Construct the confidence interval for the population mean μ.   c=0.95​, x=8.7​, σ=0.8​, and n= 47   A 95​% confidence interval for μ is ______. ​(Round to two decimal places as​ needed.

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=21.1σ=21.1. We would like to be 99.5% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?

Let μ denote some population mean of interest and suppose a 95% confidence interval for μ is calculated to be (0.63, 0.73) and a 99% confidence interval for μ is calculated to be (0.61,0.75). Also, suppose that we want to test H0: μ = 0.74 vs. Ha: μ ≠ 0.74 What can you say about the corresponding p-value? Choose from following letters.  a. The corresponding p-value will be smaller than 0.05 but larger than 0.01. b. The corresponding p-value will be larger than 0.05. c. I can’t say anything about the corresponding p-value until I run the test.

If X follows a gamma distribution with a mean of 12 and a standard deviation of 6 then the parameter:

The amounts of a chemical compound y that dissolved in 100 grams of water at various temperatures x were recorded. The data were coded and recorded in the accompanying table. Use this information to answer parts a and b. a) Construct a​ 99% confidence interval for the average amount of chemical that will dissolve in 100 grams of water at 50°C. ______ < μ_y|50 < _______ ​(Round to three decimal places as​ needed.) ​b) Construct a​ 99% prediction interval for the amount of chemical that will dissolve in 100 grams of water at 50°C. __________ < y₀ < _____________ ​(Round to three decimal places as​ needed.)

Scores on the Wechsler Adult Intelligence Scale are approximately normally distributed with 100 and σ=15. Use Table B or software to answer the following questions. What scores fall in the lowest 25% of the distribution? How high a score is needed to be in the highest 5%?

If x̄=89​, σ=13​, and n=70​, construct a 95​% confidence interval estimate of the population​ mean, μ.   ____≤μ≤______ ​(Round to two decimal places as​ needed.)

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=79.4σ=79.4. We would like to be 99% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?n=

Construct the confidence interval for the population mean μ.   c=0.95​, x=7.3​, σ=0.6​, and n=51 A 95​% confidence interval for μ is ,. ​(Round to two decimal places as​ needed.)

Match the confidence level with the confidence interval for the population mean. Type the correct letter in each box. 1.± 1.645 2.1.282 √n 3.7±1.96) ( A. 95% B. 80% C. 90%