3. The length of the thorax (where the wings and the legs attach) of the commonfruit fly in a population of male fruit flies is approximately Normal with mean0.800 millimeters (mm) and standard deviation 0.078 mm.(a) What proportion of flics have thorax length less than 0.65 mm?(b) What proportion of flics have thorax length greater than 0.95 mm?(c) What proportion of flies have thorax length between 0.65 mm and 0.95 mm?(d) What is the interquartile range (IQR) for this Normal distribution?

It is assume that the length of the thorax is denoted by X.The random variable X follows the normal…

Answered: 3. The length of the thorax (where the…

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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A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
8. Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.5 inches. a) Sketch a normal curve labeling the horizontal axis with appropriate values b) What percentage of women are taller than 65 inches? c) What percentage of women are shorter than 65 inches? d) What percentage of women are between 62.5 inches and 67.5 inches? e) What percentage of women are between 60 inches and 70 inches?
The distribution of heights of adult American men is approximately normal with a mean of 69 inches and a standard deviation of 2.5 inches. a. What percent of these men are at least 71.5 inches tall? b. What percent of these men are between 64 and 74 inches tall?
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
6. In an Oreo factory, the mean mass of a cookie is given as 40 g. For quality control, the standard deviation is 2 g. Cookies are rejected if they weigh more than 44 g or less than 36 g. How many cookies would you expect to be rejected in a sample of 10,000 cookies?
For the normal distribution of adult males in North America (mean=70.0 inches, standard deviation=4.0 inches), find the proportion of those who are a) under 65 inches b) over 76 inches c) between 67 and 73 inches
30. The distribution of weights for 12-month-old baby girls in the US is ap- proximately normal with mean u = 21 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old girl weighs 23.2 pounds, approximately what weight percentile is she in? b) If a 12-month-old girl is in the 16th percentile in weight, estimate her weight. c) Estimate the weight of a 12-month-old girl who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old girl who is in the 75th percentile by weight.
The mean cholesterol level for females in a population is 200 with a standard deviation of 25. Samples of size 64 are drawn from the population. A. What is the mean of the sample means? B. What is the standard error of the sample means?
For a data set of the pulse rates for a sample of adultfemales, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=23.1 beats per minute. a. What is the difference between the pulse rate of 33 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 33 beats per minute to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 33 beats per minute significant?
John Beale of Stanford, California, recorded the speeds of cars driving past his house, where the speed limit read 20 mph. The mean of 100 representative readings was 23.76 mph, with a standard deviation of 3.53 mph. a) How many standard deviations from the mean would a car going the speed limit be? b) Which would be more unusual, a car traveling 35 mph or one going 8 mph? a) A car traveling at the speed limit is from the mean. (Round to two decimal places as needed.) b) Choose the correct answer below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) OA. B. standard deviations O C. The car traveling 35 mph is more unusual. It is standard deviations from the mean, while the car traveling 8 mph is standard deviations from the mean. The car traveling 8 mph is more unusual. It is standard deviations from the mean, while the car traveling 35 mph is standard deviations from the mean. Both cars are equally unusual. Both cars are standard…

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