Question

QUESTION 8 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3 years. A random sample of 36 students is selected. Find a value, C, such that the probability of sample means being greater than C is 0.6808. 10 points

QUESTION 9 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3 years. A random sample of 36 students is selected. Find a value, C, such that the probability of sample means being less than C is 0.1539. 10 points

QUESTION 10 There are 1000 employees in a firm, 42% are female. A sample of 40 employees is selected randomly. Compute the standard error of the sample proportion. 10 points QUESTION 11 There are 1000 employees in a firm, 45% are female. A sample of 25 employees is selected randomly. What is the probability that the sample proportion of females is less than 50%? 10 points

QUESTION 12 There are 1000 employees in a firm, 45% are female. A sample of 25 employees is selected randomly. What is the probability that the sample proportion of females is greater than 56%?

Answer 1

z value for = c in- 4 - 24 o.s 0.5 → → PC F > c) = P(Z > C0.84) 0.6808 = 1 - P(Z <624) - 24 0 .5 3 P(Z <4-24) = 1-0.6808 0,5 = 0.3192 - feum z table, we find, P (z a -0.47) = 0.3192 comparing 6 and 6 , we get. - c-24 = -0.47 6.5 -> c=(-0.47X0.5) + 24 c = 23.765 years so cis 23.765 years and probability of sample means being greater than c = 0.6808