1) A bottling plant produces one-litre bottles of soda. The actual distribution of volumes of soda dispensed to bottles is Normal, with mean ? = 0.956 litre and standard deviation ? = 0.05 litre. We randomly select six (6) bottles and measure the volume of soda in each. The results of these six measurements (all in litre units) are 1.05, 1.04, 1.01, 1.06, 0.94, 0.99

Reference: Ref 13-3

Which of the following is true?

Select one:

a.In taking very many random samples of six bottle volumes, each time computing a 90% confidence interval for the average volume, 90% of confidence intervals will capture ?

b.There's a 0.90 probability that ? is contained in the interval.

c.If we construct 10 confidence intervals for ? each based on a random sample of six bottle volumes, exactly nine of them will capture ?.

d.All of the above.

2) A 99% confidence interval for the average weight?of a population is computed from a random sample and found to be 62, or 4 to 8. We may conclude that

Select one:

a.

there is a 99% probability that?is between 4 and 8.

b.

there is a 99% probability that the true mean is 6, and there is a 99% chance that the true margin of error is 2.

c.

if we took many, many additional random samples, and from each computed a 99% confidence interval for?, approximately 99% of these intervals would contain?.

d.

two of the above.

3)The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed with mean?and standard deviation?= 10. A simple random sample of 25 children from this population is taken and each is given the WISC. The mean of the 25 scores is= 104.32.

Reference: Ref 13-4

Based on these data, a 95% confidence interval for?is

Select one:

a.104.32 19.60.

b.104.32 0.78.

c.104.32 3.92.

d.104.32 3.29.

4) A bottling plant produces one-litre bottles of soda. The actual distribution of volumes of soda dispensed to bottles is Normal, with mean ? and standard deviation ? = 0.05 litre. We randomly select six (6) bottles and measure the volume of soda in each. The results of these six measurements (all in litre units) are 1.05, 1.04, 1.01, 1.06, 0.94, 0.99

Reference: Ref 13-3

Based on these data, a 90% confidence interval for ? is

Select one:

a.0.975 liters to 1.055 liters.

b.0.981 liters to 1.049 liters.

c.0.933 liters to 1.097 liters.

d.0.917 liters to 1.113 liters.

5)A researcher used a new drug to treat 100 subjects with high cholesterol. For the patients in the study, after two months of treatment the average decrease in cholesterol level was 80 milligrams per deciliter (mg/dl). Assume that the decrease in cholesterol after two months of taking the drug follows a Normal distribution, with unknown mean ? and standard deviation ? = 20 mg/dl. The researcher will construct a 90% confidence interval to estimate ?.

Reference: Ref 13-1

The researcher's 90% confidence interval for ? is

Select one:

a.47.1 mg/dl to 112.9 mg/dl.

b.78 mg/dl to 82 mg/dl.

c.76.71 mg/dl to 83.29 mg/dl.

d.60 mg/dl to 100 mg/dl.

6)The population of the scores of all high school seniors that took the SAT-M test (mathematics component of the SAT test) last year followed a Normal distribution, with mean ? and standard deviation ? = 100. You read a report that says, "On the basis of a simple random sample of 500 high school seniors that took the SAT-M test this year, a confidence interval for ? is 512.00 11.52."

Reference: Ref 13-2

The confidence level for this confidence interval is

Select one:

a.90%.

b.95%.

c.99%.

d.unable to be determined from the information provided.

7)

Histogram of WISC Scores 6 5 - 4 2 80 160 240 320 WISC Score