ANSWER ALL FOR ALL POINTS ASAP

1. Define and give examples for nominal, ordinal, interval, and
ratio levels of measurement. Describe the type of statistics which
might be reported for each.

Question 2. 2. Define the terms population, sample, parameter,
and statistic. How does a census compare to a sample?

Question 3. 3. Determine which of the four levels of measurement
(nominal, ordinal, interval, ratio) is most appropriate. Student’s
grades – A, B, or C, on a test.

Nominal

Ratio

Ordinal

Interval

Question 4. 4. Identify which of these types of sampling is
used: random, stratified, systematic, cluster, convenience. An
education researcher randomly selects 48 middle schools and
interviews all of the teachers at each school.

Random

Systematic

Stratified

Convenience

Cluster

Question 5. 5. Find the indicated probability. In a survey of
300 college graduates, 53% reported that they entered a profession
closely related to their college major. If 9 of those survey
subjects are randomly selected without replacement for a follow-up
survey, what is the probability that 3 of them entered a profession
closely related to their college major?

0.865

0.0512

0.149

0.135

Question 6. 6. Find the indicated probability. Round to three
decimal places. A test consists of 10 true/false questions. To pass
the test a student must answer at least 6 of the questions
correctly. If a student guesses on each question, what is the
probability that the student will pass the test?

0.172

0.205

0.377

0.828

Question 7. 7. Find the indicated probability. The diameters of
pencils produced by a certain machine are normally distributed with
a mean of 0.30 inches and a standard deviation of 0.01 inches. What
is the probability that the diameter of a randomly selected pencil
will be less than 0.285 inches?

0.0596

0.0668

0.4332

0.9332

Question 8. 8. A bank’s loan officer rates applicants for
credit. The ratings are normally distributed with a mean of 200 and
a standard deviation of 50. if 40 different applicants are randomly
selected, find the probability that their mean is above 215.

0.4713

0.1179

0.0287

0.3821

Question 9. 9. Below, find the value of the linear correlation
r:

X 23.6 35.3 18.3 49.0 13.2

Y 4 9 3 3 8

-0.2

0

-0.178

0.2

Question 10. 10. Use the given data to find the equation of the
regression line. Round the final values to three significan digits,
if necessary.

X 0 3 4 5 12

Y 8 2 6 9 12

= 4.98 + 0.725x

= 4.88 + 0.525x

= 4.88 + 0.625x

= 4.88 + 0.625x

Question 11. 11. A confidence interval is a range of values used
to estimate the true value of a population parameter.

True

False

Question 12. 12. The critical value corresponding to a 95%
confidence level is .05.

True

False

Question 13. 13. A group of scientists created 250 trials to
measure whether electric shock treatment could cure paranoid
delusions. Of these trials, 52 were successful. Find the margin of
error E that corresponds to a 95% confidence level. The critical
value for 95% confidence level is 1.96.

.0013

.0104

.0236

.0503

.2781

Question 14. 14. Find the minimum sample size that should be
chosen to assure that the proportion estimate p will be within the
required margin of error, .04. Use a 90% confidence interval and a
population proportion of .75. The critical value for a 90%
confidence level is 1.645.

192.8

187.2

160.0

146.1

131.2

Question 15. 15. Find the sample size needed to estimate the
population mean. Assume that you have a critical value of 1.96, and
error of 4.5, and a standard deviation of 124. Round to the nearest
whole value.

746

1265

1501

2804

2917

Question 16. 16. In a survey of 1101 female shoppers, 293 said
their favorite item to purchase was shampoo. Construct a 95%
confidence interval for the proportion who enjoy shopping for
shampoo. The critical value (Zc) for 95% is 1.96.

.240 < proportion < .292

. 210 < proportion < .311

.256 < proportion < .349

.102 < proportion < .383

.256 < proportion < .299

Question 17. 17. In statistics, a hypothesis is a claim or
statement about a property of a sample.

True

False

Question 18. 18. Use the student t-test to determine the margin
of error E for the population mean. Suppose the critical value is
1.972, the degrees of freedom is 189, and the sample standard
deviation is 600.

83.12

85.86

87.97

90.65

91.43

Question 19. 19. Find the minimum sample size that should be
chosen to assure that the proportion estimate p will be within the
required margin of error, .05. Use a 95% confidence interval and a
population proportion of .79. The critical value for a 95%
confidence level is 1.96.

254.9

132.5

146.7

156.3

269.0

Question 20. 20. Estimate the margin of error E for a population
mean when the sample standard deviation is 8.2. Assume the sample
size is 23 and the critical t value for 95% confidence interval and
22 degrees of freedom is 2.074.

3.55

2.45

1.29

5.31

4.89