**Educational Content: Understanding Pulse Rate Distribution****Introduction**In this example, we explore the distribution of pulse rates among adult females, which are assumed to follow a normal distribution with a mean (μ) of 75.0 beats per minute and a standard deviation (σ) of 12.5 beats per minute.**Problem Statement**Complete the tasks below:**Part (a): Single Adult Female Pulse Rate**- If one adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute.- **Solution:** The probability is 0.48. (Round to four decimal places as needed.)**Part (b): Mean Pulse Rate of 25 Adult Females**- If 25 adult females are randomly selected, find the probability that their pulse rates have a mean less than 81 beats per minute.- **Solution:** The probability is [Blank]. (Round to four decimal places as needed.)**Part (c): Use of Normal Distribution**- Why can the normal distribution be used in part (b) even though the sample size does not exceed 30?**Options:**- A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.- B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.- C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.- D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.This exercise demonstrates the application of normal distribution principles to real-world scenarios, helping us understand how statistical measures can predict population behaviors.

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Answered: Assume that females have pulse rates…

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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Assume that females have pulse rates that are normally distributed with a mean of μ = 75.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the distribution of sample…
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per minute and 83 beats per minute. The probability is. (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 83 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O C.…
Assume that females have pulse rates that are normally distributed with a mean of µ = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the ormal distributio used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O C. Since the original population has a normal distribution, the…
Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per minute and a standard deviation of σ=12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79beats per minute. The probability is _____.(Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79beats per minute. The probability is ____. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the…
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Assume that females have pulse rates that are normally distributed with a mean of u=75,0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. ne a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. ent The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…
Assume that females have pulse rates that are normally distributed with a mean of µ = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 81 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 81 beats per minute. The probability is. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?. O A. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…
Assume that females have pulse rates that are normally distributed with a mean of µ= 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.50 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. O A. The probability of getting a reading between 1.50°C and 2.25°C is (Round to four decimal places as needed.) d Normal Table (Page 2) .00 Standard Normal (z) Distribution: Cumulative Area from the LEFT .5000 5398 5793 .6179 .6554 .6915 7257 .7580 7881 .8159 .8413 8643 .8849 .9032 9192 9332 9452 .9554 .9641 9713 9772 .9821 9861 0007 .01 5040 5438 5832 6217 .6591 z=1.50 z=2.25 6950 7291 .7611 7910 .8186 .8438 8665 8869 9049 9207 9345 9463 .9564 9649 .9719 9778 9826 9864 .02 5080 5478 5871 6255 6628 .6985 7324 7642 7939 .8212 8461 8686 8888 .9066 9222 9357 9474 .9573 9656…
Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ less than 125. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 125 is. (Type an integer or decimal rounded to four decimal places as needed.) Enter vour answer in the answer box. 33283, xlsx Exit Honorlock 22 MacBook Air 吕0 F2 F4 F5 F10 %23 2$ % & * 3 5 7 8 E Y U D F J K C V B M %S4

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