A population of values has a normal distribution with μ=249.5μ=249.5 and σ=28.8σ=28.8. You intend to draw a random sample of size n=76n=76. Find P72, which is the mean separating the bottom 72% means from the top 28% means. P72 (for sample means) =  Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A sumple from a normal population with mu = 50 and sigma = 6 of M=48.20, . the sample mean.corresponds to tz = - 1.50 , then how many scores are in the sample?

A population of values has a normal distribution with μ=41.6 and σ=42.6. You intend to draw a random sample of size n=146.Find P53, which is the score separating the bottom 53% scores from the top 47% scores.P53 (for single values) = Find P53, which is the mean separating the bottom 53% means from the top 47% means.P53 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches

A population of values has a normal distribution with μ=89.6 and σ=35.2. You intend to draw a random sample of size n=32.Find P95, which is the mean separating the bottom 95% means from the top 5% means.The mean =

The two data sets in the table below are dependent random samples. The population of (x - y) differences is approximately normally distributed. A claim is made that the mean difference (x - y) is less than 29.3. X y DII For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t=" before your answers. Round each of your answers to 3 places after the decimal point. (a) Calculate the value of the test statistic used in this test. Test statistic's value = -2.760 61 71 58 48 38 41 (b) Use your calculator to find the P-value of this test. P-value $ 4 44 48 66 43 32 30 29 33 (c) Use your calculator to find the critical value(s) used to test this claim at the 0.07 significance level. If there are two critical values, then list them both with a comma between them. Critical value(s) = -1.700 (d) What is the correct conclusion of this hypothesis test at the 0.07 significance level? O There is sufficient evidence to support the claim that the mean…

A population of values has a normal distribution with μ=179.5 and σ=47.2 You intend to draw a random sample of size n=77. Please answer the following questions, and show your answers to 1 decimal place.Find the value separating the bottom 13% values from the top 87% values. Find the sample mean separating the bottom 13% sample means from the top 87% sample means.

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1511 and the standard deviation was 312. The test scores of four students selected at random are 1910, 1280, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.) The z-score for 1280 is (Round to two decimal places as needed.) The Z-score for 2240 is (Round to two decimal places as needed.) The Z-score for 1420 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice OA. The unusual value(s) is/are (Use a comma to separate answers as needed.) OB. None of the values are unusual.

P and A are independent, random variables. mean of P is 5 and its standard deviation is 3. mean of A is -2 and standard deviation is 6. what is mean of T= - 3P + 20 ? what is the mean of W= A - P? what is variance of D= P - 2A ?

A population of score has μ  = 44. in this population, a score of X = 40 corresponds to z = -0.50. What is the population standard deviation?