Question

Please answer all questions below:

1.)

Claim: Carzz Magazine claims that the Civic Hybrid gets exactly 38 mpg on the highway.

A random sample of 49 revealed a mean of 38.99 mpg. Use the traditional method at a 12% significance level to test the claim assuming a known population standard deviation of 3.42.

Critical z-Score =
	[three decimal accuracy]
Test Statistic =
	[three decimal accuracy]

2.)

Claim: The average career length for an NFL kicker is less than 4.8 years.

A random sample of 56 revealed a mean of 4.64 years. Use the p-value method at a 5% significance level to test the claim assuming a known population standard deviation of 0.58.

=
	[three decimal accuracy]
p-value =
	[three decimal accuracy]

3.)

Claim: The average amount of money lost by a casino patron is $250.

A random sample of 57 revealed a mean of 256.6 dollars. Use the p-value method at a 3% significance level to test the claim assuming a known population standard deviation of 30.

=
	[three decimal accuracy]
p-value =
	[three decimal accuracy]

Answer 1

1)

null hypothesis:Ho Alternate Hypothesis:Ha 38 38 for 0.12 level with two tailed test, critical value of Decision rule: 1.555 reject Ho if absolute value of test statistic z| >1.555 population mean sample mean sample size population std deviation μέ x= n= 38 38.99 49 3.42 standard errror of means σ,-σ//ns 0.4886 test statistic z-(x-μ)/σ,- 2.026

Critical z-Score = -/+ 1.555 test statisitc =2.026

2)

=0.05

p value =0.019

3)

=0.03

p value =0.097