(b) Is there a significant difference in the average testosterone levels between obese and health weight adolescents? To answer this question, conduct an appropriate hypothesis test using the p-value method and a significance level of 5%. What can you conclude about these two groups of adolescents?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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please send complete handwritten solution for Q6 part b

6.
unknown whether this same pattern occurs in adolescents. A study was conducted that measured testosterone
(in nmol/litres) in two independent random samples. The first sample included 10 obese adolescents, while
the second sample included 6 adolescents with a healthy weight.
Research has shown that obese adult males have lower levels of testosterone. However, it is
Testosterone levels
Obese Adolescents (n=10)
Healthy Weight Adolescents
(n=6)
0.04
0.16
0.36
0.10
0.31
0.60
0.30
0.31
0.60
0.20
0.19
0.94
0.10
0.73
0.94
0.39
Mean: 0.2550
Variance: 0.0061
Mean: 0.5483
Variance: 0.1389
(a) Based on this sample information, does it appear that the population variances are equal or unequal?
Explain.
(b) Is there a significant difference in the average testosterone levels between obese and health weight
adolescents? To answer this question, conduct an appropriate hypothesis test using the p-value method and a
significance level of 5%. What can you conclude about these two groups of adolescents?
(c) What assumption must be true for the result in part (b) to be valid?
Transcribed Image Text:6. unknown whether this same pattern occurs in adolescents. A study was conducted that measured testosterone (in nmol/litres) in two independent random samples. The first sample included 10 obese adolescents, while the second sample included 6 adolescents with a healthy weight. Research has shown that obese adult males have lower levels of testosterone. However, it is Testosterone levels Obese Adolescents (n=10) Healthy Weight Adolescents (n=6) 0.04 0.16 0.36 0.10 0.31 0.60 0.30 0.31 0.60 0.20 0.19 0.94 0.10 0.73 0.94 0.39 Mean: 0.2550 Variance: 0.0061 Mean: 0.5483 Variance: 0.1389 (a) Based on this sample information, does it appear that the population variances are equal or unequal? Explain. (b) Is there a significant difference in the average testosterone levels between obese and health weight adolescents? To answer this question, conduct an appropriate hypothesis test using the p-value method and a significance level of 5%. What can you conclude about these two groups of adolescents? (c) What assumption must be true for the result in part (b) to be valid?
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