Question

Height: 62, 67, 62, 63, 67, 74, 63, 73, 63

Weight: 130, 140, 102, 140, 145, 157, 130, 190, 135

3. (CLO 2) Test a claim that the mean height of people you know is not equal to 64 inches using the p-value method or the traditional method by completing the following:

a. State H0 and H1.

b. Find the p value or critical value(s).

c. Draw a conclusion in context of the situation.

4. (CLO 3) Create a scatterplot with the height on the x-axis and the weight on the y-axis. Find the correlation coefficient between the height and the weight. What does the correlation coefficient tell you about your data? Construct the equation of the regression line and use it to predict the weight of a person who is 68 inches tall.

5. Write a paragraph or two about what you have learned from this process. When you read, see, or hear a statistic in the future, what skills will you apply to know whether you can trust the result?

Answer 1

Solution-3

a. State H0 and H1.

Ho:mu=64

H1 mu not = 64

alpha=0.05

For the given sample

sample mean height=66

sample stddev=s= 4.66369

sample size=n=9

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

=(66-64)/(4.66369/sqrt(9))

=1.286535

t statisitc,t=1.286535

df=n-1=9-1=8

. Find the p value or critical value(s).

p value in excel

=T.DIST.2T(1.286535,8)

=0.2342

p-value=0.2342

p>0.05

Do not reject Ho

Accept Ho

c. Draw a conclusion in context of the situatiom

There is no suffcient statistical evidence at 5% level of signficance to conlcude that the mean height of people you know is not equal to 64 inches