Question

Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion about the null hypothesis, and final conclusion that addresses the original claim(Don’t just say Reject the null hypothesis or fail to reject the null hypothesis). If you used the calculator, identify everything mentioned above in addition to which calculator functions and inputs for each field were used.

As part of the National Heath and Nutrition Examination Survey, the Department of Heath and Human Services obtained self reported heights and measured the heights for males aged 12-16. All measurements are in inches. Is there a difference between the reported height vs. the measured height?

Reported Height	68	71	63	71	71	60	65	64	54	63	66	72
Measured Height	67.9	69.9	64.9	68.3	70.3	60.6	64.5	67.0	55.6	74.2	65.0	70.8
Difference

Answer 1

H0: =0 That is there is no difference between reported height and  the measured height .

H1: That is there is a difference between reported height and  the measured height. ( Two tailed test)

level of significance =0.05

df= 12-1 =11

test statistics t =

-0.882011355

p -value = 0.3966

t Critical two-tail

2.20098516

Conclusion :

p -value( 0.3966) > 0.05

or

test statistics t < t Critical two-tail

so

Fail to rejcet H0 or fail to reject that That is there is no difference between reported height and  the measured height .

So we conclude that there is no difference between reported height and  the measured height .

that is both height are same