A hypothesis test is conducted with H0 : µ1 - µ2 = 0 vs. Ha: µ1 - µ2 > 0 . Which of the following intervals contains the tail area of the hypothesis test given: 0.005 < P < 0.010 0.050 < P < 0.100 0.025 < P < 0.050 0.010 < P < 0.025

let x be a normal ramdom variable with a mean =169.5 and standard deviation =4.2 ramdom samples of fixed size n=30 are drawn from the distribution, mean, standard deviation od sample mean

1. Below are the results of 30 sixth-grade I.Q. scores. 92 95 97 100 102 106 93 95 98 100 103 108 94 97 99 100 103 108 94 97 100 100 103 108 94 97 100 101 104 109 The histogram for the raw data of 30 sixth-grade I.Q. scores is presented in the graph. 20 18 16 14 12 10 87 94 101 108 115 122 IQ scores Using statistical knowledge, state one valid observation about the distribution of data in context of the scenario. Be sure to write one complete sentence, i.e., use college-level writing, in order to earn full credit. Number of Students

We collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.

5. The sediment density (g/cm³) from water in the Red River flowing through Winnipeg, Manitoba has a distribution with mean value 2.65 and standard deviation 0.85. If 40 random samples of water are collected, what is the approximate probability that the average sample sediment density is between 2.65 and 3.00? (Retain two decimal places in all calculations.) Mean value :2.45 40 samples. P (z.u5sx<3.w)?

The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.8and a standard deviation of 61.5. ​(All units are 1000 cells/μ​L.)Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 124.8 and 370.8​? b. What is the approximate percentage of women with platelet counts between 63.3 and 432.3​?

The area under a particular normal curve between 12 and 16 is 0,9265. A normally distributed variable has the same mean and standard deviation as the parameters for this normal curve. What percentage of all possible observations of the variable lie between 12 and 16? % of all observations of the variable lie between 12 and 16. (Type an integer or a decimal.)