Suppose that a highway safety researcher is studying the design of a highway sign and is interested in the meandistance at which drivers are able to read the sign.A random sample of 16drivers shows a sample mean of x-bar = 481feet and a standard deviation of s =96feet.We can assume that the distances at which people can read the sign are normally distributed.What is the95%confidence interval for the population mean?

Round your answer totwodecimal places.

Enter the lower limit here:

Enter the upperlimit here:

Consider the following two data sets.

Data Set A: 10, 10, 10, 10, 10

Data Set B: 5, 9, 10, 11, 15

The standard deviation of data set A is

equal to

greater than

less than

none of the above

the standard deviation of data set B.

Max has the following scores in his history class:

Quiz 1: 84

Quiz 2: 92

Midterm: 87

Homework: 85

Final Exam:89

Ifquizzesareworth10%each, the midterm is worth 30%, homework is worth 15% and the final is worth 35%, what is Max's overall score in the class?

Round your answer toonedecimal place, if necessary.

Assume people are equally likely to be born in any of the 12months.

What is the probability that two randomly selectedpeople are both born in the same month?

Round your answer tofourdecimal places,if necessary.

Suppose the time that a person spends waiting in line at a grocery store is uniformly distributed with wait times between 0and 25minutes.

What is the probabilitythat someone waits less than 5 minutes?

Round your answer tofourdecimal places, if necessary

Suppose that yearly rainfall amounts for a city in northern California follow a normal distribution,with a mean of18inches and a standard deviation of6inches.

What is the probability that in agiven year,the citywill receive between 20and 21inches of rain?

Round your answer tofourdecimal places.

Suppose that yearly rainfall amounts for a city in northern California follow a normal distribution,with a mean of18inches and a standard deviation of6inches.

What is the probability that in agiven year,the citywill receive more than12inches of rain?

Round your answer tofourdecimal places.

Suppose that yearly rainfall amounts for a city in northern California follow a normal distribution,with a mean of18inches and a standard deviation of6inches.

What is the probability that in agiven year,the citywill receive less than13inches of rain?

Round your answer tofourdecimal places.

Suppose that yearly rainfall amounts for a city in northern California follow a normal distribution,with a mean of18inches and a standard deviation of6inches.

What is the probability that for a randomsample of10years, the meanrainfall thecity receives is less than 21 inches?

Round your answer tofourdecimal places.

Two standard six-sided dice are thrown.What is the probability that the sum is at least 4?

Round your answer tofourdecimal places, if necessary.