Solved by verified expert:I need help answering 7 statistics questions. All work must be shown of full credit to be received. Would like to have it completed by Saturday, if possible. Thanks!
stat_quiz.docx
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1) (4 points) The following are the temperatures (in degrees Fahrenheit) for a 35-day period:
72, 78, 86, 93, 106, 107, 98, 82, 81, 77, 87, 82, 91, 95, 92, 83, 76, 78, 73, 81, 86, 92, 93,
84, 107, 99, 94, 86, 81, 77, 73, 76, 80, 88, and 91.
Prepare a Frequency Distribution Table of the temperatures with a class width of 5
degrees.
2) (4 points) Construct the histogram of the frequency distribution shown in problem 1.
3) (4 points) Find the median of the data set in Problem 1 above:
4) (10 points) True or false. Justify your answer for full credit. (2 points each)
a. The maximum value of the data set in problem 3 above is 107. If the analyst
makes one mistake only and record it as 10.7, then the mistake will change the
mean and the median of the data set.
b. If the variance of a data set is zero, then all observations must also be zero.
c. The standard deviation of a data set cannot be negative
d. The variance of a data set is always positive.
e. The following graph have a negative correlation:
5) (10 points) The owner of a small company has 15 employees. Five employees earn
$25,000 per year, seven earn $30,000 per year, three earn $40,000 per year, and the
owner´s annual salary is $153,000.
a. Find the mean and median salaries of all 16 persons in the company.
b. Find the mean and median salaries if the owner´s salary is increased by $80,000
6) (3 points) Is the salary data in problem 5 above a sample or a population? Justify your
answer for full credit.
7) (5 points) The following boxplot represents the earnings of a group of professionals (in
1000 dollars). Which earning band has more professionals?
(a) 40 and 60
(b) 60 and 80
(c) 90 and 100
(d) cannot be determined
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