Reviewing the Work Done by a Statistical Analyst - Management Assignment Help

Assignment Task:

Task:

1. You are reviewing the work done by a statistical analyst who was interesting in formulating a 95% confidence interval for the population mean. In looking over his notes, you find that she used a sample of size n = 16, and the confidence interval she formulated was 63.803 ≤ ? ≤ 68.597. How wide would her confidence interval have to have been for 99% confidence?
a) Not greater than 3.5
b) Greater than 3.5 but not greater than 3.9
c) Greater than 3.9 but not greater than 5.1
d) Greater than 5.1 but not greater than 5.6
e) Greater than 5.6
2. In hypothesis testing, what is a Type I error?
a) Rejecting a true HA
b) Failing to reject a false HA
c) Rejecting a true H0
d) Failing to reject a false H0
e) None of the above
3. If X is normally distributed with a mean of 40 and a standard deviation of 16, if we took random samples of n = 25 then we would expect our sample means to have an average of __________.
a) 3.2
b) 4
c) 4.5
d) 5
e) None of the above
4. Suppose you were formulating a 95% confidence interval for the population proportion, and you’d like your confidence interval to be not wider than 0.04 (i.e., you’d like the gap between the lower interval limit and the upper interval limit to be not greater than 0.04). To be on the safe side, how big should your sample size be?
a) Not greater than 300
b) Greater than 300 but not greater than 500
c) Greater than 500 but not greater than 750
d) Greater than 750 but not greater than 1500
e) Greater than 1500
5. Which of the following has to happen for us to make a Type I error?
a) We have to reject H0
b) We have to fail to reject H0
c) Ho has to be false
d) H0 has to be true
e) Both A and D
f) Both B and C

6. Suppose we are testing the following null/alternate hypotheses: H0: ? = 200; Ha: ? ≠ 200. We will conduct this test with a sample of size n = 20, and our alpha (?) will be 0.05. We do not know what the population standard deviation is, but we feel safe in assuming the population is normally distributed.

What will we need to see to lead us to reject H0?
a) Z with an absolute value that’s greater than or equal to 1.645
b) t with an absolute value that’s greater than or equal to 2.093
c) t less than or equal to 1.729
d) F greater than 1.79
e) F less than 0.559
7. Suppose we tested the following null/alternate hypotheses: H0: ? = 80; HA: ? ≠ 80. We conducted this test with a sample of size n = 16. We did not know the population standard deviation, but we were comfortable in assuming a normally distributed population. Assuming our alpha (?) will be 0.05, if the value of our test statistic was 1.832, we would _________ because our test statistic’s __________.
a) Reject H0; p-value is too large
b) Reject H0; p-value is too small
c) Not reject H0: p-value is too large
d) Not reject H0: p-value is too small
e) None of the above
8. If we are conducting a hypothesis test regarding ?, we should use the t distribution for our test statistic if __________.
a) our sample size is large
b) we know the population standard deviation
c) our sample is taken non-randomly
d) none of the above
9. Suppose we have formulated a 95% confidence interval for P. What do we mean when we refer to this interval’s confidence?
a) We are 95% confident this interval contains the value of the population proportion.
b) We are 95% confident that our margin of error is at its minimum
c) We are 95% confident that our sample proportion is not normally distributed
d) None of the above

10. Suppose I am conducting a hypothesis test and I am weighing two values for alpha (?) – say, ? = 0.05 vs. ? = 0.10. What would the consequences be if I chose ? = 0.10 (as compared to ? = 0.05)?
a) I’d be more likely to make a Type II error
b) I’d be more likely to incorrectly reject HA
c) I’d be more likely to incorrectly accept H0
d) I’d be more likely to incorrectly reject H0
e) Both A and C

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