question 1: - 18 Items were randomly selected from a large inventory. If 20% of the items in the inventory are made in Asia:

What is the probability that exactly 5 of the 18 items selected are made in Asia?

What is the probability that at most 2 of the 18 items selected are made in Asia?

question 2: - The management XYC Inc. wants to determine whether there is a signi cant di erence in the average length of time (in minutes) employees spent on Emails every day within its two operating divisions at= 0.05. The following data has been accumulated for this test. (The degrees of freedom associated with test statistic is given to be 59)

Division 1 Division 2

Sample Mean 56.8 60.3

Sample Standard Deviation 10 18

Sample Size 51 41

solve appropriate null and alternate hypothesis.

determine the critical value for this test.

caluclate test statistci

based on above information, what's is conclusion for test.

question 3: - Use the following information to answer Question 5 to 6: The average length of hockey sticks produced at an assembly line is 186 cm with a standard deviation of 3 cm. Furthermore, it is known that the length of the hockey sticks is normally distributed.

• What is the probability that a randomly selected hockey stick will have length of atleast 190cm?
• 33% of the hockey sticks produced are longer than how many cms?

question 4: - Use the following information to answer Question 7 to Question 9: We want

to determine if education level is independent of gender at= 0.01. A recent market study produced the following data on education level by gender:

Gender

Male Female Total

High School 250 350 600

College/Under Grad 460 540 1000

Postgraduate 65 85 150

total 775 975 1750

• State appropriate null and alternate hypothesis.
• What is the critical value?
• If the²Statistic is 2.912, what is your conclusion?