# math statistics

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The average price of a gallon of unleaded regular gasoline was reported to be \$2.34 in northern Kentucky (The Cincinnati Enquirer, January 21, 2006). Use this price as the population mean, and assume the population standard deviation is \$.20.

1. What is the probability that the mean price for a sample of 30 service stations is within \$.03 of the population mean (to 4 decimals)?

2. What is the probability that the mean price for a sample of 50 service stations is within \$.03 of the population mean (to 4 decimals)?

3. What is the probability that the mean price for a sample of 100 service stations is within \$.03 of the population mean (to 4 decimals)?

4. Calculate the sample size necessary to guarantee at least .95 probability that the sample mean is within \$.03 of the population mean (0 decimals).

• math statistics -

# What is the probability that the mean price for a sample of 30 service stations is within \$.03 of the population mean (to 4 decimals)?
.5878

# What is the probability that the mean price for a sample of 50 service stations is within \$.03 of the population mean (to 4 decimals)?
.7108

# What is the probability that the mean price for a sample of 100 service stations is within \$.03 of the population mean (to 4 decimals)?
.8664

# Calculate the sample size necessary to guarantee at least .95 probability that the sample mean is within \$.03 of the population mean (0 decimals).
?

• math statistics -

What is the probability that the mean price for a sample of 30 service stations is within \$.03 of the population mean (to 4 decimals)?
.5878

# What is the probability that the mean price for a sample of 50 service stations is within \$.03 of the population mean (to 4 decimals)?
.7108

# What is the probability that the mean price for a sample of 100 service stations is within \$.03 of the population mean (to 4 decimals)?
.8664

# Calculate the sample size necessary to guarantee at least .95 probability that the sample mean is within \$.03 of the population mean (0 decimals).
?

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