Download #1 Typing speeds (in words per minute) of 20 applicants for a

#1
Typing speeds (in words per minute) of 20 applicants for a secretarial position are as
follows:
55 44 63 47 28 83 46 55 53 72
54 83 70 61 36 46 50 35 56 43
Complete this grouped data table using 20 as the first cutpoint and class width 10:
Typing Speed
(Words per Minute)
Frequency
Relative
Frequency
Midpoint
#2
Mailing costs (in dollars) for 14 packages are as follows:
9.12 12.60 8.75 7.90 15.08 8.20 14.66
6.50 6.82 5.33 8.47 13.20 6.79 8.82
Draw a frequency histogram for this data, using 4 as the first cutpoint and
class width 2. Put appropriate titles on the axes.
#3
Let X = the number of successes in n = 7 trials
X
P(X = x)
in a binomial experiment in which the
0
0.0044
success probability is P(s) = 0.54.
1
Fill in the three missing probabilities in the
2
table (to 4 decimal places of accuracy).
3
4
0.2897
5
0.2040
6
0.0798
7
0.0134
#4
As reported in Scott M. Berry's article, \Drive for Show and Putt for Dough", the mean
distance for tee shots on the men's 1999 PGA tour is  = 272.2 yards with standard
deviation  = 8.12 yards. Assume that the tee-shot distances are normally distributed.
What is the probability that a tee-shot goes between 257 and 287 yards? Give your answer
to 4 decimal places.
#5
Let  be the mean systolic blood pressure of men aged 18 to 29. Determine a 90%
confidence interval for , based on a sample of 36 men aged 18 to 29 in which the sample
mean blood pressure is 120 mmHg. (Assume  = 10.2 mmHg.) Give your answer accurate
to 3 decimal places.
#6
Payment for a truckload of Florida oranges depends on the amount of sugar in the
oranges. How many oranges should be tested to estimate mean sugar concentration 
within a margin of error of 0.55 grams per liter at 90% confidence level? (Assume  = 2.6
grams per liter.)
#7
Consider the hypothesis test {
Suppose critical values of z are 2 and – 2. Suppose
(a) What is the appropriate decision?
(b) For a true , is the decision a Type I error?
(c) For a false
is the decision a Type II error?
#8
Relative frequencies are given
for all vehicle registrations:
Vehicle Size
Compact
Mid
Full
Commercial
But a sample of 300 accident reports
is summarized as follows:
p
0.21
0.46
0.31
0.02
Vehicle Size
Compact
Mid
Full
Commercial
Observed
Frequency
51
124
115
10
(a) The
Goodness-of-Fit Test is used in this problem. In other words,
hypothesis that accidents occur in the given population proportions.
Show step by step the calculation of
(b) Make a decision (to reject
Justify your decision.

.
or not) at significance level  = 0.01.
is the
#10
Parents of 120 children were asked whether they played “I Spy” games with their children.
The following data were obtained:
Frequency of Games
(a) In the
Social Class
NEVER
SOMETIMES
OFTEN
MIDDLE
10
13
25
WORKING
14
23
35
independence test the hypothesis
is that social class and frequency of
games are not associated. Show step by step the calculation of
(b) Make a decision (to reject
Justify your decision.

or not) at significance level  = 0.01.
.