Consider the following results for two samples randomly taken from two populations. Sample A Sample B Sample Size 26 28 Sample Mean 27 25 Sample Standard Deviation 7 6 (a) Determine the degrees of freedom for the t-distribution. (Round your answer down to the nearest integer.) 49 Correct: Your answer is correct. (b) Develop a 95% confidence interval for the difference between the two population means. (Use Sample A − Sample B. Round your answer to three decimal places.) Incorrect: Your answer is incorrect. to Incorrect: Your answer is incorrect. (c) Is there conclusive evidence that one population has a larger mean? Explain. Because the range of the interval is from negative to positive, it indicates that there is

Consider the following results for two samples randomly taken from two populations. Sample A Sample B Sample Size 26 28 Sample Mean 27 25 Sample Standard Deviation 7 6 (a) Determine the degrees of freedom for the t-distribution. (Round your answer down to the nearest integer.) 49 Correct: Your answer is correct. (b) Develop a 95% confidence interval for the difference between the two population means. (Use Sample A − Sample B. Round your answer to three decimal places.) Incorrect: Your answer is incorrect. to Incorrect: Your answer is incorrect. (c) Is there conclusive evidence that one population has a larger mean? Explain. Because the range of the interval is from negative to positive, it indicates that there is

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Given two independent random samples with the following results: n₂ = 8 x₂ = 124 $2 = 28 = 16 n₁ x₁ = 94 $1 = 16 Use this data to find the 90 % confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Given two independent random samples with the following results: ₁ = 16 n₁ = 8 ₁ = 98 ₁ = 70 s₁ = 15 5 = 19 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest integer. Copy Data
K A university would like to examine the relationship between a faculty member's performance rating (measured on a scale of 1-20) and his or her annual salary increase. The table to the right shows these data for eight randomly selected faculty members. Construct a 90% confidence interval for the regression slope. Construct a 90% confidence interval for the slope. LCL= and UCL= (Round to three decimal places as needed.) Rating Increase Rating Increase 17 $2400 14 $2000 18 8 22 $2600 14 $2700 $1800 16 $2100 $1600 15 $1900
You want to know about the mean price of gas per gallon in all gas stations in Indiana. You are going to select 30 random gas stations from Indiana to estimate it. From now on, suppose that you do not know the population standard deviation. Therefore, you instead calculated the sample standard deviation, and it was $0.85. What is the margin of error for a 95% confidence interval for the population mean price of gas per gallon? Using the sample standard deviation value from Question 19 ($0.85), what is the 95% confidence interval if the sample mean price is $3.15? Do you think that the confidence interval will change if you knew that there are 1200 number of gas stations in total in Indiana? What is the reason?
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A researcher is interested in estimating the mean weight of a semi trailer truck to determine the potential load capacity. She takes a random sample of 17 trucks and computes a sample mean of 20,000 pounds with sample standard deviation of 1,500. The 95% confidence interval for the population mean weight of a semi trailer truck is ______________. 19,232 to 20,768 19,367 to 20,633 19,229 to 20,771 18,500 to 21,500 19,365 to 20,635
possible In a random sample of twelve people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.3 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. It can be said that % of the population has a driving distance to work (in miles) that is hetween the interval's endpoints li
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Use the data to calculate the sample variance, s. (Round your answer to five decimal places.) n = 7: 1.6, 3.5, 1.6, 2.1, 3.1, 2.9, 3.0 %3D Construct a 95% confidence interval for the population variance, of. (Round your answers to two decimal places.) to Test Ho: = 0.8 versus H: of + 0.8 using a = 0.05. State the test statistic. (Round your answer to two decimal places.) x2 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to two decimal places.) x2 > x² State the conclusion. H, is rejected. There is sufficient evidence to indicate that the population variance is different from 0.8. H, is rejected. There is insufficient evidence to indicate that the population variance is different from 0.8. H, is not rejected. There is sufficient evidence to indicate that the population variance is different from 0.8. O Ho is not rejected. There is insufficient evidence to indicate that the population variance is different from 0.8.
Given two independent random samples with the following results: n₂ = 8 x₂ = 175 $2 = 11 n₁ = 12 x₁ = = 157 $₁ = 32 Use this data to find the 95% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Given two dependent random samples with the following results: Population 1 43 32 39 39 44 47 37 Population 2 34 19 36 29 46 35 41 Use this data to find the 90% confidence interval for the true difference between the population means. Let d = (Population 1 entry)-(Population 2 entry). Assume that both populations are normally distributed. Copy Data Step 3 of 4: Find the standard deviation of the paired differences to be used in constructing the confidence interval. Round your answer to one decimal place.