Chapter 10, Problem 10.79CRP

What are the variables for the study and classify each as categorical or numerical?

Do women and men differ in how they perceive their life expectancy? A researcher asked a sample of men and women to indicate their life expectancy. This was compared with values from actuarial tables, and the relative percent difference was computed; perceived life expectancy minus life expectancy from actuarial tables was divided by life expectancy from actuarial tables and converted to a percent. The relative percent differences for all men and women over the age of 7070 in the sample are given. Men −28−28 −23−23 −20−20 −19−19 −14−14 −13−13   Women −20−20 −19−19 −15−15 −12−12 −10−10 −8−8 −5−5 The given data shows output for the two‑sample ?t test using Option 1. This output is from CrunchIt! software, which does Option 1 without rounding or truncating the degrees of freedom.   Do men and women over 70 years old differ in their perceptions of life expectancy? There is somewhat strong evidence that men and women differ in their views on their own longevity; we would reject ?0H0…

Please answer all sub-parts   According to the manufacturer of M&Ms, 12% of peanut M&Ms in a bag should be brown, 15% yellow, 12% red, 23% blue, 23% orange, and 15% green.  A student randomly selects a bag of peanut M&Ms. For the 400 M&Ms in the bag, the the number of M&Ms that were of each color is in the table below.  At the ? = 0.05 level, does the data support the manufacturer's claim for the distribution of colors of peanut M&Ms? (Note: We did not give the Expected Counts, you will need to compute them yourself.) Color Frequency Brown 53 Yellow 66 Red 38 Blue 96 Orange 88 Green 59 Complete the hypothesis test: a)  State the null and alternative hypotheses: H0 and H1 b) Compute the ?2 statistic c) Give the critical ?2 value (from Table VIII). d) State the conclusion