(a) In this part of the question, you should calculate the requiredprobabilities using tables, not Minitab, and show your working. (Youmay use Minitab to check your answers, if you wish.)A model for normal human body temperature, X, when measuredorally in °F, is that it is normally distributed, X N (98.2, 0.5184).(i) According to the model, what proportion of people have a normalbody temperature of 99 °F or more?(ii) Find the normal body temperature such that, according to themodel, only 10% of people have a lower normal body temperature.(iii) Let W denote normal human body temperature, when measuredorally in °C. Given that W = (X - 32) and X N (98.2, 0.5184),what is the distribution of W?(iv) According to the model that you just derived for W, whatproportion of people have a normal body temperature of between36 °C and 36.8 °C?

Let X be the random variable that is the normal body temperature of people. Given that, X ~…

Answered: (i) According to the model, what…

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 u, and u, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 5, x = 115.1, s, = 5.05, n = 5, y = 129.2, and s, = 5.36. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) n USE SALT Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so narrow, it appears that precise information is available. o Because the interval is so wide, it appears that precise information is not available. o Because the interval is so narrow, it appears that precise information is not available. Because the interval is so wide, it appears that precise information is available. You may need to use the appropriate table in the Appendix of Tables to answer this question.
Women are recommended to consume 1760 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 16 women who participated in the study is shown below:1894, 1822, 1439, 1752, 1926, 1673, 1541, 1828, 1729, 1436, 1924, 1570, 1845, 1471, 1509, 1652Assuming that the distribution is normal, what can be concluded at the α= 0.10 level of significance? b. The null and alternative hypotheses would be: H0: H1:The test statistic = (please show your answer to 3 decimal places.) d. The p-value = ? (Please show your answer to 4 decimal places.) c.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
Suppose that replacement times for washing machines are normally distributed with a mean of μ=8.7 years and a standard deviation of σ=1.6 years. Find P25 the replacement time that separates the bottom 25% from the top 75%
Suppose that Xhas a normal distribution, Find E[ex].
Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7 years and a standard deviation of σ= 1.6 years. Find and graph P25 the replacement time that separates the bottom 25% from the top 75%.
Assuming the uniform distribution of deaths for each life, and given (i) q, = 0.039 (ii) qæy = 0.049. Calculate qx.
A population has mean u=30 and standard deviation o=7. (A) Find the z-score for a population value of 9. (B) Find the z-score for a population value of 51. (C) What number has a z-score of -2.3
A random sample of n1 = 20 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 11. For Englewood (a suburb of Denver), a random sample of n2 = 18 winter days gave a sample mean pollution index of x2 = 36. Previous studies show that ?2 = 15. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. a) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
QI/ Experimental data for the heat capacity in cal/(g.mol)(°C) as a function of temperature is given as follow: Temperature (C) 3 7. Heat capacity 19.65 26.74 32.80 37.74 41.75 45.06 47.83 Fit the data to an empirical heat-capacity equation of the form [C, = a + bT + b;T), and compute the standard deviation.
The ages of a random sample of motorcyclists when they were fatally injured in traffic crashes were recorded and tabled below: Age (in years) Below 16 1628 28 - < 40 40 - < 52 52 - < 64 64 - <76 B. 0.55 C. 0.44 Frequency 0 2 6 10 13 5 D. 0.50 Midpoints The relative frequency of motorcyclist's aged between 20 and 50 who were fatally injured in traffic crashes is (rounded off to two decimals): A. 0.38 22 34 46 58 70 Cumulative freq. 0 2 8 18 31 36
The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. H=2267 kWh VE o=574.7 kWh 2267 Kilowatt-hours 267 X 4267 (a) What consumption level represents the 6th percentile? (b) What consumption level represents the 17th percentile? (c) What consumption level represents the third quartile?

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