TOM302 HW ch10

TOM302 HW ch10 - TOM302. HW ch10. 10.96 STEP1 H 0 : µ ≥...

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: TOM302. HW ch10. 10.96 STEP1 H 0 : µ ≥ 800, H 1 : µ < 800 STEP 2 Level of significance: α = 0.05 Step3 Type of test: t test Step4 For this test, α = 0.05 and d.f. = (n - 1) =(30 - 1) = 29. Referring to the 0.05/2 = 0.025 column and the 29throw of the t table, the critical values are t = -2.045 and t = 2.045 Step5 Decision Rule: Reject the null if computed t > = 2.045 OR < = -2.045, otherwise accept (fail to reject) the null. Step6 − x = 805, s = 12, n = 30 805 − 800 t= = 2.283 12 30 Step7 Statistical Decision: Calculated test statistic falls in nonrejection region, do not reject(accept) H0. Step8 At the 0.05 level, the results do not cause us to doubt that the superintendent’s complaint justified 800 watts. 10.101 Step1 H 0 : π = 0.3, H 1 : π ≠ 0.30 Step2 Level of significance: α = 0.05 Step3 Type of test: z test Step4 Z=-1.96 and z=1.96 Step5 P=0.35, n=400 z= 0.35 − 0.30 0.30(1 − 0.3) / 400 = 2.18 Step6 Reject H0 IF THE Z<-1.96 OR Z>1.96, otherwise do not reject. Step7 Reject H0 Step8 At the 0.05 level, the proportion of emergency treatment is not 0.30 Step9 For two-tail test, the p-value is 0.029 10.103 Step1 H 0 : π ≤ 0.10, H 1 : π > 0.10 Step2 Level of significance: α = 0.05 Step3 Type of test: z test Step4 Z=1.645 Step5 P=12/100=0.14, n=100 z= 0.14 − 0.10 0.10(1 − 0.10) / 100 = 1.33 Step6 Reject H0 if the or z>1.645, otherwise do not reject. Step7 Do not reject H0 Step8 At the 0.05 level, the results do not cause us to doubt the exterminator’s statement. Step9 For right-tail test, the p-value is 0.091 ...
View Full Document

Page1 / 3

TOM302 HW ch10 - TOM302. HW ch10. 10.96 STEP1 H 0 : µ ≥...

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