Ubing & Power or R: 2. A researcher investigates the effects of an after-school
ID: 3306230 • Letter: U
Question
Ubing & Power or R: 2. A researcher investigates the effects of an after-school program on elementary school students' self-esteem levels. A random sample of n-25 students is selected to participate in the program. Their mean self-esteem level after the program's completion is M = 84 (0-100 scale) with standard deviation of s = 15, The researcher compares her results to the general population of elementary school students who have a mean of -80. She wants to test the effect of this program using two-tailed t test with = .05 (a) What is the probability to find the significant result when there is no effect of the program? (b) What is the probability to fail to find the significant result when there is no effect of the program? (c) What is the probability to find the significant result when there is an effect of the program? (d) What is the probability to fail to find the significant result when there is an effect of the program? (e) What is the critical t value to reject the null hypothesis? (f) The research recruited 11 more participants and got the same sample mean and standard deviation. How does this change the answers to questions a - e?Explanation / Answer
Rolling a single die
1) probability of rolling divisors of 6 :
Since its a single die, the possible outcomes are 1,2,3,4,5,6. All have equal probability(1/6) since its a fair die
Out of these divisors of 6 are 1,2,3,6. So P(divisors of 6) = 1/6*1/6*1/6*1/6 = 1/1296 = 0.0008
2) probability of rolling a multiple of 1: Since all(1,2,3,4,5,6) are multiples of 6 = 1/6*1/6*1/6*1/6*1/6*1/6= 1/46656 = 0.00002
3) probability of rolling an even number : There are 3 even numbers between 1-6 i.e. 2,4,6
Hence probability of rolling an even number = 1/6*1/6*1/6 = 1/216 =0.0046
4) List of all possible outcomes of rolling a single die ={1,2,3,4,5,6}
5) probability of rolling factors of 3 : Factors of 3 are 1,3
Hence probability of rolling factors of 3 = 1/6*1/6 = 1/36 = 0.0278
6) probability of rolling a 3 or smaller : 3 or smaller are 1,2,3. Hence the probability = 1/6*1/6*1/6 = 1/216 = 0.0046
7) probability of rolling a prime number: Prime numbers between 1-6 are 2,3,5 hence probability = 1/6*1/6*1/6=1/216=0.0046
8) probability of rolling factors of 4 : Factors of 4 are 1,2,4 hence the probability = 1/6*1/6*1/6 = 1/216 =0.0046
9) probability of rolling divisors of 30 : Divisors of 30 are 1,2,3,5,6 = 1/6*1/6*1/6*1/6*1/6 = 1/7776 = 0.0001
10) probability of rolling factors of 24: Factors of 24 are 1,2,3,4,6 = 1/6*1/6*1/6*1/6*1/6=1/7776=0.0001
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.