Complete the following sections:
Section 1
Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, 66 unpopped kernels were counted.
A. Construct a 90% confidence interval for the proportion of all kernels that would not pop.
1. What was the Point Estimate?
2. What was the Margin of error, E =
3. What was the z-value?
4. Confidence Interval?
B. Interpret the confidence interval
C. Check the normality assumption.
Section 2
sample of 19 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text).
Construct a 95% confidence interval. The data are shown below:
0 260 356 350 536 0 268 369 428 536
268 396 469 536 162 338 350 536 536
(in square millimeters)
A. Construct a 95% confidence interval for the true mean.
1. What was the Point Estimate?
2. What was the Margin of error, E =
3. What was the t-value?
4. Confidence Interval?
B. Interpret the confidence interval
C. What sample size, n, would be needed to obtain an error of ±10 square millimeters with 99% confidence?
2. What is the sample size, n, using the finite formula?
Section 3
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below.
The firm examined 45 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation, s = 4.45 pages. Is the true mean greater than 10 at a 99% confidence level?
A. Choose the Hypothesis
B. Specify the Decision Rule
C. Calculate the Test Statistic
D. Make the Decision
E. Give an interpretation of the Decision
F. P-value Method
1. Calculate the P-value. What is it?
2. Does that P-value support the Decision in Part D? Explain.
HYPOTHESIS TEST ~ PROPORTIONS
Section 4
A coin was flipped 80 times and came up heads 50 times. Is the coin biased toward heads at a 90% confidence level?
A. Choose the Hypothesis
B. Specify the Decision Rule
C. Calculate the Test Statistic
D. Make the Decision
E. Give an interpretation of the Decision
F. P-value Method
1. Calculate the P-value. What is it?
2. Does that P-value support the Decision in Part D? Explain.