Question

The mean speed of vehicles along a stretch of highway is 56 miles per hour with...

The mean speed of vehicles along a stretch of highway is 56 miles per hour with a standard deviation of 4 miles per hour.  You measure the speeds of three cars traveling along Route 440 as 62 miles per hour, 47 miles per hour, and 56 miles per hour.  Find the Z-score that corresponds to each speed.  What can you conclude?

Homework Answers

Answer #1

We have X : speed of vehicles has mean = 56 and standard deviation = 4

The Z score corresponding to speed X = 62 miles/hour

Z = (X - )/

Z = (62 - 56)/4

Z = 1.50

The Z score corresponding to speed X = 47 miles/hour

Z =(47-56)/4

Z = -2.25

The Z score corresponding to speed X = 56 miles /hour

Z = (56 - 56)/4

Z = 0

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of...
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 63 miles per hour and 73 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of...
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 51 miles per hour and 81 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately what % of vehicles travel between 51 miles per hour and 81 miles per hour.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of...
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 67 miles per​ hour, with a standard deviation of 3miles per hour. Estimate the percent of vehicles whose speeds are between 64miles per hour and 70miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)
The speeds for eight more vehicles are listed. The mean speed of a sample of vehicles...
The speeds for eight more vehicles are listed. The mean speed of a sample of vehicles along a stretch of highway is 67 miles per hour, with a standard deviation of 4 miles per hour determine which of the data entries are unusual. Are any of the data entries very unusual? Explain your reasoning. 70, 78, 62, 71, 65, 76, 82, 64
A construction zone on a highway has a posted speed limit of 40 miles per hour....
A construction zone on a highway has a posted speed limit of 40 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 45 miles per hour and a standard deviation of 5.6 miles per hour. Find the percentage of vehicles passing through this construction zone that are exceeding the posted speed limit. Round to four decimal places.
Thank you in advance! The District of Columbia Police Department are gathering highway speed data along...
Thank you in advance! The District of Columbia Police Department are gathering highway speed data along a section of the Capital Beltway to determine if the current speed limit is being followed. A radar speed detection device is used to measure the speeds of cars on the expressway. The speeds are normally distributed. The speed gun captures the speed of 6 vehicles as 80mph, 70mph, 100mph, 70mph, 80mph and 80mph. What is the mean of the speeds on the expressway...
Chief Grady wants to know whether the mean speed of vehicles on a particular stretch of...
Chief Grady wants to know whether the mean speed of vehicles on a particular stretch of Pat Bay Highway exceeds the posted speed limit of 90 km per hour. He has a sample of 35 car speeds with a mean speed of 93 km per hour and a sample standard deviation of 4 km per hour. Chief Grady wishes to estimate the true mean speed of all vehicles passing this stretch of Pat Bay Highway using a 95% confidence interval....
Assume the speed of vehicles along an open stretch of a certain highway in Texas that...
Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily traveled has an approximately Normal distribution with a mean of 71 mph and a standard deviation of 3.125 mph. The current posted speed limit is 65 mph. What is the proportion of vehicles going above the current posted speed limit? What proportion of the vehicles would be going less than 50 mph? What proportion of the vehicles would be going between...
use the empirical rule the main speed of a sample of vehicles along a stretch of...
use the empirical rule the main speed of a sample of vehicles along a stretch of highway is 63 mph with a standard deviation of 5 mph estimate the percent of vehicles his speeds are between 53 mph and 73 mph. (assume the data set has a bell shaped distribution) approximately ____% of vehicles travel between 53 mph and 73 mph
A highway construction zone has a posted speed limit of 40 miles per hour. Workers working...
A highway construction zone has a posted speed limit of 40 miles per hour. Workers working at the site claim that the mean speed of the vehicles passing through this constuction zone is at least 50 miles per hour. You think the workers claim is wrong and want to prove it. A random sample of 36 vehicles passing through this zone produced a mean speed of 48 miles per hour. The population standard deviation is known to be 4 miles...