he overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 208.40 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 193.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

he overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 208.40 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 193.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 8E

See similar textbooks

Related questions

Q: question 17 part 2 The amount of coffee that people drink per day is normally distributed with a…

Q: What is the graph of the solution?

A: Regression are used to predict the value over the period of time. It is calculated by the combined…

Q: During a barangay census, the following information was acquired. 15 children out of 23 are…

Q: 8. From the following data, you calculate A.M. by step- deviation method. Marks 0- 10- 20- 30- 40-…

Q: From a pharmaceutical study, 18% of adults who take placebos suffered side effects and 82% did not…

A: reported side effects reported no side effects observed counts 51 274 Expected counts…

Q: 6. Find A.M. of the following data. Wages 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 No. of 63.…

Q: Please help me with this. The question is what is the difference between a population, a census, and…

A: Population Census Sample The population is measurable quality is called as parameter. A…

Q: Using the normal distribution andt the z - table prove the critical values of the commonly used…

A: Given: confidence coefficient, c= 99%

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…

A: Given that, μ=2.63,σ=0.03,n=9 The mean of sampling distribution of sample mean is, (a) The standard…

Q: c. What is the p-value associated with the test? p-value = 0.12 O p-value = 0.009 O p-value = 0.008…

A: Given that Alive Died Total Present 24 52 76 Absent 126 133 259 Total 150 185 335…

Q: Question 3: Using Microsoft Excel: (Excel file Assignment10.xlsx) a. Calculate the mean and sample…

A: Given data indicates the death rate per 100,000 people per state and Donald Trump's share of the…

Q: Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose…

A: Formula : Test statistic

Q: where is the 500 coming from when finding the expected frequency?

A: From the given information,

Q: 2. An election was held, with the results shown in the table below. • first-place votes are # of…

A: Given, A table according to preferences for voters We have to find out winner With, 1 plurality 2…

Q: 6. An external review team examines an ordered random sample of 14 Wossamotta U employee salaries…

A: The question is about central tendency and identifying outliers Given : Salaries of employees ( in…

Q: Surfer Dude Swimsuit Company plans to produce a new line of quick-dry swimsuits. Five textile…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: 1. The incidence of cancer among phosphate mine workers and their exposure to radiation was…

A: The following information has been given: Observed Frequencies YES NO Total 0-29 WLM 20 40 60…

Q: Which of the sections had the most variance in the scores?

A: Given: Section Mean Standard deviation English 20.3 6.8 Math 20.7 5.4 Reading 21.4 6.5…

Q: A. Since the p-value is large, there is a significant difference. B. Since the p-value is large,…

A: From the we are given that 2-proportion test p1≠p2 z=0.73175372 p-value=0.46431890 level of…

Q: the numbers of touchdown passes that peyton manning threw in each of his 13 seasons with the…

Q: 4. 4. The decision is A. Acceptance H, B. Rejection Ho

Q: Salaries of 33 college graduates who took a statistics course in college have a mean, x, of…

Q: what is the test statistic

Q: (a) State the null hypothesis Ho and the alternative hypothesis H,. H, :0 H :0 (b) Determine the…

Q: A data set about speed dating includes "like" ratings of male dates made by the female dates. The…

A: Given,sample size(n)=189sample mean(x¯)=6.59sample standard deviation(s)=2.06α=0.1 degrees of…

Q: A multiple choice quiz has 10 questions. Each question has 5 possible answers of which only one is…

A: Given that A multiple choice quiz has 10 questions. Each question has 5 possible answers of which…

Q: If X1, X2, ... , X, constitute a random sample of size from a population given by e for x> 8 g(x;…

A: Solution

Q: The table shows the various sums of money that can be won in playing a certain game and the…

A: From the provided information, X (in $’’s) 20000 2000 1000 200 0 P(X) 0.004…

Q: nin nax D1 nin nax D2 26 101 82 nin nax D3 31 84 10 20 30 40 50 60 70 88 90 100 110 Vhich of the…

A: The objective is to identify the true statement about the given boxplots.

Q: For items 11 to 14: A study was conducted to investigate the interactions between California…

Q: A fisherman puts out his net in the evening and empties it the following morning. During the night,…

Q: A random sample of size 35, taken from a normal population with a variance of 5, has a mean of 80. A…

Q: 1. For the following sets of data, find the mean, variance, and standard deviation: 2 6 8 8 8 8 11…

Q: Find the mean, median, and mode(s) of the data with and without the outlier. 85, 77, 211, 88, 91,…

Q: explain the difference between a distribution function, moment generating function and probability…

A: The distribution function: A function that represents the discrete probability distribution is…

Q: Mayor candidate, Edgar, claims that 55% of the city residents prefer to have him win the election. A…

Q: Let x be a random variable that represents the percentage of successful free throws a professional…

A: Note: As per the guidelines we are supposed to solve only first three subparts. please repost the…

Q: The following is data on the causes of fires in DKI Jakarta in 2020

A: Pareto chart is a combination of both bar graph and line chart.

Q: You believe that students at your school would prefer healthier options in the cafeteria. To test…

Q: How can I create an appropriate graph in SPSS with the above scenario?

A: Given: Group 1 Group 260 7065 8569 7258 8357 8159 6952 6572 7570 7965 7175 81

Q: Use the given confidence level and sample data to find a confidence interval for the population…

Q: For items 11 to 14: A study was conducted to investigate the interactions between California…

A: Given the the output path diagram of the interactions between California sheephead, macroalgae, and…

Q: deviation above

Q: A marine biologist claims that a harbor seal's average dive time is at least 5.8 minutes. A random…

Q: We observe a sequence of independent identical trials with two possible outcomes on each trial, S…

Q: The burning rates of two different solid-fuel propellants used in air crew escape systems are being…

A: Solution:- From given information sample mean x¯1=18x¯2=24standard deviationσ1=σ2=3sample size…

Q: Looking for an appropriate statistical test to determine whether the data is normally distributed

A: With reference to histogram in the follow up solution, it is clear that the shape is approximately…

Q: Using the normal distribution and the z - table prove the critical values of the commonly used…

A: Given: confidence coefficient, c = 90% confidence coefficient, c = 95% confidence coefficient, c =…

Q: Let's say that later, the researd substantially increases her sample size to 400,000 observations.…

A: If the sample size of the increased, then the statistical significance will increase without any…

Q: Find the nunerical value of the area under the normal curve that is not between -0.22 and 1.79

A: Solution-: Let, X- be the standard normal random variable We want to find the area under the normal…

Question

The overhead reach distances of adult females are normally distributed with a mean of

195 cm

and a standard deviation of

8.6 cm.

a. Find the probability that an individual distance is greater than

208.40

cm.

b. Find the probability that the mean for

randomly selected distances is greater than 193.70 cm.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution