## Speed, Size And Strength Are Thought To Be Important

1. Speed, size and strength are thought to be important factors in football performance. Thepaper “Physical and Performance Characteristics of NCAA Division I Football Players”(Research Quarterly for Exercise and Sport (1990): 395-401) reported on physicalcharacteristics of Division I starting football players in the 1988 football season. Information for teams ranked in the top 20 was easily obtained, and it was reported thatthe mean weight of starters on top-20 teams was 105 kg. A sample of 23 starting players(various positions were represented) from Division I teams that were not ranked in thetop 20 resulted in a sample mean of 103. 3 kg and a sample standard deviation of 16. 3 kg. Is there sufficient evidence to conclude that the mean weight for non-top-20 starters isless than the known value for top-20 teams? Conduct hypothesis test using ?=. 01. 2. A drug manufacturer claimed that the mean potency of one of its antibiotics was 0. 800. Arandom sample of n=100 capsules were tested and produced a sample mean of 0. 797,with a standard deviation of s= 0. 008. Do the data present sufficient evidence to refutethe manufacturer’s claim? Let ? = 0. 05. Week 6!3. Suppose the average total cholesterol value for a random sample of 12 ISU students is 190with a standard deviation (s) of 8. Also, the average total cholesterol value for a randomsample of 18 Purdue University students is 180 with a standard deviation (s) of 6. Do thesesample statistics provide sufficient evidence at ?= 0. 01 to claim that the average totalcholesterol value for the population of ISU students is statistically greater than the averagetotal cholesterol value for the population of Purdue university students? Hint: Thishypothesis test is for two means and one tailed. Here, you will use a pooled standarddeviation.

## Speed, size and strength are thought to be important

Question

1. Speed, size and strength are thought to be important factors in football performance. The

paper “Physical and Performance Characteristics of NCAA Division I Football Players”

(Research Quarterly for Exercise and Sport (1990): 395-401) reported on physical

characteristics of Division I starting football players in the 1988 football season.

Information for teams ranked in the top 20 was easily obtained, and it was reported that

the mean weight of starters on top-20 teams was 105 kg. A sample of 23 starting players

(various positions were represented) from Division I teams that were not ranked in the

top 20 resulted in a sample mean of 103.3 kg and a sample standard deviation of 16.3 kg.

Is there sufficient evidence to conclude that the mean weight for non-top-20 starters is

less than the known value for top-20 teams? Conduct hypothesis test using ?=.01.

2. A drug manufacturer claimed that the mean potency of one of its antibiotics was 0.800. A

random sample of n=100 capsules were tested and produced a sample mean of 0.797,

with a standard deviation of s= 0.008. Do the data present sufficient evidence to refute

the manufacturer’s claim? Let ? = 0.05.

Week 6!

3. Suppose the average total cholesterol value for a random sample of 12 ISU students is 190

with a standard deviation (s) of 8. Also, the average total cholesterol value for a random

sample of 18 Purdue University students is 180 with a standard deviation (s) of 6. Do these

sample statistics provide sufficient evidence at ?= 0.01 to claim that the average total

cholesterol value for the population of ISU students is statistically greater than the average

total cholesterol value for the population of Purdue university students? Hint: This

hypothesis test is for two means and one tailed. Here, you will use a pooled standard

deviation.

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