When 60 people used a certain diet for one year, their weight losses had a standard deviation of 4.7lb. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 6.1lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population.
What are the correct hypotheses for this test?
Calculate the value of the test statistic.
The P-value is:
What is the conclusion at the 0.10 level of significance? Since the P-value is _____ the level of significance, ____ the null hypothesis. There ____ sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to ___lb.
When 60 people used a certain diet for one year, their weight losses had a standard...
13. 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 lb. Use a 0.05 significance level to test the claim that the mean weight loss is greater than 0. Show graphing calculator command in the box below. Step 1: Claim: Step 2: Opposite of the Claim: Step 3: Ho: H: Step 4: a = 0.05 Step 5: Test Statistie: Step 6: P-value Step 7: Step...
When 40 people use the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds. Historically the standard deviation is σ = 4.9 pounds (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....
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Regular muμ mu 1μ1 mu 2μ2 n 3838 3838...
Diet Regular Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Cixon 21 0.78134 lb 0.00443 lb H2 21...
Section 8.3: Testing Hypotheses. In Exercises 9-24, 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 bypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), critical value(s), and state the final conclusion that addresses the original claim. 12. Discarded Plastic The weights (lb) of discarded plastic from a sample of households is listed...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Reqular μ2 26 0.81485 Ib 0.00755 lb 26 0.78439...
A data set includes data from student evaluations of courses. The summary statistics are nequals 91, x overbar equals4.17, sequals 0.69. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25 . Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A....
The piston diameter of a certain hand pump is 0.8 inch. The manager determines that the diameters are normally distributed, with a mean of 0.8 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 25 pistons and determines that the standard deviation is 0.0042 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.10 level of significance? What are the correct hypotheses for...
B??
Data on the weights (b) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet 38 0.78178 lb 0.00443 lb μ2 38 0.80874...
In 2001, 5.6% of people used cocaine. This year, a company wishes to use their employment drug screening to test a claim. They take a simple random sample of 2877 job applicants and find that 131 individuals fail the drug test for cocaine. They want to test the claim that the proportion of the population failing the test is lower than 5.6%. Use .05 for the significance level. Round to three decimal places where appropriate. Hypotheses: H o : p...