Question 11

On the standard normal distribution what is P(z<0.23)?

a)

0.4020

b)

0.4129

c)

0.5910

d)

0.5817

e)

0.6293

Question 12(3 points)

On the standard normal distribution what is P(z>-1.42)?

a)

0.0793

b)

0.9236

c)

0.0778

d)

0.0749

e)

0.9222

Question 13

On the standard normal distribution what is P(-1.33

a)

-0.8860

b)

0,9778

c)

0,918

d)

1.0696

e)

0.8860

Question 14

Suppose that the average nurse at a local hospital during the pandemic has works an average of 12.4 hour shifts with a standard deviation of 3 hours. If a group 10 nurses are selected at random what is the probability their average work hours is more than 13 hours?

a)

0.7357

b)

0.2611

c)

0.2643

d)

0.6325

Question 15

Suppose that the average nurse at a local hospital during the pandemic has works an average of 12.1 hour shifts with a standard deviation of 3.0 hours. Suppose hospital ask the nurses in the top 5% of hours worked to take a extra time off, how many hours is the cut-off? (round-up your answer up to the nearest integer)

Question 16

Suppose that a sample of 33 patrons at an apple orchard have their number bags of apples they pick is recorded and it found the average number of bags picked is 10. If the population deviation is 4, find the lower bound of a 99% confidence interval.Round-down your answer correctly to the nearest integer.

Question 17

Suppose that a sample of 37 patrons at an apple orchard have their number bags of apples they pick is recorded and it found the average number of bags picked is 7. If the population deviation is 4, find the upper bound of a 99% confidence interval.Round-up your answer correctly to the nearest integer.

Question 18

Suppose that a sample of 11 patrons at an apple orchard have their number gallons of apples cider they purchase is recorded and it found the average number of bags picked is 15 a standard deviation of 4, find the lower bound of a 99% confidence interval.Round-down your answer correctly to the nearest integer.

Question 19

Suppose that a sample of 11 patrons at an apple orchard have their number gallons of apples cider they purchase is recorded and it found the average number of bags picked is 10 a standard deviation of 4, find the upper bound of a 99% confidence interval.Round-up your answer correctly to the nearest integer.

Question 20

Suppose that political party has a poll put in field to find out the approval rating of their candidate. From a sample of 400 people they find that 270 say they have a high approval. Find the lower bound for a 95% confidence interval for the true proportion. (round-down your answer to 4 decimal places, do NOT write in percentage notation)

Question 21

Suppose that political party has a poll put in field to find out the approval rating of their candidate. From a sample of 580 people they find that 150 say they have a high approval. Find the upper bound for a 95% confidence interval for the true proportion. (round-up your answer to 4 decimal places, do NOT write in percentage notation)