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Can you please answer this. 1. If the p-value is 0.01 and the level of significa

ID: 3157765 • Letter: C

Question

Can you please answer this.

1. If the p-value is 0.01 and the level of significance is 0.01, we will:

a) accept the null hypothesis     

b) reject the null hypothesis

c) double the p-value

d) cut the p-value in half

e) none of these

2. If the standard error for a distribution is 10 and the sample size is 25, then the standard deviation is:

a) 50

b) 2.5

c) 250

d) 0.4

e) None of these

3. If the sample size decreases, then what happens to the standard error?

a) It stays the same

b) It increases

c) It decreases

d) nothing

  e) none of these

4. As the confidence interval percentage increases, the z-score:

a) increases

b) decreases

c) stays the same

d) does not depend on the percentage

e) none of these

5. Rejecting the null hypothesis when it’s wrong is:

a) Type I error

b) Type II error

c) Correct decision

d) None of the above

6. When the level of significance is less than the p-value, we will:

a) Keep the null hypothesis

b) Reject the null hypothesis

c) Double the p-value

d) Keep the p-value the same

e) None of the above

7. The hypothesis that we are testing is the:

a) Null hypothesis

b) Alternative hypothesis

c) Research hypothesis

d) None of the above

8. The hypothesis that has equality is the:

a) Research hypothesis

b) Alternative hypothesis

c) Null hypothesis

d) None of the above

9. Fill in the table below

CI%              z-score

81%

93.5%

99.8%

10. Cigarettes manufactured by a company are claimed to have a mean lifetime of 18 months with a standard deviation of 5 months.

a.      What is the probability that one cigarette will last longer than 25 months

b.      What is the probability that the sample mean of 25 cigarettes will last longer than 20 months?

11.      During a random testing, the following measurements were found:

331.9     312.0     289.4     303.6     346.9     308.1     346.9     276.0

a.      What is a point estimate for

b.      Find a 99% Confidence Interval for µ. (Assume the standard deviation is 6.)

12.      How large of a sample would you need to estimate µ from a normal population with = 12.3 to within 2.5 units at the 98% level of significance?

13.      Consider a normal distribution with a mean of 15 and a standard deviation of 5. 12 individuals are sampled:

a.      What is P(x > 17.7)?

b.      What is P(x< 15.6)?

c.       Find the upper 15%. (Convert to x)

14.      At a very large firm, the clerk-typists were sampled to see whether salaries differed among departments for workers in similar categories. In a sample of 50 of the firm’s accounting clerks, the average annual salary was $16,010. The firm’s personnel office insists that the average salary paid to all clerk-typists in the firm is $15,650 and that the standard deviation is $1800. At the 0.10 level of significance, can we conclude that the accounting clerks receive, on average, a higher salary from that of the clerk-typists?

a.)    Set up your two hypotheses:

b.)    Gather your information:

c.)    One-sided or two? And which way?

d.)    Calculate your p-value:

e.)    Write a conclusion:

331.9     312.0     289.4     303.6     346.9     308.1     346.9     276.0

Explanation / Answer

1. If the p-value is 0.01 and the level of significance is 0.01, we will:

b) reject the null hypothesis

2. If the standard error for a distribution is 10 and the sample size is 25, then the standard deviation is:

SD = 10 / srqt 25 = 2

e) None of these

3. If the sample size decreases, then what happens to the standard error?

b) It increases

4. As the confidence interval percentage increases, the z-score:

a) increases

e) of these

5. Rejecting the null hypothesis when it’s wrong is:

c) Correct decision

6. When the level of significance is less than the p-value, we will:

a) Keep the null hypothesis

7. The hypothesis that we are testing is the:

b) Alternative hypothesis

for the other question please post it in a new question