Answered: Medium Lead Level High Lead Level 72 n₂…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 28E

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Question

Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.

a. The test statistic, t, is

(Round to two decimal places as needed.)

b. The P-value is

(Round to three decimal places as needed.)

c. Construct a confidence interval suitable for testing the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels.

less thanmu 1 minus mu 2 less than

(Round to three decimal places as needed.)

IQ Scores
Medium Lead Level High Lead Level
72
n₂ = 11
99
92
X2 = 89.615
85
84
S2 = 10.573
97
83
92
104
111
91

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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Medium Lead Level High Lead Level 72 n₂ = 11 99 92 X₂ = 89.615 S2 = 10.573 85 84 97 83 92 104 111 91