chapter 7.5

1.Find the criticalvalue(s) and rejectionregion(s) for aright-tailed chi-square test with a sample size n=16 and level of significance =0.10.

Find the criticalvalue(s).

2.Find the criticalvalue(s) and rejectionregion(s) for aleft-tailed chi-square test with a sample size n=13 and level of significance =0.05.

Find the criticalvalue(s).

3.Find the criticalvalue(s) and rejectionregion(s) for atwo-tailed chi-square test with a sample size n=19 and level of significance =0.05.

Find the criticalvalue(s).

4.Test the claim about the population variance 2 at the level of significance . Assume the population is normally distributed.

Claim: 215.9; =0.10

Samplestatistics: s2= 29.65, n= 51

Write the null and alternative hypotheses.

5.Use a 0.05 significance level to test the claim that peanut candies have weights that vary more than plain candies. The standard deviation for the weights of plain candies is 0.152. A sample of 41 peanut candies has weights with a standard deviation of 0.34. Assume the population is normally distributed.

(a) Write the claim mathematically and identify H0 and Ha.

A.

H0:0.152 (Claim); Ha:<0.152

B.

H0:=0.152; Ha:0.152 (Claim)

C.

H0:0.152; Ha:>0.152 (Claim)

6.A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than 0.5 minutes. A random sample of 29 waiting times has a standard deviation of 0.8 minutes. At =0.10, is there enough evidence to reject thespokesperson's claim? Assume the population is normally distributed. Complete parts(a) through(e) below.

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(a) Write the claim mathematically and identify H0 and Ha.

A.

H0:0.5 (Claim); Ha:>0.5

B.

H0:0.5; Ha:<0.5 (Claim)

C.

H0:<0.5 (Claim); Ha0.5

D.

H0:=0.5; Ha:0.5 (Claim)