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# (Solved) MATH225 Week 4 Assignment Probability Terminology and Notation

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Question

A survey was conducted to see whether age has an association with the belief that a masterâ€™s degree or higher provides an advantage in oneâ€™s career. Of theÂ 524Â adults between the ages ofÂ 22Â andÂ 25Â surveyed,Â 56%Â believed that a masterâ€™s degree has value in a personâ€™s career path. Of theÂ 458Â adults surveyed between the ages ofÂ 40Â andÂ 45,Â 52%Â also believed that a masterâ€™s degree has value in a personâ€™s career path. Assuming age is not associated with this belief, the probability of the data being the result of chance is calculated to beÂ 0.21. Interpret this calculation.

• We can expectÂ 56%Â of all adults between the ages ofÂ 22Â andÂ 25Â to believe a masterâ€™s degree or higher provides an advantage in oneâ€™s career.
• The data is statistically significant at theÂ 0.05Â level of significance in showing that age has an association with the belief that a masterâ€™s degree or higherÂ provides an advantage in oneâ€™s career.
• Age does not have any association with the belief that a masterâ€™s degree or higher provides an advantage in oneâ€™s career.
• The data are not statistically significant at theÂ 0.05Â level of significance in showing that age has an association with the belief that a masterâ€™s degree or higher provides an advantage in oneâ€™s career.

Question

A recent study was conducted to determine the concentration of lead in drinking water across various states.Â 25Â water samples from the state of Washington were tested; the mean lead concentration was found to beÂ 0.15%. This compares toÂ 32Â water samples in the state of Minnesota where the mean was reported to beÂ 0.21%. The data was calculated to be significant at theÂ 0.0001Â level. Determine the meaning of this significance level.

• At theÂ 0.0001Â level of significance, the concentration of lead is higher in water from Minnesota.
• It is not unusual to see aÂ 0.15%Â concentration of lead in drinking water because lead in drinking water is highly regulated.
• We can expect that anyÂ 32Â water samples from Minnesota will have an average lead concentration ofÂ 0.21%.
• It is certain that drinking water in Minnesota has a higher lead concentration than drinking water in Washington.

Question

Which of the following gives the definition of trial?

• a particular result of an experiment
• one specific execution of an experiment
• a planned activity carried out under controlled conditions
• the set of all possible outcomes of an experiment

Question

The mean body temperature of a human is accepted to beÂ 98.6âˆ˜F. In a study, the body temperatures ofÂ 127Â individuals were measured. The mean body temperature of the individuals was calculated to beÂ 99.0âˆ˜F. Assuming the regular body temperature of humans is actuallyÂ 98.6âˆ˜F, the probability of these results occurring by chance is less thanÂ 0.01. Interpret the results of the calculation.

• We can expect that the mean body temperature of anyÂ 127Â individuals isÂ 99.0âˆ˜F.
• The mean body temperature of humans is notÂ 98.6âˆ˜F.
• At theÂ 0.01Â level of significance, the mean body temperature of humans is notÂ 98.6âˆ˜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 isÂ 100g. To test this claim, he measures the mass ofÂ 150Â apples that are grown in his orchard and determines the average mass per apple to beÂ 98g. The results are calculated to be statistically significant at theÂ 0.01Â level. What is the correct interpretation of this calculation?

• The data are not statistically significant at theÂ 0.05Â level.
• The mean mass of anyÂ 150Â apples grown in the farmer’s orchard isÂ 98g.
• At theÂ 0.01Â level of significance, the mean mass of the apples grown in the farmer’s orchard is different fromÂ 100g.
• At theÂ 0.01Â level of significance, the mean mass of the apples grown in the farmer’s orchard isÂ 98g.

Question

TrialÂ bestÂ 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 drawÂ 8Â cards from a standardÂ 52-card deck with replacement. Which of the following are not events in this experiment?

Select all that apply:

• drawingÂ 8Â hearts
• drawingÂ 8Â cards
• drawingÂ 1Â card
• drawingÂ 3Â kings

Question

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

• Yes, the probability of the results occurring is less thanÂ 0.05.
• No, the probability of the results occurring is less thanÂ 0.05.
• Yes, the probability of the results occurring is greater thanÂ 0.05.
• No, the probability of the results occurring is greater thanÂ 0.05.

Question

A standard roulette wheel with slots labeledÂ 0,Â 00,Â 1,Â 2,Â 3, â€¦ ,Â 36Â is spunÂ 60Â times. Of these spins, the numberÂ 7Â is spunÂ 7Â times. Assuming the wheel is fair, the probability of this occurring by chance isÂ 0.00001. Do these results have statistical significance at theÂ 0.01Â level of significance?

• No, the probability of the results occurring is greater thanÂ 0.01.
• Yes, the probability of the results occurring is less thanÂ 0.01.
• No, the probability of the results occurring is less thanÂ 0.01.
• Yes, the probability of the results occurring is greater thanÂ 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 dieÂ 10Â times in which she will record the value of each roll. What is a trial of this experiment?