In a pharmaceutical company, the height measurements of lab benches are approximately normallydistributed with a mean of 53.3 inches, and standard deviation of 8 inches.A) What is the probability that a randomly chosen lab bench has a height of less than 59.3 inches? "Forvalue of 2 table round to 1 decimal place. It means for P(z<-2.045) find the value from z table for P(z< 2.0)and not Ps-2.05AnswerB) What is the probability that a randomly chosen lab bench has a height of more than 32.8 inches? "Forvalue of Z table round to 1 decimal place. It means for P(z<-2,045) find the value from z table for P(z<-2.0)and not P<-2.05Answer- Sketch the region corresponding to the statement P(Z < -1.6)Shade: Left of a value-3-1.5JClick and drag the arrows to adjust the values.0HDecals

Given problem is normal distribution Let X: Height measurement of lab benches Mean=μ=53.3 Standard…

Answered: In a pharmaceutical company, the height…

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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The brain volumes (cm³) of 20 brains have a mean of 1106.7 cm³ and a standard deviation of 126.2 cm³. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1309.1 cm³ be significantly high? Significantly low values are (Type an integer or a decimal. cm³ or lower. Do not round.) Significantly high values are cm³ or higher. (Type an integer or a decimal. Do not round.) Is 1309.1 cm³ significantly high? OA. Yes, because it is below the lower limit separating value. B. No, because it is above the upper limit separating value. OC. Yes, because it is between the limits separating values. O D. No, because it is between the limits separating values. OE. Yes, because it is above the upper limit separating value. OF. No, because it is below the lower limit separating value. ~
If X is a normally distributed random variable with a mean of 235 Findthe standard deviation given ?(? > 250) = 0.37 .
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Suppose the scores of students on an exam are Normally distributed with a mean of 522 and a standard deviation of 83. Then approximately 99.7% of the exam scores lie between the numbers such that the mean is halfway between these two integers. and ☐
Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 20 kg. What percentage of individual adult females have weights between 73 kg and 85 kg? If samples of 64 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 73 kg and 85 kg? The percentage of individual adult females with weights between 73 kg and 85 kg is 23.6 % (Round to one decimal place as needed.) The percentage of samples of 64 adult females with mean weights between 73 kg and 85 kg is (Round to one decimal place as needed.)
Leave all probabilities as percentages, define x on all problems with data. Simple random samples of high interest (8.9%) and low interest (6.3%) mortgages were obtained. For the 40 high interest mortgages, the borrowers had a mean FICO credit score of 594.8 and a standard deviation of 12.2. For the 40 low interest mortgages, borrowers had a mean FICO credit score of 785.2 and a standard deviation of 16.3. Use an alpha level of 0.01, and a two tailed test of hypothesis to test the claim that the mean FICO score borrowers with a high interest mortgage is the same as the mean FICO score of borrowers with the low interest mortgage.
Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.1 gdL. Research shows that exactly 95% of healthy females have a hemogoblin level of 16.1 gdL. What is the standard deviation of the distribution of hemoglobin levels and healthy females. Carry you intermediate computations to atleast four decimal places, and round your answer to at least two decimal places.
The brain volumes (cm³) of 20 brains have a mean of 1093.1 cm³ and a standard deviation of 120.6 cm³. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1284.3 cm³ be significantly high? Significantly low values are cm³ or lower. (Type an integer or a decimal. Do not round.) Significantly high values are 0cm³ (Type an integer or a decimal. Do not round.) Is 1284.3 cm³ significantly high? cm³ or higher. OA. Yes, because it is above the upper limit separating value. OB. No, because it is between the limits separating values. O C. No, because it is above the upper limit separating value. O D. Yes, because it is between the limits separating values. OE. Yes, because it is below the lower limit separating value. OF. No, because it is below the lower limit separating value.
Suppose that the weight of seedless watermelons is normally distributed with mean 6.9kg and standard deviation 1.9kg. Let X be the weight of a randomly selected seedless watermelon. Round to 4 decimal places. What is the median seedless watermelon weight?
In a random sample of 8 cell phones, the mean full retail price was $549.30 and the standard deviation was $182.00. Further research suggests that the population mean is $425.14. Does the t-value for the original sample fall between - to 95 and to 95? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t = fall between - to 95 and to 95 because to 95 (Round to two decima d.) does not does
The brain volumes (cm³) of 20 brains have a mean of 1113.7 cm³ and a standard deviation of 128.9 cm³. Use the give standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1361.5 cm³ be significantly high? 3 Significantly low values are cm³ or lower. (Type an integer or a decimal. Do not round.)
Assume that military aircraft use ejection seats designed for men weighing between 137.1 lb and 202 lb. If women's weights are normally distributed with a mean of 163.2 lb and a standard deviation of 42.8 lb, what percentage of women have weights that are within those limits? Are many women excluded with those specifications? The percentage of women that have weights between those limits is nothing%. (Round to two decimal places as needed.) Are many women excluded with those specifications? A. yes, the percentage of women who are excluded, which is the complement of the probability found previously shows that about half of women are excluded B. YES, the percentage of women who are excluded, which is equal to the probability found previously shows that about half of women are exluded c. no, the percentage of women who are excluded which is the complement of the probability found previosly shows that very few women are excluded D. no, the percentage of women…

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