[Solved] MATH225N Week 4 Assignment: Probability Terminology and Notation

Question 1

Arianna will roll a standard die 10 times in which she will record the value of each roll. What is a trial of this experiment?

Ans:

one roll of the die

rolling at least one 5

ten rolls of the die

rolling a sum of 40

Question 2

Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?

Select two answers.

Ans:

Question 3

A standard roulette wheel with slots labeled 0, 00, 1, 2, 3, … , 36 is spun 60 times. Of these spins, the number 7 is spun 7 times. Assuming the wheel is fair, the probability of this occurring by chance is 0.00001. Do these results have statistical significance at the 0.01 level of significance?

Ans:

No, the probability of the results occurring is greater than 0.01.

Yes, the probability of the results occurring is less than 0.01.

No, the probability of the results occurring is less than 0.01.

Yes, the probability of the results occurring is greater than 0.01.

Question 4

A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?

Ans:

The data are not statistically significant at the 0.05 level.

The mean mass of any 150 apples grown in the farmer’s orchard is 98g.

At the 0.01 level of significance, the mean mass of the apples grown in the farmer’s orchard is different from 100g.

At the 0.01 level of significance, the mean mass of the apples grown in the farmer’s orchard is 98g.

Question 5

Patricia will draw 8 cards from a standard 52-card deck with replacement. Which of the following are not events in this experiment? Select all that apply.

Ans:

drawing 8 hearts

drawing 8 cards

drawing 1 card

drawing 3 kings

Question 6

Which of the following gives the definition of event?

Ans:
the set of all possible outcomes of an experiment

a subset of the set of all outcomes of an experiment

a planned activity carried out under controlled conditions

one specific execution of an experiment

Question 7

A hospital takes record of any birth that occurs there every day. On one day, the hospital reports that 35 of the 62 babies born were girls. Assuming that all of the parents did not have any gender selection procedures, there is a probability of 0.31 of getting these results by chance. Do these results have statistical significance at the 0.05 level of significance?

Ans:

Yes, the probability of the results occurring is less than 0.05.

No, the probability of the results occurring is less than 0.05.

Yes, the probability of the results occurring is greater than 0.05.

No, the probability of the results occurring is greater than 0.05

Question 8

A survey was conducted to see whether age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Of the 524 adults between the ages of 22 and 25 surveyed, 56% believed that a master’s degree has value in a person’s career path. Of the 458 adults surveyed between the ages of 40 and 45, 52% also believed that a master’s degree has value in a person’s career path. Assuming age is not associated with this belief, the probability of the data being the result of chance is calculated to be 0.21. Interpret this calculation.

Ans:

We can expect 56% of all adults between the ages of 22 and 25 to believe a master’s degree or higher provides an advantage in one’s career.

The data is statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career.

Age does not have any association with the belief that a master’s degree or higher provides an advantage in one’s career.

The data are not statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career.

 

Solution

Question 1

Arianna will roll a standard die 10 times in which she will record the value of each roll. What is a trial of this experiment?

Ans:

one roll of the die

rolling at least one 5

ten rolls of the die

rolling a sum of 40………………please follow the link below to purchase the solution at $5