Stat Quiz 8A 1) A researcher suggests that male nurses earn more money than female nurses. A survey of 16 male and 20 female nurses reported the data below. Is there enough evidence, at Alpha = .01,...

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Answered Same DayDec 20, 2021

Answer To: Stat Quiz 8A 1) A researcher suggests that male nurses earn more money than female nurses. A survey...

Robert answered on Dec 20 2021
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Stat Assignment 8A
1) A researcher suggests that male nurses earn more money than female nurses. A survey of 16 male and 20 female n
urses reported the data below. Is there enough evidence, at Alpha = .01, to support the claim that male nurses earn more money?
Solution:
Null Hypothesis (Ho): µ1 ≤ µ2
Alternative Hypothesis (Ha): µ1 > µ2
Pooled standard deviation, Sp = √ (n1 – 1) s1² + (n2 – 1) s²/ (n1 + n2 – 2)
= √ (15 x 500² + 19 x 250²)/ (16 + 20 – 2)
= 381.08
Test Statistics
t = (X-bar1 – X-bar2)/ Sp √1/n1 + 1/n2
= (24800 – 23750)/ 381.08 √1/16 + 1/20
= 8.21
Degrees of freedom, df = n1 + n2 – 2 = 16 + 20 – 2 = 34
Using t-tables, the critical value is
t (0.01/2, 34) = 2.441
Since test statistics is greater than the critical value, we reject the null hypothesis.
There is sufficient evidence to support the claim that male nurse earn more money
2) A company reported that an insured woman’s average stay in the hospital for normal childbirth is 2.3 days, while an uninsured woman’s average stay is 1.9 days. Both samples were of 16 women and the standard deviation for each was 0.6. At Alpha = .01, test the claim that the means are equal. Then calculate the 99% confidence interval for the difference of the means.
Solution:
Null Hypothesis...
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