The following data sets represent simple random samples from a population whose mean is 100. Complete parts (a) through (e) below Data Set I 106 Data Set Il 106 87 96 Data Set III 106 87 96 104 120 120 90 84 120 90 84 82 92 92 112 83 92 112 83 88 126 126 89 99 126 89 99 103 90 90 112 90 112 91 89 75 75 113 75 113 108 114 74 74 99 74 99 115 Full data set D 107 107 123 107 123 94 The lower bound is 91.62 The upper bound is 106.08 (Round to two decimal places as needed.) Construct a 95% confidence interval for data set III. The lower bound is 93.58 The upper bound is 104.09 (Round to two decimal places as needed) (c) What impact does the sample size n have on the width of the interval? A. As the sample size increases, the width of the interval increases. B. The sample size has no impact on the width of the interval c. As the sample size increases, the width of the interval decreases (d) Suppose that the data value 106 was accidentally recorded as 061. For each data set, construct a 95% confidence interval using the misentered data. Construct a 95% confidence interval for data set I The lower bound is 73.82 The upper bound is 112.43 (Round to two decimal places as needed.) Construct a 95% confidence interval for data set II. The lower bound is The upper bound is (Round to two decimal places as needed)

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solve last part of D)

The following data sets represent simple random samples from a population whose mean is 100.
Complete parts (a) through (e) below.
Data Set I
106
Data Set II
106
87
96
Data Set III
106
87
96
104
120
120
90
84
120
90
84
82
92
92
112
83
92
112
83
88
126
126
89
99
126
89
99
103
90
90
112
90
112
91
89
75
75
113
75
113
108
114
74
74
99
74
99
115
Full data set
107
107
123
107
123
94
The lower bound is 91.62
The upper bound is 106.08
(Round to two decimal places as needed.)
Construct a 95% confidence interval for data set III.
The lower bound is 93.58
The upper bound is 104.09
(Round to two decimal places as needed.)
(c) What impact does the sample size n have on the width of the interval?
A. As the sample size increases, the width of the interval increases.
B. The sample size has no impact on the width of the interval
c. As the sample size increases, the width of the interval decreases.
(d) Suppose that the data value 106 was accidentally recorded as 061. For each
data set, construct a 95% confidence interval using the misentered data.
Construct a 95% confidence interval for data set I.
The lower bound is 73.82
The upper bound is 112.43
(Round to two decimal places as needed.)
Construct a 95% confidence interval for data set II
The lower bound is
The upper bound is
(Round to two decimal places as needed.)
Transcribed Image Text:The following data sets represent simple random samples from a population whose mean is 100. Complete parts (a) through (e) below. Data Set I 106 Data Set II 106 87 96 Data Set III 106 87 96 104 120 120 90 84 120 90 84 82 92 92 112 83 92 112 83 88 126 126 89 99 126 89 99 103 90 90 112 90 112 91 89 75 75 113 75 113 108 114 74 74 99 74 99 115 Full data set 107 107 123 107 123 94 The lower bound is 91.62 The upper bound is 106.08 (Round to two decimal places as needed.) Construct a 95% confidence interval for data set III. The lower bound is 93.58 The upper bound is 104.09 (Round to two decimal places as needed.) (c) What impact does the sample size n have on the width of the interval? A. As the sample size increases, the width of the interval increases. B. The sample size has no impact on the width of the interval c. As the sample size increases, the width of the interval decreases. (d) Suppose that the data value 106 was accidentally recorded as 061. For each data set, construct a 95% confidence interval using the misentered data. Construct a 95% confidence interval for data set I. The lower bound is 73.82 The upper bound is 112.43 (Round to two decimal places as needed.) Construct a 95% confidence interval for data set II The lower bound is The upper bound is (Round to two decimal places as needed.)
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