1) An excercise scientist was testing whether the mean hours exercised per month was different between people who live in urban areas and rural areas. they sampled 25 people from urban and 25 people from rural areas and recorded the amount they exercised each month, they computed a difference of means of 4.2 hours and a 95% confidence interval for the difference of means to be (1.1,7.3). what should they conclude at a 5% significance level?

2) A sports performance coach is interested in using a new training program with their athletes. they selected a group of 40 athletes and has 20 of them use the new training program for 2 months. the athletes then compute a set of exercises and the coach records each athlete's time. the coach's plan is to compare the difference in time taken to complete the exercises for each group.

to analyze the data he should use:

A) the one-sample t-test

B) the two-sample t-test

C) one sample z test

D) the matched pairs t-test

3) A gastroenterologist randomly samples 614 people and 278 of them have some form of digestive issues. if they are going to compute a 98% confidence interval for the population proportion, what is the margin of error? round your answer to three decimal points

3) a recent report stated 52% of the residents in a given county are considered overweight. if a sample size of n= 890 was used, determine the mean of the sampling distribution p^. enter your answer as decimal and round to two decimal places.

4) A company institutes an exercise break for its workers to see if it will improve job satisfaction, as measured by the questionnair. scores for 9 randomly selected workers before and after the implementation of the exercise program are shown in the table below

they measured a x diff = -8.3333, Sdiff = 7.9057

assuming that the company believes that the score before should be smaller than the after score

calculate the test statistic. Round to two decimal places [ANS 1]

calculate the appropriate p-value. round to two decimal places [ANS 2]

calculate the lower value for a 95% confidence interval. round to two decimal places [ANS 3]

calculate the upper value for a 95% confidence interval. round to two decimal places [ANS 4]

worker	1	2	3	4	5	6	7	8	9
before	34	28	29	45	26	27	24	15	15
after	33	36	50	41	37	41	39	21	20