Answers NC-Math 4Sampling Distribution of the Sample Mean

Sampling Distribution of the Sample Mean — Unit test Answers

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In bags of Happy Trail Mix, the number of raisins is skewed left with a mean of 33.6 and a standard deviation of 8.4, while in bags of a generic trail mix, the number of raisins is skewed right with a mean of 28.8 and a standard deviation of 12.7. What is the probability in a sample of 17 randomly selected Happy Trail Mix bags and a sample of 17 randomly selected generic bags that the mean number of raisins in the Happy Trail Mix is more than the mean number of raisins in the generic mix?

approximately 0

0.0968

0.8219

0.9032

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At a local veterinary office, 48% of dogs get their teeth cleaned, while 35% of cats get their teeth cleaned. Let and be the sample proportions of dogs and cats at this veterinary office, respectively, who get their teeth cleaned. Suppose 25 dogs and 32 cats from this veterinary office are selected at random to collect data on their teeth-cleaning history.Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ?

The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.003 from the true difference in proportions.

The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.017 from the true difference in proportions.

The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

The difference (dogs – cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.131 from the true difference in proportions.

The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ?

skewed right since the populations are both right skewed

skewed right since the differences in salaries cannot be negative

approximately Normal since both sample sizes are greater than 30

approximately Normal since the sum of the sample sizes is greater than 30

A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions.Session A: $50Session B: $50Session C: $100Session D: $150Session E: $200

$50

$66.67

$100

$200

A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean of the contents of the 50 bottles is 20.25 ounces. The manager of the company requests that the machines be recalibrated because bottles coming off the production line are supposed to contain 20 ounces. Which of the following statements is true?

20 is a statistic and 20.25 is a statistic.

20 is a statistic and 20.25 is a parameter.

20 is a parameter and 20.25 is a statistic.

20 is a parameter and 20.25 is a parameter.

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Sampling Distribution of the Sample Mean — Unit test Answers

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