Reference no: EM132216763

QUESTION 1

A user survey is completed by 35 individuals testing a new interface. They each score the interface on a 1 to 100 scale. The average score is 71 with a standard deviation of 4. The designer wants to test the hypothesis that the rating is above 70 with 95% confidence. Blank 1 Which of these is the appropriate null hypothesis? (Ho: μ < 70 , Ho: μ ≥ 70 , Ho: μ < 72, or Ho: μ ≥ 72) Blank 2 What z-value is calculated as the test statistic for this hypothesis? Blank 3 What is the p-value associated with this z? Blank 4 What is the decision? (fail to reject null hypothesis , reject null hypothesis) Blank 5 With 95% confidence, is the mean greater than 70?

QUESTION 2

A programmer has developed a random number generator that gives a normally distributed set of results based on an input population mean and population standard deviation. To test the program, he inputs a mean of 20 and a standard deviation of 5. He generates 14 random numbers with a sample mean of 22.3 and a sample deviation of 5. He wants to test with 95% confidence whether or not this sample has the correct mean of 20. Blank 1 Which of these is the appropriate null hypothesis? (Ho: μ = 20 , Ho: μ =22.3) Blank 2 What z-value is calculated as the test statistic for this hypothesis? Blank 3 What is the p-value associated with this z? Blank 4 What is the decision? (fail to reject null hypothesis or reject null hypothesis) Blank 5 With 95% confidence based on this measurement, is the program working correctly? (yes or no)

QUESTION 3

A performance specification requires a variance of less than 0.20 (σ2≤0.20). A sample of 15 batches have an average variance of 0.23 (s2=0.23). For a 90% confidence, is this sample out of spec? Blank 1 Which of these is the appropriate null hypothesis? (Ho: μ = 0.20 , Ho: μ =0.23, Ho: σ2 = 0.20 or Ho: σ2 =0.23) Blank 2 What is the chi-squared (χ2) cut-off value for rejecting the null hypothesis given n=15 and α=0.10? Blank 3 What χ2-value is calculated as the sample statistic for this hypothesis? Blank 4 What is the decision? (fail to reject null hypothesis or reject null hypothesis) Blank 5 With 95% confidence based on this measurement, do these batches need to investigated for not meeting the variance spec?

QUESTION 4
The table below gives process times for two different systems running a series of computation tasks. A system administrator wishes to utilize a t-test with 95% confidence to assess whether or not the two systems perform differently.

	Test A	Test B	Test C	Test D	Test E
System Alpha	45	92	21	33	74
System Beta	56	86	24	42	80

Are these samples independent, dependent, or paired?

a. independent

b. dependent

c. paired

QUESTION 5
Fill in the remaining values in the difference table:

	Test A	Test B	Test C	Test D	Test E
Beta-Alpha Difference	11	Blank 1	Blank 2	9	Blank 3

QUESTION 6
What is the average difference?

QUESTION 7
What is the t-statistic value for this test?

QUESTION 8
What is the standard deviation of the difference?

QUESTION 9
What are the bounds of the 95% confidence interval for difference with values to the nearest tenth: _ Blank 1 ____≤ d ≤ _ Blank 2 ____.

QUESTION 10
If testing the null hypothesis d=0 at 95% confidence, what is the resulting conclusion?

a. fail to reject null hypothesis

b. reject null hypothesis

QUESTION 11

Based on this analysis, is there a significant difference between System Alpha and System Beta?

a. yes

b. no

QUESTION 12

A hypothesis test wishes to assess the difference between two means for independent samples. Which equation gives the correct calculation for t for this test?

Part - 2:

QUESTION 1
Complete all missing elements in the ANOVA table.

QUESTION 2
The results in the ANOVA table in the previous problem allow you to draw what conclusion?

a. There is not a significant difference for any of the factor levels.

b. Level A is significantly different from Level D.

c. Level B is significantly different from Level D.

d. At least one of the factor levels is significantly different.

QUESTION 3

Which graph shows negative correlation?

QUESTION 4
x 1 1.2 1.8 2 2 2.3 2.9 3.2 3.2 3.8 4 4.1 4.5 4.7 4.9
y 0.6 2.5 4.3 3.2 5 5 6.9 8.2 7.1 8.9 10.8 9.4 10.5 12.7 12.4
2. Perform a linear regression on the given data table. Give the best fit line equation and the correlation coefficient.

QUIZ 2

QUESTION 1

Two six-sided dice are thrown. What is the probability that they sum to 6? = Blank 1 / Blank 2

QUESTION 2
A coin is flipped three times. How many items are in the sample space listing head or tails results?

QUESTION 3
In how many of these outcomes is there exactly one head?

QUESTION 4
A bag contains 21 marbles: 4 green, 2 red, 8 blue, and 7 yellow. Two marbles are drawn from the bag. What is the probability that both marbles are yellow? Express your answer as a decimal or percentage.

QUESTION 5
John drives the same route to work every day. He passes through two traffic lights. The tree diagram below describes how frequently his car is stopped. Are the chances at each of the two traffic lights independent or dependent?

QUESTION 6
What is the probability that both lights will be red?

QUESTION 7
The probability of event D occurring is 0.50. The probability of event E occurring is 0.80. The two events are independent. What is the probability that at least one of the events (either D or E or both) will occur?

QUESTION 8
The probability of event A occurring is 0.50. The probability of event B occurring is 0.10. The two events are mutually exclusive. What is the probability that both events (A and B) occur?

QUESTION 9
For events G and H, P(G) = 0.60, P(H) = 0.40, and P(GandH) = 0.24. Are these events independent or dependent? = Blank 1 What is P(GorH)? Blank 2

QUESTION 10
Two six-sided dice are rolled. What is the probability that at least one of the dice shows a four?

QUESTION 11
Two six-sided dice are rolled. What is the probability that one of the dice shows a 3 or the dice sum to 10?

QUESTION 12
A single card is drawn from a standard 52-card deck. What is the probability that the card is a two or a three?

QUESTION 13
Two events are ________ if the occurrence of one gives no information about the likeliness of occurrence of the other.

QUESTION 14
Two events are ________ if there are no circumstances in which both events occur.

QUESTION 15
The probability of event Q is P(Q) = 0.60. What is the probability that Q does not occur?

QUIZ 3

1. Identify the population graph below.

a. uniform

b. U-shaped

c. J-shaped

d. normal

QUESTION 2
Identify the population graph below.

a. uniform

b. U-shaped

c. J-shaped

d. Normal

QUESTION 3

Identify the population graph below

a. uniform

b. U-shaped

c. J-shaped

d. Normal

QUESTION 4
The chances of an error occurring in any single line of code is found to be 0.001 (0.1%). If a program contains 400 lines of code, what is the probability that there are no errors?

QUESTION 5
Find the area under the normal curve that lies to the right of z=0.55.

QUESTION 6
Find the area under the normal curve that lies to the left of z=0.5

QUESTION 7
The probability of a given score range is 0.4713. The bottom of the score range is the average (z=0). What is the z-score for the upper end of the distribution?

QUESTION 8
A process window is set so that 95.44% of product passes the process spec. In order to pass, the product must be close to average. How many standard deviations away does 95.44% represent?

QUESTION 9
A coin is flipped 60 times. The number of heads is counted. What is the expected value for number of heads?

QUESTION 10
If 100 people were each to flip a coin the same number of times, what would be the approximate distribution of the resulting total?

a. uniform

b. normal

c. exponential

d. chi-square

QUESTION 11
Match the variables.

μ

σ

σ2

Q3

P(C)

?
a. probability of event A
b. third quartile
c. population variance
d. population mean
e. first quartile
f. population standard deviation
g. average of sample y
h. sample standard deviation
i. probability of event C

QUIZ 4

QUESTION 1
Fill in the blanks for "x" and "y". A medical database has over 10,000 health records. The data was recently transferred from written records. The administrator wants to assess how often errors or omissions occurred in the transfer process. She randomly selects 25 health records and finds that these average 20 omissions or errors each. The sample standard deviation is 3.5. Find the 90% confidence interval (α=0.10) for the average number of omissions or errors per record in the overall database rounding to tenths : __ Blank 1 ___≤ μ ≤ _ Blank 2 ____.

QUESTION 2
Fill in the blanks for "x" and "y". ) A bulk supply of CAT6 cables were purchased to implement a wired office network. The network designer randomly tests 12 of the cables and finds the attenuation is on average 22.7dB with a sample standard deviation of 1.9 dB. She wishes to estimate the 95% confidence interval for the mean attenuation of all of the cables. Find the 95% confidence interval (α=0.05) for the mean attenuation rounded to the nearest tenth: _ Blank 1 ____dB≤ μ ≤ __ Blank 2 ___dB.

QUESTION 3
What is the t-statistic used in a 90% confidence interval calculation for a sample size of 9?

QUESTION 4
Match each the following statistics to the appropriate test:

ratio of variances for two samples

difference of two sample means

variance compared to a predicted population variance

mean compared to predicted sample mean with known population variance
a. χ2-test
b. F-test
c. z-test
d. t-test

QUESTION 5
For a 85% confidence interval, what is the value of α?

QUESTION 6
Find the test statistics using the tables in the text. F(7,11,.05)

QUESTION 7
Find the test statistics using the tables in the text. χ2(10,0.05)

QUESTION 8
Find the test statistics using the tables in the text. z(0.05)

QUESTION 9
Find the test statistics using the tables in the text. t(10,0.05)

Attachment:- QUIZZ.rar