hello i need help with these statistic questions please and thank you all information is below in order thank you

question 7

The data in the table represent a possible starting lineup for a basketball team. Use the data to Player | Position | Height (in.) answer parts (a) through (c). (Assume that sampling is without replacement.) Center 83 Guard 70 MOOOR Forward 82 Guard 74 Forward 82 . . . a. Find the population mean height of the five players. H = inch(es) (Type an integer or a decimal. Do not round.) b. Consider samples of size 3 without replacement. Use the following table of sample means to find the mean, -, of the variable, x. Sample Heights X Sample Heights X A, B, C 83, 70, 82 78.33 A, D, E 83, 74, 82 79.67 A, B, D 83, 70, 74 75.67 B, C, D 70, 82, 74 75.33 A, B, E 83, 70, 82 78.33 B, C, E 70, 82, 82 78.00 A, C, D 83, 82, 74 79.67 B, D, E 70, 74, 82 75.33 A, C, E 83, 82, 82 82.33 C, D. E 82, 74, 82 79.33 H = inch(es) (Type an integer or decimal rounded to one decimal place as needed.) c. Find us using only the result of part (a). H= = inch(es) (Type an integer or a decimal. Do not round.)A variable of a population has a mean of u = 77 and a standard deviation of o = 7. a. Identify the sampling distribution of the sample mean for samples of size 49. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not? a. What is the shape of the sampling distribution? O skewed O bimodal O normal O uniform What is the mean of the sampling distribution? H =(Simplify your answer.) What is the standard deviation of the sampling distribution? =(Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variable? O A. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideration. O B. It was assumed that the variable was normally distributed. O C. No assumptions were made because the sampling distribution is normal, regardless of the distribution of the variable under consideration. O D. It was assumed that the distribution of the variable was unimodal.b. In answering part (a). what assumptions did you make about the distribution of the variable? [:1 A. No assumptions were made because, for a relatively large sample size. the sampling distribution is normal. regardless of the distribution of the variable under consideration. [:1 B. It was assumed that the variable was normally distributed. [:1 C. No assumptions were made because the sampling distribution is normal, regardless of the distribution of the variable under consideration. [:1 D. It was assumed that the distribution of the variable was unimodal. 1:. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not? [:1 A. No. because the sample size needs to be at least 30 if the distribution of the variable is unknown. [:1 B. Yes, because the sample size makes no difference in determining the sampling distribution. (:1 C. Yes, because the sample size must be less than 30 if the distribution of the variable is unknown. [:1 D. No. because the sample size must be less than 5 if the distribution of the variable is unknown