The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.2 miles pergallon. (a) What proportion of hybrids gets over 61 miles per gallon? (b) What proportion of hybrids gets 50 miles per gallon or less? (c) What proportion of hybrids gets between 58and 62 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 46 miles per gallon?Click the icon to view a table of areas under the normal curve.(a) The proportion of hybrids that gets over 61 miles per gallon is(Round to four decimal places as needed.)

Answered: The mean gas mileage for a hybrid car…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is more than $35,000?
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 40 farm-raised trout is selected. The mean fat content for the sample is 30.2 grams per pound. Find the probability of observing a sample mean of 30.2 grams of fat per pound or less in a random sample of 40 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Check esc 23 2$ 5 2 e r t y tab
A soft drink machine outputs a mean of 2525 ounces per cup. The machine's output is normally distributed with a standard deviation of 44 ounces. What is the probability of overfilling a 3030 ounce cup? Round your answer to four decimal places.
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000?
Infant birth weights are normally distributed with a mean of 8 pounds and a standard deviation of 0.8 pounds. What is the probability of infants will weigh between 8.8 and 9.6 pounds
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is greater than 295.
The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 30 and a standard deviation of 1. What is the probability that the MPG for a randomly selected compact car would be less than 28?
3 In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6℉ with a standard deviation of 0.72 ℉. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 ℉. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the standard error? (round to nearest hundredth) What is the Z obt? (round to the nearest tenth)

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