The following table shows the daily calories intake for two groups of samples who said they normally do not eat fast food and usually eat fast food: eat fast food sample size sample mean sample standard deviation
No 663 2258 1519
Yes 413 2637 1138

We are interested in exploring whether this data provide strong evidence for concluding that average calorie intake for people who eat fast food is larger than the those who do not usually eat fast food.

Required:
a. What are the null hypothesis and alternative hypothesis?
b. Use central limit theorem to find the p-value and make a decision based on α = 0.05 significance level.
c. Use Welch’s t test to find the p-value and make a decision based on α = 0.05 significance level. (Use R to help you find the p-value for this problem).

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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