Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. Let μ denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the resulting 95% confidence interval is (7.8, 9.4) and suppose we want to test
H 0 : μ = μ 0 H 1 : μ ≠ μ 0
Which of the following values of μ 0 will lead one to fail to reject H 0? Select all that apply.
7.6
9.2
8.4
7.9
7.4
9.7
9.5
8.8
Given confidenc einterval is (7.8 , 9.4)
As the confiden ceinterval conatins the values from 7.8 to 9.4 will fail to reject H0
so, values are as : 9,2 , 8.4 , 7.9 , 8.8
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is...
Question 5. A random sample of 50 bottles of a brand of cough syrup is selected, and the alcohol content of each bottle is measured. Let μ be the mean alcohol content for the population of all bottles of the brand under consideration. The 95% confidence interval estimated from the data is (7.8 μ 9.4). (a) would a 90% confidence interval calculated from the same sample be wider or narrower? Explain. (b) Consider the statement: there is a 95% chance...
Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. The resulting 95% confidence interval for the true population mean alcohol content is (8.4, 10.2) a. Find a point estimate for the population mean. b. What is the margin of error for the confidence interval? b. Would a 98% confidence interval calculated from the same sample have a larger or smaller margin of error?...
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