1.In conducting a two-tailed hypothesisz

-test, the test statistic was determined to be z=1.74.

For which of the following values of

is the result statistically significant (that is, for which

shouldH0 be rejected)?

Select all that apply:

• =0.020
• =0.010
• =0.100
• =0.200
• =0.050
• None of the above

2.In conducting the hypothesis test below, your sample consists of 16 observations, with a mean of 17.1 and standard deviation of 1.42.

H0:17.7

H1:<17.7

a) This is aSelect an answer

no-way test.

left-tailed test.

two-tailed test.

right-tailed test.

none of the above

b) Calculate the test statistic, rounded to 3 decimal places.

t=

c) At=0.1, the rejection region is

• t<-1.341
• t>1.341
• t<-1.753ort>1.753
• none of the above

d) The decision is to

• fail to rejectH0 since the test statistic does not fall in the rejection region.
• rejectH1since the test statistic falls in the rejection region.
• rejectH0since the test statistic falls in the rejection region.
• fail to rejectH1since the test statistic does not fall in the rejection region.
• none of the above

3.

The manufacturer of a particular brand of tires claims they average at least 82,000 km before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 13,100 km.

A survey of tire owners was conducted to determine if the mileage of the tires is lower than 82,000 km. From the 33 tires sampled, the mean lifespan was 78,500 km. Testing at= 2%, can we prove that the data is inconsistent with the manufacturers claim?

a)We should use a? test

t

z

b)What are the correct hypotheses?

H0 and H1

Select an answer

s

p

x

s

p

?

<

>

=

Based on the hypotheses, find the following (round correct to at least 2 decimal places):

c)Test Statistic =

d) Critical Value =(note the direction ofH1)

e)The correct decision is toselect an answer

Accept the alternative hypothesis

Accept the null hypothesis

Fail to reject the null hypothesis

Reject the null hypothesis

f)The correct conclusion would be:

• There is enough evidence to conclude that the tires last less than the kilometres claimed
• There is not enough evidence to conclude that the tires do not last less than the kilometres claimed
• There is enough evidence to conclude that the tires do not last less than the kilometres claimed
• There is not enough evidence to conclude that the tires last less than the kilometres claimed

4.Business students taking statistics at Colonel Samuel College believe that the mean score on a first statistics test is at most 73. An instructor, intending to prove that the mean score is higher, randomly samples 12 statistics students and obtains the following scores:

73.5 63.9 75.6 69.2 96 66.5

96 73.5 64.3 63.9 73.5 85.5

Test grades are believed to be normally distributed.

Use a significance level of 10%.

a)Select the appropriate alternative hypothesis,H1 or Ha:

b)Calculate the sample mean:

c)Calculate the estimated standard error of the sample mean:

d)Calculate the test statistic:t=

e)State the critical value:

f) Decision:

• Reject the null hypothesis.
• Fail to reject the null hypothesis.

5.The mean age when smokers first start is 13 years old with a population standard deviationof 2 years. A researcher claims that smoking age has significantlychangedsince the invention of ENDSelectronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. Thesample of 38 smokers found that their mean starting age was 13.4 years old. Do the data support the claim at the 8% significance level?

a)What are the correct hypotheses?

H0:

H1:

b)Based on the hypotheses, find the following:

Test Statistic z =(Give answer to 2 decimal places)

Critical Values =(Give answer to 2 decimal places)

c)Based on the above, we choose toSelect an answer

Reject the null hypothesis

Accept the null hypothesis

Accept the alternative hypotheis

Fail to reject the null hypothesis

d)The correct summary would be:Select an answer

There is not enough evidence to reject the claim

There is enough evidence to reject the claim

There is enough evidence to support the claim

There is not enough evidence to support the claim

that the mean age smokers first start is different from 13.

6.You are conducting a study to test a claim that the mean income of regular casino visitors is significantlyless than$100,000. A randomsample of 24 regular casino visitors had a mean income of $96,388. Do the sample data provide convincing evidence to support the claim? Assume is known to be $19,000. Conduct a hypothesis test using a 5% level of significance.Give numeric answers to at least 2 decimal places.

a)What are the correct hypotheses? (Select the correct symbols and value)

H0:

H1:

b)Based on the hypotheses, find the following:

Test Statistic =

Critical-value=

c)The correct decision is toSelect an answer

Fail to reject the null hypothesis

Reject the null hypothesis

Accept the null hypothesis

Accept the alternative hypotheis

d)he correct conclusion would be:

Select an answer

There is enough evidence to support the claim

There is not enough evidence to reject the claim

There is not enough evidence to support the claim

There is enough evidence to reject the claim

that the mean income of regular casino visitors is significantlyless than$100,000

7.esting:

H0:23.3

H1:<23.3

Your sample consists of 35 values, with a sample mean of 22.9. Suppose the population standard deviation is known to be 4.69.

a) Calculate the value of the test statistic, rounded to 2 decimal places.

z=

b) At=0.02, the rejection region is

c)The decision is to

• Reject the null hypothesis
• Accept the null hypothesis
• Accept the alternative hypothesis
• Fail to reject the null hypothesis

d)Suppose you mistakenly failed to reject the null hypothesis in this problem, what type of error is that?

• Type II
• Type I

8.

A hypothesis test was conducted to investigate whether the population mean age of college students at Osler city is higher than 23.

a) This is a

• left-tailed test.
• two-tailed test.
• right-tailed test.
• half-way test.