# (Solution) Math 225N Week 4 Assignment Probability Terminology and Notation

Week 4 Assignment Probability Terminology and Notation

Question

The mean body temperature of a human is accepted to be 98.6∘F. In a study, the body temperatures of 127 individuals were measured. The mean body temperature of the individuals was calculated to be 99.0∘F. Assuming the regular body temperature of humans is actually 98.6∘F, the probability of these results occurring by chance is less than 0.01. Interpret the results of the calculation.

We can expect that the mean body temperature of any 127 individuals is 99.0∘F.

The mean body temperature of humans is not 98.6∘F.

At the 0.01 level of significance, the mean body temperature of humans is not 98.6∘F.

Since human body temperature varies, the results of this study are not unusual.

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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

Trial best fits which of the following descriptions?

a particular result of an experiment

a subset of the set of all outcomes of an experiment

one repetition or instance of an experiment

the set of all possible outcomes of an experiment

Question

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:

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 all that apply:

• Mutually Exclusive
• Not mutually exclusive
• Independent
• Dependent

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

Solution:

Question

The mean body temperature of a human is accepted to be 98.6∘F. In a study, the body temperatures of 127 individuals were measured. The mean body temperature of the individuals was calculated to be 99.0∘F. Assuming the regular body temperature of humans is actually 98.6∘F, the probability of these results occurring by chance is less than 0.01. Interpret the results of the calculation.

We can expect that the mean body temperature of any 127 individuals is 99.0∘F.

The mean body temperature of humans is not 98.6∘F.

At the 0.01 level of significance, the mean body temperature of humans is not 98.6F.

Since human body temperature varies, the results of this study are not unusual.

FEEDBACK

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?