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 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

H0:

μ1=μ2

H1:

μ1≠μ2

H0:

μ1>μ2

H1:

μ1=μ2

H0:

μ1=μ2

H1:

μ1>μ2

H0:

μ1≠μ2

H1:

μ1=μ2

H0:

μ1<μ2

H1:

μ1=μ2

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

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<enter your response here.

(Round to one decimal place as needed.)

c. Does exposure to lead appear to have an effect on IQ scores?

▼

No,

Yes,

since

enter your response here

▼

is not

contained within the confidence interval, it

▼

does not appear

appears

that exposure to lead has an effect on IQ scores.

(Type an integer or a decimal. Do not round.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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