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1. A health journal found...

1. A health journal found that 56.3% of college students who lived in coed dormitories consumed alcohol weekly (compared with 26.5% who lived in single-sex dormitories). A random sample of 150 students who live in coed dormitories was selected. Complete parts a through d below.

a. What is the probability that more than 50% of the students in the sample consume alcohol weekly?

The probability is nothing.

(Round to four decimal places as needed.)

b. What is the probability that less than 65% of the students in the sample consume alcohol weekly?

The probability is nothing.

(Round to four decimal places as needed.)

c. What impact would changing the sample size to 100 have on the results in part a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The value of the probability increases. The new value of the probability is nothing.

(Round to four decimal places as needed.)

B.

The value of the probability decreases. The new value of the probability is nothing.

(Round to four decimal places as needed.)

C.

There is no change to the value of the probability.

d. Identify the symmetric interval that includes 95% of the sample proportions with a sample size of 150 if the true population proportion of students in coed dormitories who consume alcohol weekly is 56.3%.

%,%

(Round to one decimal place as needed. Use ascending order.)

2. A process produces strings of Christmas tree lights that historically have experienced a defective rate of 6%. A customer has placed an order for 140 strings of lights. Use the normal approximation to the binomial distribution to answer parts a through e.

a. Calculate the mean and standard deviation for this distribution.

The mean is nothing.

(Round to four decimal places as needed.)

The standard deviation is nothing.

(Round to four decimal places as needed.)

b. What is the probability that fewer than 3 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

c. What is the probability that exactly 8 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

d. What is the probability that 4, 5, or 6 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

e. What is the probability that 9, 10, or 11 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

a. What is the probability that more than 50% of the students in the sample consume alcohol weekly?

The probability is nothing.

(Round to four decimal places as needed.)

b. What is the probability that less than 65% of the students in the sample consume alcohol weekly?

The probability is nothing.

(Round to four decimal places as needed.)

c. What impact would changing the sample size to 100 have on the results in part a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The value of the probability increases. The new value of the probability is nothing.

(Round to four decimal places as needed.)

B.

The value of the probability decreases. The new value of the probability is nothing.

(Round to four decimal places as needed.)

C.

There is no change to the value of the probability.

d. Identify the symmetric interval that includes 95% of the sample proportions with a sample size of 150 if the true population proportion of students in coed dormitories who consume alcohol weekly is 56.3%.

%,%

(Round to one decimal place as needed. Use ascending order.)

2. A process produces strings of Christmas tree lights that historically have experienced a defective rate of 6%. A customer has placed an order for 140 strings of lights. Use the normal approximation to the binomial distribution to answer parts a through e.

a. Calculate the mean and standard deviation for this distribution.

The mean is nothing.

(Round to four decimal places as needed.)

The standard deviation is nothing.

(Round to four decimal places as needed.)

b. What is the probability that fewer than 3 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

c. What is the probability that exactly 8 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

d. What is the probability that 4, 5, or 6 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

e. What is the probability that 9, 10, or 11 strings in this order will be defective?

The probability is nothing.

(Round to four decimal places as needed.)

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