Random
Random
Random
Random
Random
100

#17 Construct the classes for this data set (Width of 10):

12   24   37   49   53   42   14   42   36   28   48   32   13   51   11   22   39   56   16   21   45

Classes: 10-19, 20-29, 30-39, 40-49, 50-59

100

#13 What is the range for this data set?

82   101   120   63   87   59   113   103   79   98   118

61

100

#9 (True/False) The total relative frequency always equals 1.

True

100

#5 If a problem says p=0.5324, what is this converted into for percentage?

53.24%

100

#1 Data Set:

12   34   15   23   30   35   19

What is the mean?

24

200

#18 Data Set:

12   34   15   23   30   35   19

What is the median?

23

200

#14 Data Set:

11   23   35   20   23   35   22   31   23   12   11

What is the mode?

23

200

#10 Draw out the sample mean and the sample proportion (the symbols)

Mue and MueP

200

#6 Determine the mean and standard deviation of the variable X for the following binomial distributions: N = 4 and pie = 0.10.

Mean: 0.4

Standard Deviation: 0.6

200

#2 Please construct a quartile diagram with this information (#)

Q1 = 27838

Q2 = 34543

Q3 = 38628

300

#19 Compute the Z Scores for this data set. Are there any outliers? Why?: (The standard deviation = 7.874)

-8   -5   7   9

1) -1.27

2) -0.89

3) 0.64

4) 0.89

300

#15 The weight of an energy bar is approximately normally distributed with a mean of 42.05 grams with a standard deviation of 0.025 gram. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.035 grams?

0.1151

300

#11 Toby’s Trucking Company determined that the distance traveled per truck per year is normally distributed, with a mean of 50 thousand miles and a standard deviation of 12 thousand miles. What proportion of trucks can be expected to travel between 34 and 50 thousand miles in a year?

0.4082

300

#7 A random sample of 50 households was selected for a phone (landline and cellphone) survey. The key question asked was, “Do you or any member of your household own an Apple product (iPhone, iPod, iPad, or Mac computer)?” Of the 50 respondents, 20 said yes and 30 said no. If the population proportion is 0.45, determine the standard error of the proportion.

0.0704

300

#3 The United States Population average heart rates for all 50-year-old women is 120. The standard deviation is 7.8. One woman is randomly selected from the normally distributed population. What heart rate represents the middle 68% of the distribution?

127.72 and 112.28

400

#20 A survey reports that 60% of plants (p=0.60) grow faster with a new soil that has been tested in a lab. If a sample of 9 plants is taken, what is the probability that 4 or more will grow faster? [Probability (x >= 4)]

0.9006

400

#16 A survey reports that 40% of students (p=0.40) want to change their majors. If a sample of 14 students is taken, what is the probability that exactly 6 will report that they want to change their major?

0.2066

400

#12 Find the relative frequency in the frequency distribution table:

  • 0.1875
  • 0.3125
  • 0.125
  • 0.125
  • 0.25
400

#8 Find the cumulative frequency and the cumulative relative frequency in the frequency distribution table:

yay

400

#4 36% of former college students have student debt. If 12 former college students are selected, find the probability that between 3 and 7 of them have student debt?

0.8344