Answer the question True or False. A rejection region is established in each tai

Question

Answer the question True or False.

A rejection region is established in each tail of the sampling distribution for a? two-tailed test.

True

False

A marketing research company is estimating the average total compensation of CEOs in the service industry. Data were randomly collected from 18 CEOs and the

9090?%

confidence interval for the mean was calculated to be

left parenthesis 2181260 comma 5836180 right parenthesis .(2181260,5836180).

Explain what the phrase

?"9090?%

?confident" means.

A.

9090?%

of the similarly constructed intervals would contain the value of the sample mean.

B.

9090?%

of the sample means from similar samples fall within the interval.

C.

9090?%

of the population values will fall within the interval.

D.

In repeated? sampling,

9090?%

of the intervals constructed would contain

mu?.

We have created a

9090?%

confidence interval for

mu?

with the result

?(1010?,

1515?).

What conclusion will we make if we test

Upper H 0 : mu equals 18 vs. Upper H Subscript a Baseline : mu not equals 18H0: ?=18 vs. Ha: ??18

at alpha equals 0.10 question mark?=0.10?

A.

Fail to reject

Upper H 0H0.

B.

Reject

Upper H 0H0

in favor of

Upper H Subscript aHa.

C.

Accept

Upper H 0H0

rather than

Upper H Subscript aHa.

D.

We cannot tell what our decision will be with the information given

Explanation / Answer

1. A rejection region is established in each tail of the sampling distribution for a? two-tailed test.

Answer:- True

because we find rejection region on right tail and left of the sampling distrinution.so in two tail test rejection region established in each tail of sampling distribution.

2.

A marketing research company is estimating the average total compensation of CEOs in the service industry. Data were randomly collected from 18 CEOs and the 90?% confidence interval for the mean was calculated to be (2181260,5836180).

Explain what the phrase

?"90?% confident" means.

Answer:-

D.In repeated? sampling,90?% of the intervals constructed would contain mu?.

Here mu is population average &

confidence interval is defined as , If repeated samples were taken and the 95% confidence interval was computed for each sample, 95% of the intervals would contain the population mean.

therefore ANSWER D IS CORRECT.

3.  

Answer:- B. Reject H0 in favor of Ha.

we reject Ho.

because in Ho: u=18

and our confidence interval is  (10?,15?) does not conain null hypothesis value( 18 ).

Therefore we rejcect Ho.

accept Ha.

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