The Empirical Rule states that for a population that is approximately normally distributed, the following 3 statement(s) hold. Select all that apply.Approximately 75% of the values are in the interval u ± 20.Approximately 90% of the values are in the interval µ ± 30.Approximately 95% of the values are in the interval u + 20.Approximately 68% of the values are in the interval u ± lo.Approximately 75% of the values are in the interval u ± lo.Approximately 50% of the values are in the interval u ± lo.Approximately 99.7% of the values are in the interval µ ± 30.Approximately 95% of the values are in the interval u ± 30.

We know that Empirical rule : 68% data lies between one standard deviation away from the mean =…

Answered: The Empirical Rule states that for a…

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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Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1,004 975 992 935 971 924 y 40 100 65 145 77 154 Use a calculator to verify that x = 5,801, x2 = 5,613,547, y = 581, y2 = 66,495 and xy = 554,778.Compute r. (Round your answer to four decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.Given our value of r, y should tend to remain constant as x increases.Given our value of r, y should tend to decrease as x increases. Given our value of r, y should tend to increase as x increases.Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
The graph portrays the decision criterion for a hypothesis test for a population mean. The null hypothesis is H:u=µ. The curve is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. do 0.9 Do not reject H Reject H, 0.8- 0.7- 0.6- 05- 04 0.3- 0.2- 0.1- !0.014 -059 0.59 L18 137 236 295 3.54 2.197 Determine the rejection region. O0.014 02.197 O All z-scores that lie to the right of 2.197 OAll 2-scores that lie to the left of 2.197
Q1 An engineering student wants to study the impact of temperature and humidity on yield. The following data was recorded by the student. S.N Temperature Humidity Yield 1 40 57 112 2 45 54 118 3 50 54 128 4 55 60 121 60 66 126 65 59 136 7 70 61 144 8 75 58 142 80 59 149 10 85 56 165
Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ=12.3. Assume the population is normally distributed.
Find P15, Q1,D3,Q2,D6 and P85
man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours? a. The predicted grade for 10 hours is more than 100, which is impossible. b. The value of 10…
(Round up to the nearest whole number as needed.)
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find Upper P 10 ,the 10 th percentile. This is the bone density score separating the bottom 10% from the top 90%. a. The bone density score corresponding to Upper P 10 is (Round to two decimal places as needed.)
our p value is .03 and you chose your α level to be .05. What kind of error could you be making? a. Type I error b. Type II error c. Type I and Type II error d. Neither errors
Select all statements that are true for density curves. The curve is symmetric and single-peaked. The curve is on or above the horizontal axis. The proportion of data values between two numbers ?a and ?b is the area under the curve between ?a and ?b. The total area under the curve is 1. The curve satisfies the 68-95-99.7% rule.
A random sample of 150 individuals (males and females) was surveyed, and the individuals were asked to indicate their year incomes. The results of the survey are shown below. Income Category Category 1: $20,000 up to $40,000 Category 2: $40,000 up to $60,000 Category 3: $60,000 up to $80,000 Edit Format Table Test at a = .05 to determine if the yearly income is independent of the gender. (CSLO 1,6,7) 12pt Male 10 35 15 V Paragraph BI U A Female 30 15 45 > 2 T² :

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