07 Jan Question A fair spinner contains

MATH225 Statistical Reasoning for the Health Sciences

Week 4 Assignment Probability Terminology and Notation

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

drawing 8 hearts

drawing 8 cards

drawing 1 card

drawing 3 kings

Question 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?

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 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?

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 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.

Mutually Exclusive

Not Mutually Exclusive

Independent

Dependent

Question 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?

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 A poll is conducted to determine if political party has any association with whether a person is for or against a certain bill. In the poll, 214 out of 432 Democrats and 246 out of 421 Republicans are in favor of the bill. Assuming political party has no association, the probability of these results being by chance is calculated to be 0.01. Interpret the results of the calculation.

We can expect that 246 out of every 421 Republicans are in support of this bill.

We cannot say the results are statistically significant at the 0.05 level.

At the 0.01 level of significance, political party is associated with whether a person supports this bill.

At the 0.01 level of significance, political party determines whether a person supports this bill.

Question 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?

one roll of the die

rolling at least one 5

ten rolls of the die

rolling a sum of 40

Question A fair spinner contains the numbers 1, 2, 3, 4, and 5. For an experiment, the spinner will be spun 5times. If Event A = the spinner lands on numbers all less than 3, what is an outcome of Event A?

a total sum less than 4

spinner lands on 1, 3, 1, 2, 1

a total sum of 11

spinner lands on 1, 2, 1, 2, 2