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1. In a manufacturing process, a machine produces bolts that have an average len

ID: 3268281 • Letter: 1

Question

1. In a manufacturing process, a machine produces bolts that have an average length of 3 inches with a variance of .03. If we randomly select three bolts from this process: What is the probability the mean length of the bolt is less than 3.16 inches?
A. 97.72%
B. 5.48%
C. 94.52%
D. 44.52%
E. 2.28%

2. When the level of confidence and sample standard deviation remain the same, a confidence interval for a population mean based on a sample of n = 100 will be ______________ a confidence interval for a population mean based on a sample of n = 150.
A. Wider than
B. Narrower than
C. Equal to

3. When a confidence interval for a population proportion is constructed for a sample size n = 45 and the value of p = 0.4, the interval is based on:
A. The Z distribution
B. The t distribution
C. A Skewed distribution
D. None of the above

4. For a given hypothesis test, if we do not reject H0 and H0 is false.
A. No error has been committed
B. Type I error has been committed
C. Type II error has been committed
D. The alternative hypothesis is accepted

5. If a null hypothesis is rejected at a significance level of .05, it will ______ be rejected at a significance level of .10
A. Always
B. Sometimes
C. Never

6. When carrying out a large sample test of H0: = 10 vs. Ha: > 10 by using a critical value, we reject H0 at level of significance when the calculated test statistic is:
A. Less than za
B. Less than- za
C. Greater than za/2
D. Greater than za
E. Less than the p value

7. In a simple linear regression analysis, the correlation coefficient (a) and the slope (b) _____ have the same sign.
A. Always
B. Sometimes
C. Never

Explanation / Answer

1. Option C is correct.

2. Option A is correct.

3. Option A is correct.

4. Option C is correct.

5. Option A is correct.

6. Option D is correct.

7. Option A is correct.