Question

Direction: Solve the following problems and write your solutions on a separate sheet of paper. 1. A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6. a.) Find the 95\% confidence interval of the mean score for all bowlers. b.) Find the 95\% confidence interval of the mean score of a sample of 100 bowlers instead of a sample of 40. 2. Compute the 95\% confidence interval estimate of $\mu$ given the following: $s = 9$, $n = 12$, and $\bar{x} = 27$, $t_{0.02} = 2.201$ 3. A printer manufacturer wants to estimate the pages-per-cartridge print rate of their new printer model. A random sample of 10 units of the new printer model showed a mean of 1400 pages-per-cartridge with a standard deviation of 20. Construct a 98\% confidence interval to estimate the pages-per-cartridge rate of their new printer model. Given: $s = 20$, $\bar{x} = 1400$, and $n = 10$. df = 9, and $\alpha = 2\%$ or 0.02 Using the t-table: $t_{0.02} = 2.821$

          Direction: Solve the following problems and write your solutions on a separate sheet of paper.
1. A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6.
a.) Find the 95\% confidence interval of the mean score for all bowlers.
b.) Find the 95\% confidence interval of the mean score of a sample of 100 bowlers instead of a sample of 40.
2. Compute the 95\% confidence interval estimate of $\mu$ given the following: $s = 9$, $n = 12$, and $\bar{x} = 27$, $t_{0.02} = 2.201$
3. A printer manufacturer wants to estimate the pages-per-cartridge print rate of their new printer model. A random sample of 10 units of the new printer model showed a mean of 1400 pages-per-cartridge with a standard deviation of 20. Construct a 98\% confidence interval to estimate the pages-per-cartridge rate of their new printer model.
Given: $s = 20$, $\bar{x} = 1400$, and $n = 10$. df = 9, and $\alpha = 2\%$ or 0.02
Using the t-table: $t_{0.02} = 2.821$

Direction: Solve the following problems and write your solutions on a separate sheet of paper.
1. A study of 40 bowlers showed that their average score was 186. The standard deviation of the population is 6.
a.) Find the 95% confidence interval of the mean score for all bowlers.
b.) Find the 95% confidence interval of the mean score of a sample of 100 bowlers instead of a sample of 40.
2. Compute the 95% confidence interval estimate of μ given the following: s = 9, n = 12, and x̅ = 27, t0.02 = 2.201
3. A printer manufacturer wants to estimate the pages-per-cartridge print rate of their new printer model. A random sample of 10 units of the new printer model showed a mean of 1400 pages-per-cartridge with a standard deviation of 20. Construct a 98% confidence interval to estimate the pages-per-cartridge rate of their new printer model.
Given: s = 20, x̅ = 1400, and n = 10. df = 9, and α = 2% or 0.02
Using the t-table: t0.02 = 2.821

Added by Richard G.

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