According to a government study among adults in the 25- to 34-year age group, th

Question

According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,896. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $596. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.)

a) What percent of the adults spend more than $2,350 per year on reading and entertainment?

b) What percent spend between $2,350 and $2,800 per year on reading and entertainment?

c) What percent spend less than $1,150 per year on reading and entertainment?

2 a)

iven the following hypotheses:

H0: 12

H1: > 12

A random sample of 10 observations is selected from a normal population. The sample mean was 15 and the sample standard deviation 5.0. Using the 0.01 significance level:

State the decision rule. (Round your answer to 3 decimal places.)

Compute the value of the test statistic. (Negative answers should be indicated by a minus sign. Round your answer to 3 decimal places.)

What is your decision regarding the null hypothesis?

__________H0. There is______________ evidence to conclude that the population mean is greater than 12.

Explanation / Answer

SOlution2:

State the decision rule.

alpha=level of significance=0.01

if p<0.01 reject Null hypothesis

if p>0.01 fail to reject null hypothesis

Compute the value of the test statistic.

t=xbar-mu/sd/sqrt(n)

=15-12/5/sqrt(10)

=1.897

t=1.897

What is your decision regarding the null hypothesis?

degrees of freedom=n-1=10-1=9

alpha=0.01

p value=0.04516

p>0.01

Fail to Reject Null Hypothesis

Accept H0.there is no sufficient evidence to conclude that the population mean is greater than 12.

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