of anti-anxiety symptoms? Yes No
The table below summarizes baseline characteristics of patients participating in a clinical trial. a) Are there any statistically significant differences in baseline characteristics between treatment groups? Justify your answer. Characteristic Placebo (n = 125) Experimental ( n =125) P Mean (+ Sd. Age 54 + 4.5 53 + 4.9 0.7856 % Female 39% 52% 0.0289 % Less than High School Education 24% 22% 0.0986 % Completing High School 37% 36% % Completing Some College 39% 42% Mean (+ Sd. Systolic Blood Pressure 136 + 13.8 134 + 12.4 0.4736 Mean (+ Sd. Total Cholesterol 214 + 24.9 210 + 23.1 0.8954 % Current Smokers 17% 15% 0.5741 % with Diabetes 8% 3% 0.0438
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You work for a soft-drink company in the quality control division. You are interested in the variance of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the variance to be as low as possible. You gather a random sample of 16 containers. Estimate the population variance at a 80% level of confidence. 11.82 11.83 11.85 11.89 11.9 11.97 12 12 12 12.01 12.02 12.04 12.05 12.11 12.16 12.18 Variance of Data: 0.012 Note: Round all values to 3 decimals and use those rounded values in subsequent calculations. a) Find the lower and upper x critical values at 80% confidence: Lower: Upper: b) Report your confidence interval for o?: Lower Bound: Upper Bound:
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