Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit

STA 2023

Written Homework #1

This assignment is due at 11:59 pm (Beijing time) on the date listed on Moodle but you should work on it

throughout the week as you finish each Section (the questions are labeled by Section number). Write all work on separate paper,scan, and submit the assignment to Moodle. Be sure to show all steps for full credit.

1. Sections 1.2 & 1.3

In each of the following, identify the level of measurement of the sample (nominal, ordinal, interval, or ratio) and the type of sampling used to obtain the data (random, systematic, convenience, stratified, cluster).

(a) At Albany Medical Center, every 10th  newborn baby is selected and the body temperature is measured (⁰F).

(b) In each of the 50 states, 50 voters are randomly selected and their political party affiliations are identified.

(c) A pollster stops each person passing her office door and asks the person to rate the last movie that he or she saw (on a scale of 1 to 4 stars).

2. Sections 2.1 & 2.2

This problem should be done by hand (and not with StatCrunch). You may use StatCrunch to check your work though!

The following data represent the daily high temperatures (in degrees Fahrenheit) for the month of June in a

California town. Create a relative frequency distribution. Use eight classes with a width of 5 degrees where the lower limit of the first class is 70 degrees.

79

84

88

96

102

104

99

97

92

94

85

92

100

99

101

104

97

108

106

106

90

82

74

72

83

107

98

102

97

94

Use the frequency distribution you created to draw a histogram to represent the data. Does the data appear to be skewed?

3. Section 2.4

Use StatCrunch to construct a scatterplot from the sample data below. Based on the scatterplot, what can you conclude about the correlation? Include the graph you obtained in your submission.

Height of Father (in.)

73.0

75.5

75.0

75.0

75.0

74.0

73.0

73.0

73.0

78.5

Height of Son (in.)

74.0

73.5

71.0

70.5

72.0

76.5

74.0

71.0

72.0

73.2

4. Section 3.1

Find the mean of the data summarized in the frequency distribution below:

Age of Best Actor

Frequency

20-29

1

30-39

28

40-49

36

50-59

15

60-69

6

70-79

1

5. Section 3.1

A sample of four Verizon data speeds is listed below. Find the mean, median, mode, and midrange of the sample.

13.5

10.2

21.1

15.1

Suppose a researcher added a fifth value of 142 (meaning to enter 14.2 but making a typo). Now find the mean, median, mode, and midrange.

13.5

10.2

21.1

15.1

142

How much were the different measures of center affected by the outlier?