QUESTION 5

2) What is the critical value?

QUESTION 6

3) Calculate the test statistic to 1 decimal place.

QUESTION 7

4) What is your decision regarding the null hypothesis?

a. Reject Null Hypothesis

b. Do not Reject Null Hypothesis

QUESTION 8

5) What is your conclusion?

a. Sample data indicates that college students watch significantly fewer DVDs than high school students.

b. Sample data indicates that college students watch significantly more DVDs than high school students.

QUESTION 9

Use the following for the next 5 questions:

A new process was created for the production of computer chips.Management wants to know if the mean time of the new process is less than the mean time of the older process.When data was collected the following was found.The mean time for the new process was 1.31 minutes with a standard deviation of 0.24 minutes.The mean time for the older process was 1.24 minutes with a standard deviation of 0.23 minutes.Both were from samples of 50 units each.Test to determine whether the mean time of the new process is greater than the mean process time for the older process at a level of significance of = 0.025.

1) Entere the proper signs to complete the hypotheses.

Use the following to enter your sign:

=equals/=does not equal to

>greater than>=greater than or equal to

H₀:_new_________ old

H₁: _new________ old

QUESTION 10

2)What kind of test is this?

a. One-tail (left tail)

b. One-tail (right tail)

c. Two-tail

QUESTION 11

3) What is the critical value?

QUESTION 12

4) Calculate the test statistic to 2 decimal place.

QUESTION 13

5) What is your decision regarding the null hypothesis?

a.Reject Null Hypothesis

b.Do Not Reject Null Hypothesis

QUESTION 14

6) What is your conclusion?

a. Sample data indicates that the mean time for the new process is significantly greater than the mean time of the older process.

b. Sample data indicates that there is no difference in the mean time for either processes.

c. Sample data indicates that the mean time for the new process is not significantly greater than the mean time of the older process.

QUESTION 15

The following data represent the results of a study of the performance of ten employees on a particular machine on a productions line and their scores on a mechanical aptitude test:

Output (# of units)Aptitude Test Score

410115

430125

425140

440160

445165

452170

460198

489200

490210

480215

1)If you were to draw a scatterplot, choose the option that would best describe your scatterplot:

a.no trend

b.decreasing & linear trend

c.increasing & linear trend

QUESTION 16

1)Calculate the correlation coefficient. Round your final answer to 4 decimal places.

QUESTION 17

3) Calculate the coefficient of determination. Round your final answer to 4 decimal places.

QUESTION 18

4) Find the regression equation that relates the data. Round your final answers to 4 decimal places.

Y' = ___________ +____________ X

QUESTION 19

5) Is the regression equation in this example reliable?

a.Yes

b. No

QUESTION 20

6)Estimate the test score that would be expected for an employee whose output is 450 units. Round your final answer to the nearest whole.

QUESTION 21

7) Calculate the standard error of the estimate. Round your final answer to 4 decimal places.

QUESTION 22

Determine the 95% confidence interval for the test score if output is 450 units. Round your final answers to 1 decimal place.

Lower Limit ____________

Upper Limit _____________

The data le PGADRIVER contains driving accuracy (y) and driving distance (x)

of various golf players. We use the driving distance here as a predictor, and driving

accuracy as a response. Use MINITAB (or another software, if you wish) to answer

the questions below.

(a) Find a 95% prediction interval for the driving accuracy if the driving distance is

x = 300 yards.

(b) Find a 95% condence interval for the average value of the driving accuracy if the

driving distance is x = 300 yards.

(c) Compare the intervals in parts (a) and (b). Which interval is wider? Is this always

the case?

PLAYER Woods Perry Gutschewski Wetterich Hearn Gronberg Frazar Warren Glover MacKenzie Love III Garcia Durant O'Hair Singh Long Smith Hend Hughes Stadler Allenby Mayfair Appleby Snyder III Purdy Brigman Bryant Rollins Jobe Brehaut Ogilvy Henry Rose Westwood Johnson Senden Mickelson Watney Trahan Pappas

DISTANCE 316.1 304.7 310.5 311.7 295.2 301.4 301 299.2 302.2 300.2 305.4 303.5 289.2 300.1 301.1 298.3 300.8 318.9 291.3 300.1 297.7 288.2 300.6 291.8 295.2 295.5 283.2 294.4 302.3 286.6 298 297.6 294.1 296.8 290 291 300 298.9 295.8 309.4

ACCURACY 54.6 63.4 57.9 56.6 68.5 63.2 63.5 64.2 60.7 62.1 57.9 59.4 70.9 61.4 60.2 62.4 60.2 45.4 67.5 60.4 62.3 69.8 59.3 66.3 63.4 63.1 73 63.7 57.3 69.9 60.7 61 63.7 61.5 66.9 66 58.7 59.4 61.8 50.6

INDEX 3.58 3.48 3.27 3.18 2.82 2.74 2.74 2.55 2.27 2.22 2.21 2.21 2.2 2.02 1.92 1.9 1.85 1.89 1.76 1.76 1.75 1.71 1.58 1.56 1.52 1.5 1.49 1.43 1.42 1.4 1.4 1.4 1.37 1.36 1.34 1.31 1.3 1.26 1.23 1.17

1a) A student spins a mystery spinner 24 times. The results are Red 12 times, Yellow 4 times, and Blue 8 times.

- Determine the experimental probability of a spinner landing on each colour. Express your answer as fraction, a decimal, and a percent.

- Determine the sum of the probabilities and explain what it means.

- What could this spinner look like? Can you be certain this is what the spinner looks like?

b) Suppose there are n possible outcomes to a certain probability experiment, all equally likely. Use algebraic reasoning to prove that the sum of the theoretical probabilities for all possible outcomes for this experiment must equal 1.

c) A weather report claims that the PoP of a raining day in the previous April was 70%. How much raining days were there in April?

d) A coin is tossed n consecutive times. Find the probability of showing a tail n times in a row.

2a) In a group of 45 students, 28 have dark hair, 19 are shorter than 185 cm, and 5 neither have dark hair nor are shorter than 185 cm. If a student is selected at a random, determine the probability that the student is:

a) shorter than 185 cm and has dark hair

b) shorter than 185 cm or has dark hair

c) not shorter than 185 cm

3a) A bag contains three red marbles and five white marbles. What is the probability of drawing two red marbles at a random if the first marble drawn is not replaced?

b) A die is rolled twice. Determine the probability that the sum of the two rolls is grater than 6, given that the first roll.

4a) In how many ways can 10 students standing in a line be arranged if Jill must be the first?

b) From a class of 20 students, determine how many ways a five-person committee can be selected to organize a class party with Marnie on the committee. (No calculator for counting factorials)

(a) A random sample of size 30 is taken fromBin(20, 0.6) i.e. Binomial distribution. Find

i. (< 12.2)

ii. (> 12.4)

iii. (12.2 << 12.4)

(b) 2% of the trees in a plantation are known to have a certain disease. What is the probability that, in a sample of 250 trees

i. less than 1% are diseased?

ii. more than 4% are diseased?

(c) The weekly wages (to the nearest K) of the production line workers in small factory is

shown in the table below:

Weekly wage (K)Number of workers

16 - 255

26 - 3516

36 - 4514

46 - 5522

56 - 6526

66 - 7514

i. Calculate the estimate of the mean wage

ii. Find an estimate for the median wage

iii. Find an estimate for the modal wage

iv. Find an estimate for the quartile deviation wage

v. Compute the coefficient of variation

QUESTION TWO

(a) Assume that the probability of an individual coal miner being killed in a mine accident during a year is 1/2400. Use the Poisson approximation to the Binomial to calculate the probability that in a mine employing 200 miners, there will be atleast one fatal accident in a year.

(b) A package of 8 AA batteries contains 2 batteries that are defective. A student randomly select four batteries and replaces the batteries in his calculator.

i. What is the probability that all four batteries work?

ii. What is the mean and variance for the number of batteries that work?

(c) The probability that a driver passes the written test for a driver's license is 0.75. What is the probability that a person will fail the test on the first try and pass thetest on the second try?

(d) The principal of a college wants to estimate the proportion of smokers among his students. What size of a sample should be selected so as to have the proportion of smokers not to exceed by 20% with almost certainty? It is believed from previous records that the proportion of smokers was 0.55.

(e) Ten students were given intensive coaching for a month in statistics. The scores obtained in tests 1 and 7 are given below:

Serial No. of students12345678910

Marks in 1st test50525360656748697280

Marks in 7th test65556565606749827486

Does the scores from test 1 to test 7 show an improvement ? Test at the 2% level of

significance.