Final Exam Review

Question 1

At least how many trials must be run to use the normal approximation for a binomial with a success probability of 78%?

Accepted Answer

23

Question 2

Sam measures air quality in Chicago on the 15th day of each month for three years. What type of sampling is she using?

Accepted Answer

Systematic Sampling

Question 3

Paul surveys 30 of his Accounting classmates about their opinions on the new Business curriculum at PSU. This is a

Accepted Answer

Convenience Sample

Question 4

Which of the following properties of the normal distribution are also true of the Student's T-distribution?

Accepted Answer

i, iii, iv, and v

Question 5

This question was too long for the Quiz box, so here's an image of it:

Accepted Answer

Claim is refuted; fewer people are unable to tell them apart than expected.

Question 6

Textbook lengths are distributed uniformly between 550 and 2100 pages. How likely is a textbook to have over 1170 pages?

Accepted Answer

60%

Question 7

A random variable is known to follow a normal distribution with mean=26 and sd=3.75. The 63rd percentile would be

Accepted Answer

27.24

Question 8

How many modes does the following data set have? {2, 6, 9, 3, 1, 1, 2, 0, 8, 7, 1, 6, 9, 2}

Accepted Answer

2

Question 9

If the number of leaves falling from a tree per hour follows a Poisson distribution with λ = 100, which is true?

Accepted Answer

All of these are true statements.

Question 10

This question was too long for the Quiz box, so here's an image of it:

Accepted Answer

Ho: μ = 17.6

Question 11

Which descriptive display technique would be best to show the proportion of PSU students who are fall/spring athletes?

Accepted Answer

Pie Chart

Question 12

To test if μ < 21 at ∝=0.05 based on a sample of 15 values with mean=23 and sd=1.8, what critical value should be used?

Accepted Answer

t = 1.761

Question 13

This question was too long for the Quiz box, so here's an image of it:

Accepted Answer

62

Question 14

Which of the following circumstances require the use of the hypergeometric distribution instead of the binomial?

Accepted Answer

Both blue and yellow.

Question 15

If the first row of the following population is used as a sample, what will be the sampling error of the mean?

Accepted Answer

-0.65

Question 16

Sue wants to verify the claim that the mean age of patrons at Six Flags is over 36. What should her null hypothesis be?

Accepted Answer

Ho: μ ≤ 36

Question 17

This question was too long for the Quiz box, so here's an image of it:

Accepted Answer

less than the critical value, we cannot say that more than 17 oz is eaten.

Question 18

Fred uses CDC data from 2021 to create a dataset containing 100 observations each from Chicago, LA, and NY. His data is:

Accepted Answer

i, iv, and vi

Question 19

When using the normal approximation to the binomial, how do you find the probability of having fewer than 6 successes?

Accepted Answer

P(x ≤ 5.5)

Question 20

To test H0: μ = 13 (H1: μ ≠ 13), Brody surveys 50 respondents and calculates the statistics below. What is concluded?

Accepted Answer

At α=0.05, we do not have enough evidence to reject the null hypothesis.

Questions 20