Problem 1. Use the following data set. The data set represents incomes (in thousands of dollars) of 20 employees at an engineering firm.
50, 48, 46, 59, 44, 43, 35, 59, 48, 53,
46, 59, 52, 48, 51, 59, 53, 51, 53, 52
(a) Find the range, mean, median, and mode of the data set.
(b) Make a frequency distribution for the data set using 5 classes. Include class midpoints, frequencies, and relative frequencies.
(c) Make a relative frequency histogram using the frequency distribution in (b).
(d) Determine which class has the greatest relative frequency and which has the least.

Problem 2. The table shows the results of a survey in which 622 men and 644 women ages 25 to 46
were asked if they like Coke or Pepsi.
Men Women Total
Likes Pepsi 325 284 609
Likes Coke 297 360 657
Total 622 644 1266
(a) Find the probability that a randomly selected person likes Pepsi.
(b) Given that a randomly selected person is male, find the probability that the person likes coke.
(c) Given that a randomly selected person likes Pepsi, find the probability that the worker is a female.
(d) Are the events "likes Coke" and "being male" independent or dependent? Explain.

Problem 4. Scores for a statistics exam are normally distributed, with a mean of 80 and a standard deviation of 10. Students scoring in the top 6% of the class are offered the opportunity to take an advanced statistics class. What is the lowest score you can earn and still be eligible to take the advance class?

Problem 5. You randomly select 20 supermarkets and measure the temperature of their coolers. The
sample mean temperature is 43:0 F with a sample standard deviation of 2:0. Find the 95% confidence interval for the mean temperature. Assume the temperatures are approximately normally distributed.

Solution Preview

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Problem 1:
(a) Range: max-min=59-35=24.
Mean: (35+43+44+...+59)/20=50.45
Median: (51+51)/2=51
Mode: 59 (appears most times, 4 times)

(b) (see attached)

Class Frequency Midpoint Relative frequency
35-39 1 37 0.05
40-44 2 42 0.1
45-49 5 ...

Solution Summary

The expert examines frequency distribution problem sets.

19. The data for the numbers of units produced by a production employee during the most recent 20 days are shown here.
160 170 181 156 176
148 198 179 162 150
162 156 179 178 151
157 154 179 148 156
Summarize the data by construction the following:
a. a frequencydistribution
b. a relat

Using Excel, please set these problems up in order to create the proper graphs.
Enter the following data into Microsoft Excel, and answer the questions.
1. Twenty employees of Bright Idea Lightbulb Company were asked if they approved or disapproved of the new floor manager. Below are their responses. Let A represent appro

Q2) The owner of a small business wants to analyze profits over the past 30 years. Profits (in thousands of dollars) were obtained for the 30-year period. The ranked data values are:
15 17 18 19 20 20 20 21 23 23 24 24
24 24 24 25 25 25 25 25 26 26 27 27
28 29 30 30 31 32
a. Complete the following grouped frequency d

Find P25 for the following data: 2 6 3 4 2 1 2 0 1 3 6 3
You are given the following frequencydistribution for the number of errors 10 students made in a test
Errors Frequency
0-2 14
3-5 13
6-8 11
9-11 8
12-14 9
Find: a. mean b. variance c. standard deviation.

Annual Salaries:
The frequencydistribution illustrates the annual salaries, in thousands of dollars, of the people in management positions at the X-Chek Corporation.
Salary (in $1000) Number of People
35-40 3
41-46 6
47-52

The following is a relative frequencydistribution of grades in an introductory statistics course.
Grade Relative Frequency
A 0.22
B 0.37
C 0.18
D 0.17
F 0.06
If this is the distribution of 200 students, find the frequency of failures:
=

Week 2 Problem Sets
2. a 9
b 31
c 119
4. 54-59
50-55
45-49
40-44
35-39
30-34
25-29
20-24
15-19
10-14
6. When we generate a large volume of data, we are unlikely to be able to make sense of it by looking at all the data. The largest amount o

Attached is a small data set. This is information that comes from a Mfg line at which I am an intern.
I have calculated the mean, std dev, min, and max for the 2 data sets. but I do not understand statistics well enough or the "Data Analysis" add-in in Excel.
I am being asked to put the 2 sets of data into "normal distribu

A podiatrist recorded the recovery times, measured in days, for 36 patients. He was trying out a new procedure and hoped that the recovery time would be less than the usual 6 days. The recorded time were:
8 7 6 9 4 5 3 7 8 10 7 7
6 4 10 3 6 8 2 5 4 5 3 8
7 4 6 3 7 12 4 3 6 6 9 4
a) Construct the frequencydistribution