Suppose an experiment is run with a sample of 64 items from a population with a mean of 10.2 and a standard deviation of 0.12. What is the standard deviation of the sampling distribution of the sample mean o- O a. 8 O b.0.015 Oc. 10.08 O d. 0.12

A population has a mean µ = 87 and a standard deviation à = 23. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. ox = (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.) 33

There are 100,000 particles m-3, and the particle diameters follow a normal distribution. The mean diameter is 0.1 µm, and the standard deviation is 0.02 µm. a. How many particles m-3 have diameters larger than 0.15 µm? b. How many particles m-3 have diameters between 0.14 µm and 0.15 µm?

Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Lincoln, Nebraska, equal to $10,500? To decide, you select a random sample of entry level architects from each city. The results of each survey are shown. Assume the population standard deviations are o₁ =$6511 and 2 = $6192. At a = 0.01, what should you conclude? Entry level architects Entry level architects in Denver, CO x₁ = 58,300 n₁ = 39 In Lincoln, NE x2 = 54,240 n2 = 30 What are the null and alternative hypotheses for this test? OA. Ho: H₁₂ = 10,500 Ha: H₁-H2*10,500 OD. Ho: P₁-H2>10,500 Ha: H1-H₂s 10,500 Calculate the standardized test statistic. z= (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) What can you conclude about the data? OB. Ho: H1 H2S 10,500 Ha H1-H2>10,500 OC. Ho: H1 H2210,500 Ha H1-H2 <10,500 OE. Ho: H1 H2*10,500 Ha: 1-2=10,500 OA. Reject Ho. At the 1% level of significance, there is…

Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . What is the standard deviation using the conceptual definition? That is, what is the average distance from the data points to the mean?   A. 5.34   B. 4.09   C. 2.58   D. 7.29

X 11. The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be between 68 and 69 inches? IX

Suppose that a distribution of 300 items has mean 120 and standard deviation 4. Find the z-score of the item x = 126. Z= (Type an integer or decimal rounded to the nearest tenth as needed.)