Choose the best answer. Multiple Choice.

1.A simple random sample of the weights of 19 green M&Ms has a mean of 0.8635 g. Assume that sample SD is known to be 0.0565 g. Determine the value of t if the mean weight of all green M&Ms is equal to 0.8535 g, which is the mean weight required so that M&Ms have the weight printed on the package label.*

none of these

0.7509

0.7715

0.7915

0.0751

2.A simple random sample of the weights of 19 green M&Ms has a mean of 0.8635 g. Assume that sample SD is known to be 0.0565 g. The mean weight of all green M&Ms is equal to 0.8535 g, which is the mean weight required so that M&Ms have the weight printed on the package label. Use a 0.05 significance level to determine the critical value.*

1.729

2.101

none of these

1.734

2.093

3.A simple random sample of the weights of 19 green M&Ms has a mean of 0.8635 g. Assume that sample SD is known to be 0.0565 g. Use a 0.05 significance level to test the claim that the mean weight of all green M&Ms is equal to 0.8535 g, which is the mean weight required so that M&Ms have the weight printed on the package label. Determine the conclusion.*

The mean weight of M&Ms is equal to 0.8535.

The mean weight of M&Ms is greater than0.8535.

The mean weight of M&Ms is lesser than0.8535.

none of these

The mean weight of M&Ms is not equal to 0.8535.

4.The trend of thinner Miss America winners has generated charges that the contest encourages unhealthy diet habits among young women. The mean BMI of the Miss America winners from the 1920 to 1930 is 20.3 while the mean BMI of the 10 recent winners is 18.8 with a sample SD of 2.4. Use a 0.05 significance level to test the claim that recent winners have a lower mean BMI than winners from the 1920s and 1930s. Determine the value of t.*

1.875

1.976

2.073

none of these

1.768

5.The trend of thinner Miss America winners has generated charges that the contest encourages unhealthy diet habits among young women. The mean BMI of the Miss America winners from the 1920 to 1930 is 20.3 while the mean BMI of the 10 recent winners is 18.8. Use a 0.05 significance level to test the claim that recent winners have a lower mean BMI than winners from the 1920s and 1930s. Which statement is FALSE.*

none of these

The critical value is 1.833.

The value for t falls on the rejection region.

We reject that the mean BMI of 10 recent winners is lower than the mean BMI of 1920s winner.

We accept that the mean BMI of 10 recent winners is lower than the mean BMI of 1920s winner.

1.Determine the type of probability of the given below.*

In the United States, 35% of the population has blue eyes (based on data from Dr. P. Sorita Soni at Indiana State University). We want to find the probability of getting exactly 2 people with blue eyes when 5 people are randomly selected.

Poisson Probability Distribution

Binomial Probability Distribution

None of the above

Uniform Distribution

2.Determine the type of probability of the given below.*

A newborn baby is considered to have a low birth weight if it weighsless than 2500 grams. Such babies often require extra care. Dutchess County, New York, hasbeen experiencing a mean of 210.0 cases of low birth weight each year.

Poisson Probability Distribution

Uniform Distribution

Binomial Probability Distribution

None of the above

3.A newborn baby is considered to have a low birth weight if it weighsless than 2500 grams. Such babies often require extra care. Dutchess County, New York, hasbeen experiencing a mean of 210.0 cases of low birth weight each year.

Uniform Distribution

Poisson Probability Distribution

Binomial Probability Distribution

None of the above

4.Determine the type of probability of the given below.*

If you have two blank dice, so that you can label the 12 faces with any numbers.

None of the above

Binomial Probability Distribution

Poisson Probability Distribution

Uniform Distribution

5.In a binomial probability distribution, the symbols p and q are used to represent probabilities. What is NOT true about the numerical relationship between p and q?*

None of these

The sum of probability p and q is equal to one.

The probability p and q are complementary.

The probability p and q are the probability of the events S and F where S and F are independent events.