Statistics and Probability Answers

The list gives the durations, in years, of the top 20 longest-running Canadian television shows.

18 20 38 19 22 23 23 27 36 18 18 18 20 25 18 24 24 33 25 25

Construct a stem-and-leaf plot.

Sam has 6 rose bushes. He counted the flowers on each of them. There are 8, 2, 5, 4, 11 and 9. Find the Standard Deviation. Is 25 a “Usual” number of flowers?

For the set of data below, determine the 5 number summaries. Construct the resulting box and whisker plot.

5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 5

A survey on a gender and ear piercing for a large group of college students shows that19 out of 90 males and 84 out 88 females have ear piercings. What is the probability that from this sample, a student selected is a male with ear piercing? *

A certain population has a mean of 20 and a standard deviation of 8. Sample size 16 are taken for the purpose of sampling distribution. What is the expected value of all these sample means?

A shipment of five computers contains two that are defective. If a retailer receives three of these computers at random, list the elements of the sample space S using the letter D and N for detective and non-defective computers, respectively . To each sample point assign a value x of the random variable x representing the number of computers purchased by the retailer which is detective.

Statistics students believe that the mean score on the first statistics test is 65. A

statistics instructor thinks the mean score is higher than 65. He samples ten statistics

students and obtains the scores 65 65 70 67 66 63 63 68 72 71. The data are assumed

to be from a normal distribution.

Construct a 90% confidence interval for the mean scores

According to a certain​ country's department of​ education, 44.1​% of​ 3-year-olds are enrolled in day care. What is the probability that a randomly selected​ 3-year-old is enrolled in day​ care?

State whether the following statement is true or false and give reason in support of your answer

Non parametric tests are more powerful than the parametric tests.

State whether the following statement is true or false. Give reason in support of your answer.

(1) If the level of significance is the same, the area of the rejection region in a two tailed test is less than that in a one tailed test