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1. Irin was conducting some tests to determine if there was a relationship between consumption of diet soda and weight loss. Her null hypothesis was

1. Irin was conducting some tests to determine if there was a relationship between consumption of diet soda and weight loss. Her null hypothesis was that diet soda does not play any role in weight loss, and her alternate hypothesis was that diet soda causes an increase in weight.

If Irin completed her study, which of the following statements would indicate a Type I error?

a) Testing indicates diet soda causes no change in weight, when in reality it causes an increase in weight

b)Testing indicatesthat diet soda causes weight gain when in realitythere is no relationship between the two.

c)Testing indicatesthat a subject's weight affects his/her diet soda consumption, not the other way around.

d)Testing indicates that diet soda consumption and weight gain are related, but not in the way Irin originally thought.

2. Deon was searching through a list of movies on his streaming movie service and wanted to only look at movies that were rated 4 out of 5 stars or higher.

There are a total of 300 movies listed. If 40of those movies have ratings of 4 stars and 20have ratings of 5 stars, what is the probability that Deon will randomly select a movie with at least a 4-star rating?

a) 20/300

b) 40/300

c) 60/300

d) 240/300

3. Which statement is true regarding a 95% confidence interval?

a) A 95% confidence interval indicates that the null hypothesis will not be rejected 5% of the time.

b) A 95% confidence interval indicates that there is 95% certainty that a population mean lies in a given range of values.

c) A 95% confidence interval indicates that 95% of the data will not be related to the population mean.

d) A 95% confidence interval indicates that 5% of the data will always be rejected.

4. Clarice was in the process of creating a report on the performance of her students and was trying to determine the z-score related to overall student scores.

If the mean percentage of students was 75% and the standard deviation was 10%, what z-score would correspond to a student that ended the course with a 95%?

a) 1

b) 3

c) -1

d) -2

e) 2

f) -3

5. Which statement about dependent and independent events is FALSE?

a) The probability of a dependent event is determined by the outcome of a previous event.

b) To find the probability of two dependent events both occurring, you must use addition.

c) The probability of an independent event is the same, regardless of the outcome of a previous event.

d) To find the probability of two independent events both occurring, you must use multiplication.

6. Which statement regarding the region of rejection for a 5% significance level is TRUE?

a)A z-score higher than 2 is part of the region of rejection

b)The region of rejection indicates that the null hypothesis is true.

c)The region of rejection lies between the z-scores -2 and 2.

d) If a z-score falls within the region of rejection, it indicates that the alternative hypothesis may be valid.

7. Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance levelfor his test to help ensure that his patients do not receive too little or too much medication.

If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?

a) 0.45%

b)10.27%

c)45.69%

d) 92.18%

8. Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods in a metropolitan area. Based on national data, Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.Jean selected threeneighborhoods and determined the average income level.

What is the probability that the average income level in the neighborhoodswas less than $38,000?

a)84%

b) 90%

c)16%

d) 10%

9. Which statement is correct regarding a confidence interval for the mean?

a) A confidence interval is used to show the probability of the null hypothesis being true.

b) A confidence interval isused to approximate a likely value for the population mean.

c) A confidence interval is used to estimate a likely value for the standard deviation.

d)A confidence interval is used to estimate a likely value for asample mean.

10. What percent of a data set is represented by the total area under a normal distribution curve?

a) 25%

b)75%

c)100%

d) 50%

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