Assume that the number of days from conception to birth is normally distributed with a mean of 273 days and a standard deviation of 5 days.What percentage of pregnancies last more than 43 weeks (301 days)?O 99.999998928241%1.07175902597234e-06%O-98.9999999979442%O 99.9997887545297%3.01092484278342e-11%

Given data normal distributionμ = 273 daysσ = 5 daysP(x>301 days) = ?

Answered: Assume that the number of days from…

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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Manatees are one creature found in coastal waterways. 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1050 lbs. This year, a random sample of 12 manatees were selected, the sample weights are: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assume the underlying distribution of manatee weights is normal, and population standard deviation o is unknown. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight decreases now. Solve the hypothesis using P-value method. Let a = 0.05. . Use the given sample data to calculate 90% confidence interval for true mean weight of manatees.
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 506 and a standard deviation of 95. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score between 411 and 601. www The percentage of people taking the test who score between 411 and 601 is%.
Suppose the total weight of passengers and luggage on an airline flight is normally distributed with mean 8914 and standard deviation 32 What is the 2.28th percentile of total passenger weight
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 506 and a standard deviation of 81. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score between 425 and 506. The percentage of people taking the test who score between 425 and 506 is 68 %.
Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 100 minutes and a standard deviation of 20 minutes. What proportion of 1040R tax forms will be completed in at least 105 minutes? Round your answer to at least four decimal places.
The shelf life of a photographic film is of interest to the manufacturer, whoobserves the following shelf life for eight units chosen at random from the currentproduction. Assume that shelf life is normally distributed – 108, 134, 124, 116, 128, 163, 159, 134 days. Is there any evidence that the mean shelf life is greater than to 125 days.
The length of human pregnancies from conception to birth berries according to a distribution that is approximately normal with a mean of 266 days in a standard deviation of 16 days. use 68-95-99.7 What percent of the pregnancy class between 250 and 298 days?
Bolts produced by a machine are acceptable provided that the length is within the range from 5.95 to 6.05 centimeters. Suppose that the bolts produced by the machine are normally distributed with a mean of 6 cm with a standard deviation of 0.02 cm. What percentage of bolts produced by the machine will be acceptable?
Assume the hold time of callers to a cable company is normally distributed with a mean of 4.2 minutes and a standard deviation of 0.9 minute. Determine the percent of callers who are on hold between 2.7 minutes and 5.9 minutes.
Is the following a null or an alternative hypothesis? Iced coffee tastes better than hot coffee.

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