****PLEASE ANSWER ALL OF FOUR QUESTIONS!!!!****
QUESTION 1: You are curious about the average number of
yards Matthew Stafford throws for each game for the Detroit Lions.
You randomly select 30 games and see that the average yards per
game is 269.1 with a standard deviation of 27.31 yards. You want to
create a 90% confidence interval for the true average number of
yards per game he throws. What is the margin of error for this
estimate?
QUESTION 2: You work for the consumer insights
department of a major big box retailer and you are investigating
the efficacy of a new email marketing campaign. Through the use of
email analytics research, you have determined that in a sample of
825 monitored subscribers, 105 of them opened the email within 24
hours of receiving it. What is the 90% confidence interval for the
true proportion of all email subscribers that opened the email
within 24 hours of receiving it?
QUESTION 3: The Student Recreation Center wanted
to determine what sort of physical activity was preferred by
students. In a survey of 88 students, 56 indicated that they
preferred outdoor exercise over exercising in a gym. The 90%
confidence interval estimating the proportion of all students at
the university who prefer outdoor exercise is given by which of the
following?
QUESTION 4: Based on past data, the proportion of
Major League Baseball (MLB) players who bat left handed was 0.344.
You are interested to see if this is still the case. You conduct a
sample of 49 players and find that 22 are left handed hitters. The
95% confidence interval is ( 0.3097 , 0.5882 ). What is the best
conclusion of those listed below?









QUESTION 1:
n=30
s =27.31
90 % confidence interval
Formula
tc =1.699 ( using ttable )
90 % confidence interval is
QUESTION 2:
n=88
x=56
90% confidence interval for proportion
Formula
Zc= 1.645 ( using ztable )
90 % confidence interval for proportion is
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