In a recent study on world happiness, participants were asked to evaluatetheir current lives on a scale from 0 to 10, where 0 represents the worstpossible life and 10 represents the best possible life. The responses werenormally distributed, with a mean of 6.1 and a standard deviation of 2.4.Answer parts (a)-(d) below.(a) Find the probability that a randomly selected study participant's responsewas less than 4.The probability that a randomly selected study participant's response wasless than 4 is 0.1907. (Round to four decimal places as needed.)(b) Find the probability that a randomly selected study participant's responsewas between 4 and 6.The probability that a randomly selected study participant's response wasbetween 4 and 6 is (Round to four decimal places as needed.)

For the distribution of the measured response on a scale of 0 to 10, it is given that,The mean…

Answered: In a recent study on world happiness,…

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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Because of the popularity of movies as an entertainment medium for college students, you plan to do a national study of the average cost of a movie ticket. If you assume that σ=$0.50, what sample size would you have to take to be 95% confident that your estimate was within $0.25 of the true mean ticket prices
part D E
A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.
(a) The population 3, 4, 9, 14, and 20 has a mean of 10 and a standard deviation of 6.356. The z-scores for each of the five data values are z3 ≈ −1.101, z4 ≈ −0.944, z9 ≈ −0.157, z14 ≈ 0.629, and z20 ≈ 1.573. Find the mean and the standard deviation of these z-scores. mean standard deviation (b) The population 2, 6, 12, 17, 22, and 25 has a mean of 14 and a standard deviation of 8.226. The z-scores for each of the six data values are z2 ≈ −1.459, z6 ≈ −0.973, z12 ≈ −0.243, z17 ≈ 0.365, z22 ≈ 0.973, and z25 ≈ 1.337. Find the mean and the standard deviation of these z-scores. mean standard deviation (c) Use the results of part (a) and part (b) to make a conjecture about the mean and standard deviation of the z-scores for any set of data. The mean of the z-scores is always 1, and their standard deviation is 0. The mean of the z-scores is always 1 more than the standard deviation. The mean and standard deviation of z-scores are never the same.…
Part 1 of 4 Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a 26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of her race times (in minutes): 227.2, 233.3, 259.7, 265.8, 252.1, 228.8, 222.6, 202.9, 214.5, 237.2, 267.7 Perform a hypothesis test using a 9% level of significance to test Victoria's claim. Step 1: State the null and alternative hypotheses. 17.5 Ha:0
man.2
A recent Gallup Poll interviewed a random sample of 1523 adults. Of these, 868 bought a lottery tickets in the past year. Suppose that in fact (unknown to Gallup) exactly 60% of all adults bought a lottery ticket in the past year. If Gallup took many simple random samples of 1,523 people, the sample proportion who bought a ticket would vary from sample to sample. The sampling distribution would be close to normal with a mean of 0.6 and a standard deviation of___ A)0.4899 B)0.0251 C)0.00016 D)0.0126
I often hear the opinion that "people who listen to classical music are smarter". In an attempt to test that claim, gave an IQ test to two groups of people: Group 1: Students who primarily listen to non-classical music. • Group 2: Students who primarily listen to classical music. Their scores are summarized in the following table: Std. Deviation Group 1 111 Group 2 100 98 87 119 108 102 110 10.392 85 105 97 114 93 101 9.142 Answer the question using a 0.10 level of significance. Select the correct answer to this question: Which is the approximate P-value of this Test? O 0.148 0.852 0.015 O 0.426
In a certain populalion, let us assume that IQ scores are normally distributed with mean of 100 and standard devialion of 15. What percentage of the population have IQ scares more than 116? Select one: a. 0.6808 O b. 0.2327 O c. 0.3192 C d. 0.8577 e. 0.1423 f. 0.7673
In January 2013, a poll by ABC News indicated that Obama's popularity had reached a three-year high. Suppose the relative frequency of occurrence of each response, grouped by sex, is given in the following table. Rating Excellent Very Good Good Fair Poor Answer: Women Men Relative Relative Frequency Frequency 0.184 ≈ 0.23 unknown 0.25 unknown unknown 0.225 unknown ≈ 0.167 0.103 Assume • the proportion of men's responses rated as either Very Good or Good is 0.488, • the proportion of women's responses rated as either Good or Fair is .353, • the proportion of men's responses rated as Good is≈ 93.6% larger than the proportion of women's responses the same (relative to the women's one), and • the proportion of men's responses rated as Very Good is 14.58% larger than the proportion of women's responses rated as Fair (relative to the women's one.) What proportion of women's responses is rated as Good? (Type your final answer in decimal form (rounded to the nearest hundredth), like 0.36. DO…

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