How many possible of size n = 4 can be drawn from a population of size 15? (a) 210 (b) 1365 (c) 3003 (d) 32760 What is the shape of the sampling distribution of the means if random sample of size n become larger? (a) left skewed (b) right skewed (c) normal (d) linear Which sample size will give a smaller standard error of the mean? (a) 10 (b) 13 (c) 30 (d) 46

Suppose that in a large population of students, the mean amount of sleep the previous night was ? = 6.95 hours and the standard deviation was ? = 1.65 hours. Consider randomly selected samples of n = 150 students. (a) What is the value of the mean of the sampling distribution of possible sample means?Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of possible sample means. (Round your answer to three decimal places.) s.d.(x) = c) Use the Empirical Rule to find values that fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 68% of all randomly selected samples of n = 150 students, the mean amount of sleep the previous night will be between  and  hours.   (d) Use the Empirical Rule to fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 95% of all randomly selected samples of n = 150 students, the mean amount of sleep will be between  and  hours.

Q1. Researchers developed a "cat IQ test" and find that the population of cats in the United States has a mean score of µ = 25 on this test with a standard deviation of σ = 3. You decide to test a sample of n = 45 cats to do some research about whether some breeds are smarter.   What is the expected value of the sampling distribution of the mean?

(a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.)     Standard Error (a) σ = 54, n = 9   (b) σ = 54, n = 36   (c) σ = 54, n = 144