Question

The weights of 52 randomly selected NFL football players are presented below. The sample mean is 248.38 and the sample standard deviation is 46.68. A 92% confidence interval for the mean weight of football players will be conducted by answering the questions below.

305	265	287	285	290	235	300	230	195
236	244	194	190	307	218	315	265	210
194	216	255	300	315	190	185	183	313
246	212	201	308	270	241	242	306	237
315	215	200	295	187	204	257	185	255
318	230	316	200	324	245	185

a) What are the observational units?

b) Describe the variable collected.

c) Summarize the data by finding the quartiles, the median, the min and max.

d) Produce a boxplot for this data. Based on the boxplot, comment on whether you believe the data to be normally distributed.

e) What is the appropriate t critical value to use?

f) Show your work in producing the 92% confidence interval.

g) Interpret the interval.

Answer 1