A The BYU Testing Center is known for being the location wit

A) The BYU Testing Center is known for being the location with the most prayers said per capita. Researchers asked a random sample of 47 BYU students to estimate the number of prayers they said in the BYU Testing Center last semester.

Here is the data:

16 4 5 22 10 10 11 2 3 5

14 22 27 14 19 4 5 4 8 17

13 21 0 28 1 1 13 23 25 7

18 3 17 18 15 7 4 12 4 6 3

0 12 7 20 13 0

The researchers are willing to consider these 47 BYU students as an SRS from the population of all BYU students. Suppose it is known that the number of prayers said in the BYU Testing Center has standard deviation = 8. Researchers plan to use these data to estimate the mean number of prayers said by students last semester in the BYU Testing Center with 99% confidence. What does the symbol represent in the context of this problem?

a. The mean number of prayers said last semester in the BYU Testing Center by a BYU student

b. The mean number of prayers said last semester in the BYU Testing Center by all BYU students.

c. The number of prayers said last semester in the BYU Testing Center by a BYU student.

d. The number of prayers said last semester in the BYU Testing Center by all BYU students.

e. The mean number of prayers said last semester in the BYU Testing Center by the 47 BYU students in the sample.

B) Give an estimate of the mean number of prayers said in the BYU Testing Center by BYU students with a 99% confidence interval for . Use x = 10.915.

Solution

The researchers are willing to consider these 47 BYU students as an SRS from the population of all BYU students. Suppose it is known that the number of prayers said in the BYU Testing Center has standard deviation = 8. Researchers plan to use these data to estimate the mean number of prayers said by students last semester in the BYU Testing Center with 99% confidence. What does the symbol represent in the context of this problem?

a. The mean number of prayers said last semester in the BYU Testing Center by a BYU student

b. The mean number of prayers said last semester in the BYU Testing Center by all BYU students.

c. The number of prayers said last semester in the BYU Testing Center by a BYU student.

d. The number of prayers said last semester in the BYU Testing Center by all BYU students.

e. The mean number of prayers said last semester in the BYU Testing Center by the 47 BYU students in the sample.

B) Give an estimate of the mean number of prayers said in the BYU Testing Center by BYU students with a 99% confidence interval for . Use x = 10.915.

CI =   \\bar x \\pm z *\\frac{\\sigma}{\\sqrt{n}}

For 99%, z=2.576

   CI = 10.915 \\pm 2.576*\\frac{8}{\\sqrt{47}}

= (7.909, 13.921)

99% CI = (7.909, 13.921)