Create a Hypothesis Test & Confidence Interval Estimate for Paired Data
Using methods from Section 10.4, test ONE claim about the mean difference of a population. Collect at least 15 pairs of data to analyze using a matched pairs hypothesis test.
Here are some examples if you need an idea…
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 submission be sure to include:
your written claim/hypothesis about the population
organized data values (at least 15 pairs)
hypotheses, state both hypotheses symbolically and in words
relevant statistics (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 distribution shaded in
conclusion, do you reject or fail to reject H0 and why?
interpretation of your conclusion in the context of your claim
95% confidence interval estimate with at least one written interpretation related 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.
