Create a Hypothesis Test and Confidence Interval Estimate for Paired Data

Using methods from Section 10.4, test ONE claim about the mean difference of a population. Below are some examples if you need an idea:

(Include at least 12 pairs of data)

• A healthy person's average body temperature is warmer in the morning than in the evening.
• The mean number of apps on a wife's phone is greater than the mean number of apps on her husband's phone.
• The mean pinkie length of people's left hand is shorter than their right hand.
• The average number of pets a person has is greater than the average number of children they have.
• A person's height is shorter than their wingspan (middle finger-tip to middle finger-tip when arms are stretched out wide).

On your paper be sure to include:

-yourwritten claim,

-organizeddata values (at least 12 pairs),

-hypothesis, state both hypothesis symbolically and in words

-relevantstatistics (such as sample mean difference and standard deviation and pair size),

-test statistic labeled with appropriate distribution letter (z or t)

-p-value with supporting graph shaded in,

-conclusion, do you reject or fail to reject H0 and why?

-interpretationof your conclusion in the context of your claim.

-95% confidence interval estimate with at least one writteninterpretationrelated to the context of your claim.

It is imperative that you use paired data for this assignment. If your data does not come from a paired sample, you will not receive full credit. Please contact me if you need help constructing your paired sample.

here is an example of the assignment

Test [P-value Method}: Test statistic t = 3.33 Pvalue {1.0013 P-uolue Conclusion: Since the pvalue is less I than the signicance level we REJECT l the null hypothesis. tl-l' I''t slot Interpretation: There is sufcient evidence to support the claim that a student's pulse rate increases while taking a quiz. 95% condence interval estimate: 8.35 a: pd c 2. 31 Interpretation: We are 95% condent the mean difference in students pulse rate from before to after taking a quiz is between 8.35 and 2.31 beats per minute. Since this interval contains only negative values, there is sufcient evidence to support the claim that a students pulse rate increases while taking a quiz. Hypothesis: A student's pulse rate before taking a quiz is lower than after taking a quiz. H : U. = 0'before quiz pulse rate is NOT less than after quiz pulse rate" H: u,