69. a. Let a and b be constants and let y¡ = ax; + b fori = 1, 2, ..., n. What are the relationships between xand y and between s and s??rb. A sample of temperatures for initiating a certainchemical reaction yielded a sample average (°C) of87.3 and a sample standard deviation of 1.04. Whatare the sample average and standard deviation mea-sured in °F? [Hint: F = C + 32.]

a) Given that a and b are two constants. yi=axi+b i=1,2,...n The x is the sample mean and it is…

Answered: 69. a. Let a and b be constants and let…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s= 14.2 beats per minute. a. What is the difference between the pulse rate of 35 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 35 beats per minutes 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 35 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations, (Round to two decimal places as needed.) c. The z score is z=. (Round to two decimal places as needed.) d. The lowest pulse rate is
1. The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 76 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places where possible.A. Find the(IQR) for time spent at the hot springs.Q1, Q3 IRQ: minutes 2. The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.B. The middle 20% of American men consume between what two weights of sodium? Low___High____
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats perminute, the mean of the listed pulse rates is x=77.0 beats per minute, and their standard deviation is s=24.8 beats per minute. a. What is the difference between the pulse rate of 37 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 37 beats per minutes 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 37 beats per minute significant?
Assume that you have been provided the following information for a sample of cars The covariance between weight and miles per gallon is equal to -4.9 pound-miles. The standard deviation of the cars' mileages is 7.75. The standard deviation of the cars' weights is 0.94. Estimate the correlation coefficient to the first decimal place.
I1. Solve the protlem caretully. sketch the curve. 1. The daily income of bank audition in 555 Commercial Eank is normally distributed with a mean ef Pho 675 and a standard deviation et Php 45. What is the: value for the income of a bank auditor who earns Pho 700 daily? 2. Johnny scored 72 in a quiz in Algebra for which the average score of the class was 65 with a standard deviation of B. He aho took a quie in Statistics and scored 60 for which the average score of the class was 45, and the standand deviation was 12 Retative to other students in the class. did Johnny do better in Algebra er Statistics?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 beats per minute. a. What is the difference between the pulse rate of 38 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 38 beats per minutes 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 38 beats per minute significant?
Use the following information for the question. The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.Which of these statements is asking for a measurement (i. e. is an inverse normal question)? A.What percentage of people living and working in Kokomo have a travel time to work that is between thirteen and fifteen minutes? B.If 15% of people living and working in Kokomo have travel time to work that is below a certain number of minutes, how many minutes would that be?
After 4 points are added to every score in a distribution, the mean is calculated and found to be μ = 26. What was the value of the mean for the original distribution? A. 30 B. Cannot be determined from the information given C. 34 D. 22
3.1. Suppose that the height of the women is a normal variable with a mean of 1.62 meters (m) and a standard deviation of 24 centimeters. Calculate the percentage of women who measures (a) more than 1.70 m. (b) between 1.66 and 1.58 m. (c) less than 1.50 m. d) between 1.60 and 1.63 m.
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?
The following is a sample of sanitation scores for 20 cruise ships. Find the mean and standard deviation of the sanitation scores. 1. The mean of the sample data is (round your answer to 2 decimal places) 2. The standard deviation of the sample data is (round your answer to 2 decimal places) 3. Calculate the intervals x¯±s,x¯±2s,x¯±3s. (Round your answer to two decimal places) A. (x¯−s , x¯+s) = B. (x¯−2s , x¯+2s) = C. (x¯−3s , x¯+3s) =
A B. The mean blood cholesterol level for all men aged 20 to 34 years is p = 188 mg/dl with a standard devlation of a = 41 mg/dl. We suspect that the mean for cross-country runners is lower. A random sample of 20 cross-country runners yielded a mean level of 172 mg/di. SHOW YOUR FORMULAS AND ALL WORK ON THIS PAGE What is the standard deviation of the mean length X? Standard Deviation 41.0000

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