Suppose at random, 44% of school children develop nausea and vomiting following holiday parties and that you conduct a study to examine this phenomenon, with a sample size of n=29. What is the probability that between 9 and 29 children become sick?

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vinodbhati5576Lv2

11 Mar 2023

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A leading magazine (link Barron's) reported at one time that the average number of weeks an individual is unemployed is 29 weeks. Assume that the length of unemployment is normally distributed with a population mean of 29 weeks and the population standard derivation of 4 weeks. Suppose you would like to select a random sample of 16 unemployed individuals for a follow-up study. Round the answers of the following questions to 4 decimal places.

1. What is the distribution of XX? XX-N(,)

2. What is the distribution of "xx"? "xx"-N(,)

3. What is the probability that one randomly selected individual found a job for more than 27 weeks?

lemonmosquito768

Identify the population and the sample.

Determine whether the sample is biased or unbiased. Explain.

4. A restaurant would like to evaluate the efficiency of its workers. So observe the workers during the second shift.

5. At the end of the year, a math teacher decides to survey his students to determine what they liked best about his class. He users his first-period class as his sample.

6. An airport randomly inspects every 8'' suitcase that goes through security.

7. Mark would like to determine their exercise habits of students in his school. He surveys people on his frack team.

8. To determine how many students plan to attend the school musical, Kaitlyn surveys 100 random people in the hallway.

9. To track the movement of sharks along the east coast, one shark is chosen at random and tagged.

10. To determine how many homes in his neighborhood plan to hand out candy on Halloween, Jack chooses one street at random and surveys each household on that street.

11. To check lightbulbs for defects, 500 random bulbs from a certain production line are checked.

12. Suppose you would like to determine how many students have a cell phone at your school.

Given an example of a biased sample and an unbiased sample.

ceruleangoldfish802

MUST BE COMPLETED IN MINITAB

Module 3 Minitab Assignment

Instructions:

Below you will find questions. Please use the provided data to complete the tasks and to answer the questions.

Produce the probability histogram (probability distribution plot) of each of the following and state if the distribution is symmetric, skewed to the left, or skewed to the right.

The binomial distribution with n = 20 and p = 0.2.

The binomial distribution with n = 30 and p = 0.48

The binomial distribution with n = 15 and p = 0.8.

Suppose X is a binomial random variable with n = 35 and p = 0.67.

What is the probability that X is exactly 20?

What is the probability that X is at most 27?

What is the probability that X is at least 15?