The accompanying data lists the full IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood. The statistics are summarized in the accompanying table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be subjects with low lead levels in their blood. Complete parts (a) through (c) below. LEAD is blood level group [1 low lead level (blood lead levels in both of the two years measured), 3 high lead level (blood lead level in both of two years measured)]. IQ is measured full IQ score. = < 40 micrograms / 100 mL = ≥ 40 micrograms / 100 mL LEAD IQ 1 72 1 85 1 87 1 76 1 82 1 95 1 96 1 56 1 112 1 97 1 78 1 130 1 100 1 78 1 118 1 86 1 139 1 90 1 94 1 98 1 104 1 84 1 79 1 105 1 104 1 90 1 127 1 96 1 100 1 101 1 114 1 105 1 105 1 98 1 50 1 101 1 84 1 86 1 123 1 92 1 85 1 100 1 76 1 102 1 105 1 87 1 96 1 89 1 80 1 110 1 106 11/1/21, 3:08 PM Full IQ Score Data https://www.mathxl.com/Student/PlayerTest.aspx?testId=230138680 2/2 1 85 1 94 1 76 1 72 1 76 1 106 1 89 1 87 1 95 1 73 1 96 1 76 1 109 1 102 1 83 1 74 1 94 1 84 1 88 1 75 1 96 1 103 1 105 1 105 1 79 1 74 1 94 3 83 3 91 3 87 3 74 3 83 3 82 3 99 3 91 3 81 3 93 3 87 3 107 3 87 3 86 3 85 3 101 3 98 3 77 3 79 3 81 3 75 Use a 0.01 significance level to test the claim that the mean IQ score of people with low blood lead levels is higher than the mean IQ score of people with high blood lead levels. Identify the null and alternative hypotheses. A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1>μ2 H1: μ1=μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1≠μ2 H1: μ1=μ2 E. H0: μ1<μ2 H1: μ1=μ2 F. H0: μ1=μ2 H1: μ1<μ2 The test statistic is enter your response here. (Round to two decimal places as needed.) The P-value is enter your response here. (Round to three decimal places as needed.) State the conclusion for the test. ▼ Reject Fail to reject the null hypothesis. There ▼ is not is sufficient evidence to support the claim that the mean IQ score of people with low blood lead levels is higher than the mean IQ score of people with high blood lead levels. b. Construct a confidence interval appropriate for the hypothesis test in part (a). The enter your response here% confidence interval estimate is enter your response here<μ1−μ2
The accompanying data lists the full IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood. The statistics are summarized in the accompanying table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be subjects with low lead levels in their blood. Complete parts (a) through (c) below.
LEAD is blood level group [1 low lead level (blood lead levels in both of the two years measured),
3 high lead level (blood lead level in both of two years measured)]. IQ is measured full IQ score.
= < 40 micrograms / 100 mL
= ≥ 40 micrograms / 100 mL
LEAD IQ
1 72
1 85
1 87
1 76
1 82
1 95
1 96
1 56
1 112
1 97
1 78
1 130
1 100
1 78
1 118
1 86
1 139
1 90
1 94
1 98
1 104
1 84
1 79
1 105
1 104
1 90
1 127
1 96
1 100
1 101
1 114
1 105
1 105
1 98
1 50
1 101
1 84
1 86
1 123
1 92
1 85
1 100
1 76
1 102
1 105
1 87
1 96
1 89
1 80
1 110
1 106
11/1/21, 3:08 PM Full IQ Score Data
https://www.mathxl.com/Student/PlayerTest.aspx?testId=230138680 2/2
1 85
1 94
1 76
1 72
1 76
1 106
1 89
1 87
1 95
1 73
1 96
1 76
1 109
1 102
1 83
1 74
1 94
1 84
1 88
1 75
1 96
1 103
1 105
1 105
1 79
1 74
1 94
3 83
3 91
3 87
3 74
3 83
3 82
3 99
3 91
3 81
3 93
3 87
3 107
3 87
3 86
3 85
3 101
3 98
3 77
3 79
3 81
3 75
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