Question :1

Determine the area under the Normal Distribution curve with =45 and =5

a. To the right of x=48

b. To the left of x=58

c. Between x=49 and x=52

d. To the left of x=25

e. To the right of x=37

[N.B. Draw a distribution curve for each]

Question :2

Part A

Determine the value of z so that the area under the standard normal curve is-

a. In the right tail is .0500

b. In the left tail is .0250

c. In the left tail is .0100

d. In the right tail is .0050

e. In the left tail is .3565

Part B

Hubolt A. Colt has primarily observed that 6 to 8 percent of their workforce waste a significant

amount of time by watching YouTube videos during their working hour. In order to find out the

exact portion, they conducted a survey and found that on an average 7 percent of their

workforce are addicted to the YouTube videos and they waste 15 minutes on an average daily

to watch YouTube videos. If the result of the survey has generated the correct portion of the

workforce addiction, then find the probability that in a random sample of Six Hundred Hubolt

employees with access to internet, the number who watch YouTube videos is:

a. Exactly Forty-Five

b. Maximum Fifty-Three

c. Between Thirty and Fifty

Question: 3

It's been observed that, the residents of NY on an average spend $140 on mobile plans and the

volatility to such observation is $30. Find the probability that the mean amount of payment for

mobile plans spent for a random sample of 75 residents of NY will be:

a. $132 to $136.

b. $6 of the population mean.

c. More than the population mean by $4.

Question: 4

For a population, N= 15000 and p=.53, Find the z value for each of the following for n=75.

a. p=.56

b. p=.62

c. p=.48

d. p=.57

e. p=.59

Question: 5

Consider the following population of ten numbers:

15,20,17,19,09.11,13,07,30,25

a. Let x denote the elements of the population. Calculate the population distribution of x.

b. Find the population mean.

c. A sample of nine numbers has been selected from this population. By mistake sample

excluded the number 19. Now calculate the sample mean and sampling error for this

sample.

d. Calculate the non-sampling error using the sample that's been selected without 19.