Task:
QUESTION 1
1. The Department of Education was concerned about the low physical activity among primary school children. The Research team at the department sampled randomly 100 primary school kids aged between 5-10 years. The kids were asked to wear a pedometer for 24 hours. The mean number of steps were 6000 with a standard deviation of 2000. Calculate the 99% confidence interval for the average steps taken by primary school children in 24 hours.
(Write your answers to the nearest whole number)
Based on the above study, we are 99% certain that the average steps taken by primary school children in 24 hours on a typical day lies between _ and _ .
QUESTION 2
1. Based on the information provided in Q1, what is the probability that a randomly chosen child from all the primary school kids between 5-10 years of age take 3500 steps or less in 24 hours on a typical day?
(Round your answer correct to 1 decimal place; don't include the percent sign %) The probability of a randomly selected primary school child to take 3500 steps on a typical day is [answer] percent.
QUESTION 3
1. Suppose you are interested to understand if there is any association between participation in extracurricular activity and academic achievement. In a sample of 250 students who participated in 2 or more extracurricular activity 147 kids were high achievers (scored 80% or more on the Standardized test) while among 350 students who did not report to participate in any extracurricular activity 168 were high achievers.
Which of the following are the most appropriate null and alternative hypotheses?
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