A body mass index of more than 25 is considered unhealthful. The technology output given is from 50 randomly and independently selected people from a health agency's study. Test the hypothesis that the mean BMI is more than 25 using a significance level of 0.05. Assume that conditions are met. One-Sample T Test of ? = 25 vs > 25 N Mean StDev SE Mean T P 50 27.916 7.065 0.999 2.92 0.003 Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: ? = 25 Ha: ? ? 25 B. H0: ? < 25 Ha: ? ? 25 C. H0: ? ? 25 Ha: ? = 25 D. H0: ? = 25 Ha: ? > 25 E. H0: ? = 25 Ha: ? < 25 F. H0: ? > 25 Ha: ? ? 25 The test statistic is [ ]. (Type an integer or a decimal. Do not round.) The p-value is [ ]. (Type an integer or a decimal. Do not round.) Interpret the results of the test. Since the p-value is [ ] the significance level, [ ] H0. There is [ ] evidence to conclude that the mean BMI is more than 25 using a significance level of 0.05.
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A body mass index (BMI) of more than 25 is considered unhealthy. The Minitab output given is from 50 randomly and independently selected people from the NHANES study. Test the hypothesis that the mean BMI is more than 25 using a significance level of $0.05$. Assume that conditions are met.
5. Body mass index (BMI) is calculated by dividing a person’s weight by the square of their height. The BMI for middle aged men at risk for diabetes is approximately normal with a population mean = 24 kg/m2 and population standard deviation of 2.7 kg/m². A sample of 58 men are randomly selected from the population. The mean BMI from this sample is 25 kg/m². a. Construct a 95% confidence interval. (1 mark) b. Describe what your 95% confidence interval means. (1 mark) c. Identify a null and alternative hypothesis for a two-sided test. (1 mark) d. Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your word document. (2 marks) e. Using the standard normal chart in Module 03 Section 02, identify the area to the right for your z score. (1 mark) f. Based on your findings, would you accept or reject the null hypothesis with a significance level of α = 0.05. (1 mark) g. Describe the two types of error you can make when you conduct a hypothesis test. (2 marks)
Adi S.
Assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 Ib (based on data from "Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction," by Dansinger et al., Journal of the American Medical Association, Vol. $293,$ No. 1 ). Use a 0.01 significance level to test the claim that the mean weight loss is greater than $0 .$ Based on these results, does the diet appear to have statistical significance? Does the diet appear to have practical significance?
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