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- 1. Consider the following results for independent samples taken from two populations a. What is the point estimate of the difference between the two population proportions?b. Develop a 90% confidence interval for the difference between the two population proportions.c. Develop a 95% confidence interval for the difference between the two population proportionsA U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Develop a 95% confidence Interval Estimate for the difference between the two population means.Calculate the smallest sample size required to estimate the population mean under the specifications shown below. a. confidence level 90%, σ=19, and e=6 b. confidence level 95%, σ=23, and e=0.7 c. confidence level 98%, σ=0.5, and e=1 d. confidence level 99%, σ=1.4, and e=0.6 e. confidence level 98%, σ=5, and e=
- Consider the following sample information randomly selected from two populations. Sample 1: n1 =250, X1=30 Sample 2: n2 =100, X2= 33 a.) Calculate a 95% confidence interval for the difference between the two population proportions.Refer to Exercise 18 in Section 9.1. a) Use the Fisher LSD method to find a 95% confidence interval for the difference between the means for annularly threaded and smooth shank nails. b) Use the Tukey–Kramer method to determine which pairs of nail types, if any, differ at the 5% level.If we were to ask for a minimum sample size for a 94% level of confidence what would the value for z-sub-c be?
- The walking speeds of random travelers at Los Angeles International Airport and Dallas/Fort Worth International Airport are summarized below. Direction of Travels Departure Arrival Mean speed (ft/min) 262 268 Standard deviation (ft/min) 52 36 Sample size 36 30 Do people walk faster in the airport when they are departing (getting on a plane) or when they are arriving (getting off a plane)? What is the p-value for this hypothesis test? The walking speeds of random travelers at Los Angeles International Airport and Dallas/Fort Worth International Airport are summarized below. Direction of Travels Departure Arrival Mean speed (ft/min) 262 268 Standard deviation (ft/min) 52 36 Sample size 36 30 Do people walk faster in the airport when they are departing (getting on a plane) or when they are arriving (getting off a plane)? What is the p-value for this hypothesis test? 0.2916 0.5516 0.7084 0.5832Consider the following data for two independent random samples taken from two normal populations. Sample 1 11 6 13 7 9 8 Sample 2 8 7 8 4 6 9 (a) Compute the two sample means. Sample 1 _____ Sample 2 _____ (b) Compute the two sample standard deviations. (Round your answers to two decimal places.) Sample 1_____ Sample 2 _____ (c) What is the point estimate of the difference between the two population means? (Use Sample 1 − Sample 2.) (d) What is the 90% confidence interval estimate of the difference between the two population means? (Use Sample 1 − Sample 2. Round your answers to two decimal places.) ____ to ____for a sample size of 12 and a 90% confidence interval, the t statistic used to estimate U would be.
- Below are the sample standard deviations and sample sizes for independent simple random samples from two populations. Use the two-standard-deviations F-test and the two-standard-deviations F-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 400 n2 = 300 p1 = 0.56 p2 = 0.38 (a) What is the point estimate of the difference between the two population proportions? (b) Develop a 90% confidence interval for the difference between the two population proportions. (c) Develop a 95% confidence interval for the difference between the two population proportions.Use the following data to construct 90% and 95% confidence intervals to estimate the population variance. Assume the data come from a normally distributed population. 213 229 217 216 223 223 208 214 232 223 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places, e.g. 25.3167. Round your answers to 3 decimal places, e.g. 25.316.)90% confidence interval: enter an appropriate value rounded to 3 decimal places ≤ σ2 ≤ enter an appropriate value rounded to 3 decimal places 95% confidence interval: enter an appropriate value rounded to 3 decimal places ≤ σ2 ≤ enter an appropriate value rounded to 3 decimal places