Normal Distribution and Sampling Distributions

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. A school district has 180 incoming kindergarten children.

The mean of the sampling distribution (for proportions of vaccinated children) would be _____.

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. A school district has 180 incoming kindergarten children.

The standard deviation of the sampling distribution (for proportions of vaccinated children) would be _____.

(Round answers to three or four decimal places.)

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. A school district has 180 incoming kindergarten children.

Which of the following is true concerning the shape of the sampling distribution?

• The sampling distribution is normal because n > 30

• The sampling distribution is not normal because nq is < 30

• The sampling distribution is normal because 10% of 180 is > 10

• The sampling distribution is normal because np and nq are both > 10

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated.

Find the z-score associated with a sample of 180 children in which 162 have been vaccinated.

• -1.34

• 1.34

• .0901

• .9099

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated.

Find the probability that a sample of 16 children would have fewer than 14 vaccinated.

• -1.34

• 1.34

• .0901

• .9099

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.

The mean of the sampling distribution for average taxi fare where the sample size is 25 is _____.

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.

The standard deviation of the sampling distribution for average taxi fare where the sample size is 25 is _____.

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.

Which of the following is true of the shape of the sampling distribution?

• The sampling distribution is normal because n < 30

• The sampling distribution is not normal because n < 30

• The sampling distribution is normal even though n < 30 because the population is stated to be normal

• The sampling distribution is normal because both np and nq are > 10

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.

Your best friend just got back from New York and says she had a taxi fare of $25.00. What is the z-score that would correspond to his/her taxi fare?

• -1.14

• 1.14

• -5.68

• 5.68

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.

The sample of 25 tourists reported an average taxi fare of $23.20. What is the z-score that corresponds to this amount?

• -0.318

• 0.318

• -1.59

• 1.59