### Understanding Normal Distribution: Body Mass Index (BMI) Analysis#### Data Set:The following data represents the body mass index (BMI) of a group of men. We aim to determine whether it follows a normal distribution. The requirement for this is relaxed to allow for a distribution that is essentially symmetric with only one mode, rather than strictly normal.- Data Set: 28.6, 21.4, 23.8, 27.4, 33.5, 26.1, 22.8, 24.2, 25.8, 24.6, 25.1, 26.3, 26.8, 23.5, 26.7, 20.6, 19.3, 27.8, 32.2, 30.8#### Question:Is the requirement of a normal distribution satisfied for this data set?#### Multiple Choice Answers:1. **A.** Yes. The points in the normal quantile plot exhibit some systematic pattern that is not a straight-line pattern.2. **B.** Yes. The points in the normal quantile plot lie reasonably close to a straight line.3. **C.** No. The histogram of the data is not bell-shaped. There is also more than one outlier.4. **D.** No. The points in the normal quantile plot do not lie close to a straight line.### Explanation:To assess if the given set of BMIs adheres to a normal distribution, we can utilize graphical tools such as histograms, normal quantile plots (Q-Q plots), and statistical metrics including skewness and kurtosis. A normal distribution typically appears as a bell-shaped curve on a histogram and points should lie close to a straight line in a Q-Q plot if the distribution is normal. In this educational illustration, the available choices focus on patterns observed in these graphical tools to determine normality.Students are encouraged to plot the given data themselves to visualize and determine the most fitting option.

Given , data - 28.6 , 21.4 , 23.8 , 27.4 , 33.5 , 26.1 , 22.8 , 24.2 , 25.8 ,24.6 , 25.1 , 26.3 ,…

Refer to the data set below (body mass index of men) and determine whether the requirement of a normal distribution is satisfied. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is basically symmetric with only one mode. 28.6 21.4 23.8 27.4 33.5 26.1 22.8 24.2 25.8 24.6 25.1 26.3 26.8 23.5 26.7 20.6 19.3 27.8 32.2 30.8 D Is the requirement of a normal distribution satisfied?

Refer to the data set below (body mass index of men) and determine whether the requirement of a normal distribution is satisfied. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is basically symmetric with only one mode. 28.6 21.4 23.8 27.4 33.5 26.1 22.8 24.2 25.8 24.6 25.1 26.3 26.8 23.5 26.7 20.6 19.3 27.8 32.2 30.8 D Is the requirement of a normal distribution satisfied?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The table below shows the frequency distribution of the rainfall on 52 consecutive Wednesdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Class 0-0.19 0.20 -0.39 0.40 -0.59 0.60 -0.79 0.80 -0.99 1.00-1.19 1.20 - 1.39 Frequency 21 10 6 3 7 4 1 Choose the correct histogram below. O A. O B. O C. 30- 20 10- 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 30- 20- 104 0-F 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 30 20- 10- 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Q Q Q G Q Q M
The figure shows population density (people per square mile) for all states of a certain country. The states are divided into four geographical regions: A, B, C, and D. Answer the questions below. D- 0 100 200 300 400 500 600 700 800 900 1000 1100 People per Square Mile Why is it best to compare medians and interquartile ranges for these data, rather than comparing means and standard deviations? OA. These data are fairly symmetric and do not have outliers, and the median and interquartile range provide more reliable information in these circumstances. B. Some of these data have outliers and/or are skewed, and the median and interquartile range amplify the effects of outliers and skewness. OC. Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers. OD. Some of these data have vastly different centers, and the median and interquartile range provide more reliable information in these circumstances. List the approximate median…
Refer to the data set below (body mass index of men) and determine whether the requirement of a normal distribution is satisfied. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is basically symmetric with only one mode. 28.1 26.7 25.9 33.3 27.3 26.2 26.3 27.8 24.8 32.1 30.8 22.9 21.9 25.2 23.8 26.9 19.9 20.6 24.4 23.4 Is the requirement of a normal distribution satisfied? A. Yes. The points in the normal quantile plot exhibit some systematic pattern that is not a straight-line pattern. B. No. The histogram of the data is not bell shaped. There is also more than one outlier. C. Yes. The points in the normal quantile plot lie reasonably close to a straight line. D. No. The points in the normal quantile plot do not lie close to a straight line.
From the data below, find the a. mean b. median c.mode d. range e.variance and f.standard deviation of the frequency distribution
Relative Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results. Height (cm) Frequency D 130–144 23% 145–159 24% 160–174 21% 175–189 26% 190–204 28% ..... Select all that apply. A. The relative frequencies were recorded as percents instead of counts. B. All of the relative frequencies appear to be roughly the same. If they are from a normal distribution, they should start low, reach a maximum, and then decrease. C. All of the relative frequencies are different. If they are from a normal distribution, they should all be exactly the same. D. The classes do not allow for the possibility that an adult male could be between 144 cm and 145 cm tall, or between 159 cm and 160 cm tall, and so on. E. The sum of the relative frequencies is 122%, but it should be 100%, with a small possible…
I would need help with this question: Here is a data set that has a nearly normal distribution. data data data data 55.9 64 49.79 44.2 56.57 55.28 59.29 56.69 59.53 42.88 56.04 46.27 57.89 59.85 48.11 41.81 42.85 46.69 47.21 63.78 49.24 37.16 41.88 61.23 43.98 58.43 42.95 59.56 54.98 53.26 35.85 48.28 47.84 36.03 48.12 60 52.94 39.82 67.77 65 In building a GFDT for this data set, you need to know how many values are in the class from 60 to 65. You decided that each class will include the lower class limit, but not the upper class limit. So, how many values are there in the interval [60,65)? What is the frequency?
A developer collects a random sample of the ages of houses from two neighborhoods and finds that the summary statistics for each are as shown. Test the hypothesis that the mean age of houses in the two neighborhoods is the same. Assume that the ages of houses in each neighborhood follow a Normal distribution. Complete parts a through c below. Neighborhood 1 Neighborhood Z n₁ = 40 = 54.6 2 = 35 S₁ = 7.88 Y2=41.3 $2 = 7.61 t=7.43 a) Calculate the P-value of the statistic given that the approximation formula for degrees of freedom gives df = 72.3. The P-value is 0. (Round to three decimal places as needed.) b) Calculate the P-value of the statistic using the rule that df = min(n₁-1, n₂-1). The P-value is (Round to three decimal places as needed.)
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a= 0.10, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. 1 2 22.7 21.6 20.6 20.6 21.7 22.9 21.3 20.9 19.9 20.2 20.6 21.7 Mouse 3 4 56o Weight (before) Weight (after) (a) Identify the claim and state Ho and H, What is the claim? O A. Weight loss causes pneumonia in mice. O B. Pneumonia causes weight gain in mice. Yc. Pneumonia causes weight loss in mice. O D. Weight gain causes pneumonia in mice. Let Ha be the hypothesized mean of the difference in the weights (before - after). What are Ho and H,? O A. Ho: Hg s0 H H >0 OB. Ho: Ha sd OC. Ho: Ha0 OF. Ho: Hg zd OE. Ho: Ha =0 H Hg #0 OD. Ho: Ha0
a single question with sub-parts. Answer them all step by step, please. thank you
The table below shows the frequency distribution of the rainfall on 52 consecutive Tuesdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Class 0-0.19 0.20 -0.39 0.40 -0.59 0.60-0.79 0.80 -0.99 1.00-1.19 1.20-1.39 Frequency 22 13 4 1 5 6 1 Choose the correct histogram below. OA. OB. O C. 30- 20- 10- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 30- 20- 10- 0+ 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 30- 20- 10- 0+ 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Q Q Q Do the data appear to have a distribution that is approximately normal? O A. No, it is approximately uniform. OB. No, it is not symmetric. OC. No, it has no obvious maximum. O D. Yes, it is approximately normal.
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a = 0.10, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. 1 2 22.7 21.6 20.6 20.6 21.7 22.9 21.3 20.9 19.9 20.2 20.6 21.7 Mouse 3 4 56 e Weight (before) Weight (after) (a) Identify the claim and state Ho and H. What is the claim? O A. Weight loss causes pneumonia in mice. O B. Pneumonia causes weight gain in mice. O C. Pneumonia causes weight loss in mice. O D. Weight gain causes pneumonia in mice.