A random sample of 110 cars in the drive-thru of a popular fast food restaurant revealed that the average bill of $16.78 per car. Find the average bills for all cars from the drive-thru with 94% confidence. The standard deviation of the selected cars is $2.74.

The amount that people pay for their cellphone service is normally distributed with a mean of $136 with a standard deviation of $36.12.  Find the probability that a person pays between $120 and $145.

The weekly earnings of bus drivers are normally distributed with a mean of $395. If only 1.1 percent of the bus drivers have a weekly income of more than $429.35, what is the value of the standard deviation of the weekly earnings of the bus drivers?

Nationally, the per capita monthly fuel oil bill is $110. A random sample of 36 cities in the Southeast average $78, with a standard deviation of $4. Is the difference significant? Summarize your conclusions in a sentence or two.

Seven students on an intramural team weigh 179 ​lb, 177 ​lb, 174 ​lb, 185 ​lb, 167 ​lb, 186 lb and 220 lb. What is the standard deviation of the weights of these​ students?

A company pays their employees an average of $52,500 per year. If the standard deviation for the company salaries is $5,000, what proportion of employees earn more than $52,500 per year?

A successful basket ball player has a height of 6 feet 4 inches. Based on statistics his height converts to the z score 2.66. How many standard deviations in his height above the mean

A department store has daily mean sales of $ 28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z score.

The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffalo residents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation of the population (Boston residents) is 8.2 miles a day. Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston Residents Ho : 1 – H2 = 0 H : H1 - 42 0 At alpha = 0.05 what is your conclusion? 0.05 -3.6 0002 0002 0001 0001 .0001 .0001 000 0001 .0001 0001 0.01 0.02 0.04 0.06 0.07 0.09 0.00 0.03 0.08 -3.5 .0002 0002 .0002 0002 .0002 .0002 0002 .0002 .0002 0002 -3.4 0003 .0003 .0003 0003 .0003 0003 0003 0003 0003 0002 -33 0005 0005 0005 0004 .0004 .0004 0004 0004 0004 0003 -32 0007 -3.1 0010 .0007 0006 0006 .0006 .0006 0006 0005 .0005 0005 0009 .0009…

A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Before the new system was installed, the amount being spent on personal calls followed a normal distribution with an average of $400 per month and a standard deviation of $50. Find the point in the distribution below which 2.5% of these expenses fell. ROUND to the nearest WHOLE NUMBER.