please read the questions carefully and finish it on time.

1. 286 Introductory Statistics students at a University were randomly selected. Their Verbal SAT scores are summarized in the histogram below.

A) How many of the 286 students had a verbal SAT Score greater than 523?

B) What percentage of the students had a Verbal SAT Score more than 564 but no more than 646?

C) The 286 Verbal SAT Score had a mean of approximately 597 and a standard deviation of 78.

The maximum score was 800. How many standard deviations above the mean was the

maximum score?

D) Several students scored 400. What is the z-score of that Verbal SAT Score?

E) According to the standard deviation rule, the middle 68% of scores will be within what values,

approximately?

F) According to the standard deviation rule, approximately what percentage of the scores will be

below 441?

G) Use the given information to test whether the mean Verbal SAT Score of all Introductory Statistics

students at this university is different than the institutional mean of 580. Show all steps of your test of hypothesis.

2. An archeologist wants to determine the difference in the average lead content of Italian glass made during the time of the Renaissance and that made earlier, during the Pre-Renaissance times. Two collections of Italian glass, 12 pieces from each of the two periods, are available for analysis. The random samples consisting of percent lead concentrations from the pieces of glass are assumed to be independent and from approximately normal populations. The lead content, in percent, for each piece of glass is as follows:

Renaissance: 1.2 1.4 1.3 1.1 1.2 1.2 1.7 1.2 1.4 1.0 1.3 1.4 Pre-Renaissance: 1.7 1.1 2.3 1.8 1.3 1.2 1.0 1.9 2.0 2.9 1.7 2.5

Construct a 95% confidence interval for the difference in the average lead content of Italian glass made during the time of the Renaissance and that made earlier, during the Pre-Renaissance times.

Which of the following statements correctly interprets this confidence interval?

A) We are 95% confident that the average lead content of Italian glass made during the time of the Renaissance is greater than the average lead content of Italian glass made earlier, during the Pre-Renaissance times.

B) We are 95% confident that the average lead content of Italian glass made during the time of the Renaissance is less than the average lead content of Italian glass made earlier, during the Pre- Renaissance times.

C) We are 95% confident that there is no statistically significant difference between the average lead content of Italian glass made during the time of the Renaissance and the average lead content of Italian glass made earlier, during the Pre-Renaissance times.

D) The average lead content of Italian glass made during the time of the Renaissance is greater than the average lead content of Italian glass made earlier, during the Pre-Renaissance times.

Problem Type:

Annotate Reading

Calculate parts needed to construct Confidence Interval.

3.. A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of fifty randomly selected adult male subjects. The mean and standard deviation of the reaction times (in seconds) for the fifty adult male subjects were 1.82 seconds and 0.28 seconds respectively. Previous psychological studies have shown that the true mean reaction time for non-sleep- deprived male subjects is 1.70 seconds. Does the sample evidence indicate that the mean reaction time for sleep-deprived adult males is longer than that of non-sleep-deprived adult males? Test at a

5% level of significance.

Annotate your reading and summarize known info:

4. In a large Midwestern university a survey was taken that compared the class of an undergraduate to whether or not they favor the US government’s approach to containment of the spread of nuclear weapons around the world. The following data is a summary of the survey taken by questioning 400 undergraduates at the university, 100 from each class.

Favor Oppose Totals

Freshman Sophomore 54 41

46 59

100 100

Junior Senior Totals 32 23 150 68 77 250 100 100 400

If a student in the survey is selected at random, then find the probability that the student:

A) opposes the US government’s approach to nuclear weapons

B) is a freshman, given that the student opposes the US government’s approach

C) is a junior, given that the student favors the US government’s approach

D) opposes the US government’s approach, given that the student is a freshman or sophomore

In each case, write down a fraction and then round your answer to the nearest 10th of a percent.

Then do a Chi-Square Test to determine if an undergraduate’s opinion of the US government’s approach to nuclear containment is related to their year in school. Use your calculator (STATChi-Square Test) to find the test statistic and the p-value for the test.