According to a magazine, people read an average of more than three books in a month. A survey of 30 random individuals found that the mean number of books they read was 3.2 with a standard deviation of 1.26.
a. To test the magazine's claim, what should the appropriate hypotheses be?
b. Compute the test statistic.
c. Using a level of significance of 0.05, what is the critical value?
d. Find the p-value for the test.
e. What is your conclusion?
The p-value is ______________ (less than/greater than) the chosen value of α, so ____________ (do not reject/reject) the null hypothesis. There is ___________ (sufficient/insufficient) evidence to conclude that mean is greater than 3.
According to a magazine, people read an average of more than three books in a month....
According to a magazine, people read an average of more than three books in a month. A survey of 30 random individuals found that the mean number of books they read was 3.2 with a standard deviation of 1.25. a. To test the magazine's claim, what should the appropriate hypotheses be? b. Compute the test statistic. c. Using a level of significance of 0.05, what is the critical value? d. Find the p-value for the test. e. What is your...
According to a magazine, people read an average of more than three books in a month. A survey of 25 random individuals found that the mean number of books they read was 2.9 with a standard deviation of 1.22. a. To test the magazine's claim, what should the appropriate hypotheses be? b. Compute the test statistic. c. Using a level of significance of 0.05, what is the critical value? d. Find the p-value for the test. e. What is your...
A fitness magazine claims that the mean cost of a yoga session is not more than $13. You work for a consumer group and are asked to test this claim. You find that a random sample of 27 yoga sessions has a mean cost of $14.32 and a standard deviation of $2.40. At ?-0.025, do you have enough evidence to reject the magazine's claim? Assume the population is normally distributed. a. Ho HA b. Find the critical value (s) and...
An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets. A random sample of leading companies in France gave the following percentage yields based on assets. 4.2 5.5 3.6 3.9 2.7 3.5 2.8 4.4 5.7 3.4 4.1 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Use a calculator to verify that the sample variance is s2 ≈...
You may need to use the appropriate appendix table or technology to answer this question Consider the following hypothesis test H0: p = 0.20 Ha: p # 0.20 A sample of 400 provided a sample proportion p = 0.185 (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) p-value- (C) 0.05, what is your conclusion? 0 Reject H0. There is insufficient evidence...
An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets. A random sample of leading companies in France gave the following percentage yields based on assets. 4.2 5.9 3.2 3.5 2.3 3.5 2.8 4.4 5.7 3.4 4.1 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Use a calculator to verify that the sample variance is s2 ≈...
The average American gets a haircut every 43 days. Is the average larger for college students? The data below shows the results of a survey of 12 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 45, 53, 39, 46, 37, 47, 43, 40, 35, 53, 39, 55 What can be concluded at the the α = 0.10 level of significance level of significance? A) For this study, we should...
A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 10 years. A survey of 119 companies reported in The Wall Street Journal found a sample mean tenure of 9.4 years for CEOs with a standard deviation of s= 5.1 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You...
A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 10 years. A survey of 76 companies reported in The Wall Street Journal found a sample mean tenure of 9 years for CEOs with a standard deviation of s=5.6 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) _______ (b) Use the t distribution table to compute a range for the p-value. a) p-value > 0.200 b) 0.100 < p-value < 0.200 c) 0.050 < p-value < 0.100 d) 0.025 <...