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Planning another test to compare consumption. Example 6.15
Chapter , Problem 6.118(choose chapter or problem)
Planning another test to compare consumption. Example 6.15 (page 383) gives a test of a hypothesis about the mean consumption of sugarsweetened beverages at your university based on a sample of size n 100. The hypotheses are H0: m 286 Ha: m 286 While the result was not statistically significant, it did provide some evidence that the mean was smaller than 286. Thus, you plan to recruit another sample of students from your university but this time use a one-sided alternative. You were thinking of surveying n 100 students but now wonder if this sample size gives adequate power to detect a decrease of 15 calories per day to m 271. (a) Given a 0.05, for what values of z will you reject the null hypothesis? (b) Using s 155 and m 286, for what values of x will you reject H0? (c) Using s 155 and m 271, what is the probability that x will fall in the region defined in part (b)? (d) Will a sample size of n 100 give you adequate power? Or do you need to find ways to increase the power? Explain your answer. (e) Use the Statistical Power applet to determine the sample size n that gives you power near 0.80. 6.119 Powe
Questions & Answers
QUESTION:
Planning another test to compare consumption. Example 6.15 (page 383) gives a test of a hypothesis about the mean consumption of sugarsweetened beverages at your university based on a sample of size n 100. The hypotheses are H0: m 286 Ha: m 286 While the result was not statistically significant, it did provide some evidence that the mean was smaller than 286. Thus, you plan to recruit another sample of students from your university but this time use a one-sided alternative. You were thinking of surveying n 100 students but now wonder if this sample size gives adequate power to detect a decrease of 15 calories per day to m 271. (a) Given a 0.05, for what values of z will you reject the null hypothesis? (b) Using s 155 and m 286, for what values of x will you reject H0? (c) Using s 155 and m 271, what is the probability that x will fall in the region defined in part (b)? (d) Will a sample size of n 100 give you adequate power? Or do you need to find ways to increase the power? Explain your answer. (e) Use the Statistical Power applet to determine the sample size n that gives you power near 0.80. 6.119 Powe
ANSWER:Step 1 of 10
From the question it was given standard size and population mean
is given:
With this we additionally define the null and alternative hypothesis are
