Homeowrk 7 Solution

Homeowrk 7 Solution - HW7 1. A study was conducted of 90...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: HW7 1. A study was conducted of 90 adult male patients following a new treatment for congestive heart failure. One of the variables measured on the patients was the increase in exercise capacity (in minutes) over a 4-week treatment period. The previous treatment regime had produced an average increase of μ = 2 minutes. The researchers wanted to evaluate whether the new treatment had increased the value of μ in comparison to the previous treatment. The data yielded x =2.17 and s=1.05. Using α =.05, what conclusion can you draw about the research hypothesis? (Conduct the hypothesis test.) 90; 2; 2.17; 1.05; .05 1) : 2 : 2 2) ( 30, , ) 2.17 2 1.535 / 1.05 / 90 3) ( .05) a n x s Hypotheses H versus H Test Statistic n no assumption of normality of population unknown Case II x z s n Rejection Region Z z Z z α α μ α μ μ σ μ α = = = = = = ≥ =-- ∴ = = = = ≥ = ≥ .05 1.645 4) 1.535 (1.535 1.645), .05. z Conclusion The computed value z does not fall in the rejection region so H cannot be rejected at significance level The data does not give strong support to the claim that the new treatment had i = = = < ∴ . ncreased the value of in comparison to the previous treatment μ 2. Set up the rejection region based on t for the following conditions with α =.05: (a) : : , 15 a H versus H n μ μ μ μ = < = , 1 .05,14 15; .05 : 1.761 1.761 n n Rejection Region T t t T α α- = = ≤ - = - = - ∴ ≤ - (b) : : , 23 a H versus H n μ μ μ μ = ≠ = /2, 1 /2, 1 .025,22 .025,22 23; .05 : 2.074 2.074 n n n Rejection Region T t or T t T t or T t T or T α α α-- = = ≤ - ≥ ≤ - ≥ ∴ ≤ - ≥ (c) : : , 6 a H versus H n μ μ μ μ = = , 1 .05,5 6; .05 : 2.015 2.015 n n Rejection Region...
View Full Document

This note was uploaded on 03/28/2011 for the course AMS 110 taught by Professor N/a during the Spring '08 term at SUNY Stony Brook.

Page1 / 6

Homeowrk 7 Solution - HW7 1. A study was conducted of 90...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online