Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 36 9.4 8.29 2 48 7.2 14.22 Construct a 90% confidence interval for the difference in the population means. (Use µ₁ −µ₂. Round your answers to two decimal places.) to Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) to

Wk Qu. 13-11 A simulation returns... A simulation returns the following statistics: Mean 100 Standard Deviation: 5 Mode: 96 Minimum:75 Maximum: 135 Standard Error: 8. What is the most likely value? Most likely value A 68% confidence interval for the true mean would start at a value of 92 and end at a value of 108. A 68% confidence interval for the true mean would start at a value of and end at a value 108

You may need to use the appropriate appendix table or technology to answer this question. The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 n1 = 60 n2 = 25 x1 = 13.6 x2 = 11.6 ?1 = 2.4 ?2 = 3 (a) What is the point estimate of the difference between the two population means? (Use  x1 − x2.)   (b) Provide a 90% confidence interval for the difference between the two population means. (Use  x1 − x2.  Round your answers to two decimal places.)  to  (c) Provide a 95% confidence interval for the difference between the two population means. (Use  x1 − x2.  Round your answers to two decimal places.)  to

Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"

Also included in question find estimated variance of errors, estimated variance of slope, and 90% and 95% confidence intervals for slope. Thank you so much

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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.

Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 36 9.5 8.81 2 47 7.5 14.82 Construct a 90% confidence interval for the difference in the population means. (Use #₁-₂. Round your answers to two decimal places.) to Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) to What does the phrase "90% confident" or "99% confident" mean? ○ In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose ₁-₂. Hence, we are fairly certain that this particular interval contains #₁ H₂ ○ In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose #₁ - #₂. Hence, we are fairly certain that this particular interval contains #₁ - M₂. O 90% (or 99% as the case may be) of all values from populations 1 and 2…