A study was conducted on students from a particular high school over the last 8 years. The followinginformation was found regarding standardized tests used for college admitance. Scores on the SAT test arenormally distributed with a mean of 1026 and a standard deviation of 196. Scores on the ACT test are normallydistributed with a mean of 19.9 and a standard deviation of 4.6. It is assumed that the two tests measure thesame aptitude, but use different scales.If a student gets an SAT score that is the 71-percentile, find the actual SAT score.SAT score =Round answer to a whole number.What would be the equivalent ACT score for this student?ACT score =Round answer to 1 decimal place.If a student gets an SAT score of 1242, find the equivalent ACT score.ACT score =Round answer to 1 decimal place.> Next Question

The question is about normal distribution.Given :Population mean of SAT score ( ) = 1026Population…

Answered: A study was conducted on students from…

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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SWC surveyed its students and measured the extent of their tendency to conform to others on a scale of 1 to 10. Higher scores indicate a higher tendency to conform. The mean score for students at the college was 6 with a standard deviation of 2. Professor Hayashi believes his students are very independent. He measures the conformity of his students on the same scale to see if they differ from the college. The following scores are the conformity scores of the sample of students: 4 7 5 4 3 10 7What proportion of random samples of students from the population can we predict will have a conformity mean below 3?
An instructor claims that the average number of hours needed to study for a final exam in order to pass should be 5 hours. A student believes that the instructor is understating the number of hours needed to pass and surveys 36 students and finds the sample mean and standard deviation to be 5.7 and 1.5 hours respectively. Test the instructors claim at a .10 level.
According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 64 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively. (a) Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. (Enter != for # as needed.) Ho: H: (b) Using the sample from the 64 bottles, what is the test statistic? (Round your answer to three decimal places.) Using the sample from the 64 bottles, what is the p-value? (Round your answer to four decimal places.) p-value =…
Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
The average McDonald's restaurant generates $3.3 million in sales each year with a standard deviation of 0.8. Skyler wants to know if the average sales generated by McDonald's restaurants in North Carolina is different than the worldwide average. He surveys 25 restaurants in North Carolina and finds the following data (in millions of dollars): 2.3, 0.9, 2.2, 2.8, 3.1, 3.1, 2.3, 2.6, 2.7, 2.7, 3.1, 3.9, 4.1, 4, 4.5, 1.8, 4.3, 2.7, 3.9, 3.5, 3.2, 1.7, 3.5, 2.9, 2.1 Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Но: ? ? v Ha: ? v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v P(? v…
Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. They are also interested in the variation of the number of Babies. Suppose that an airline executive believes the standard deviation in the number of babies is 6 at the most. The airline conducts a survey. The results of the 23 flights surveyed give a samle mean of 8 with a sample standard deviation of 9. Test the executive's belief to see if it is accurate, or if it is actually greater at the a = 0.05 level. Ho:o = H:o Select an answer df = P-value = The p-value is... greater than a less than (or equal to) a This test statistic leads to a decision to... reject the null fail to reject the null accept the alternative accept the null As such, the final conclusion is that there Select an answer v sufficient evidence to conclude the standard deviation of the number of babies on airplanes is Select an answer than (?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The average McDonald's restaurant generates $2.6 million in sales each year with a standard deviation of 1. Tatiana wants to know if the average sales generated by McDonald's restaurants in Alaska is different than the worldwide average. She surveys 25 restaurants in Alaska and finds the following data (in millions of dollars):3.2, 1.8, 0.9, 3.2, 3.6, 1.7, 4.2, 2, 3.1, 3.9, 3, 2.9, 2.5, 3.5, 3, 3, 2.4, 5, 3.8, 0.9, 2.2, 2.4, 2.6, 2.8, 3.3Perform a hypothesis test using a 10% level of significance. Find the pp-value of the point estimate. P(p( <or > )= P(z<)=P( ? )=)=? p value =?pp-value==
Use z scores to compare the given values. The tallest living man at one time had a height of 245 cm. The shortest living man at that time had a height of 60.8 cm. Heights of men at that time had a mean of 173.94 cm and a standard deviation of 6.92 cm. Which of these two men had the height that was more extreme?
Raul received a score of 79 on a history test for which the class mean was 70 with a standard deviation of 7. He received a score of 79 on a biology test for which the class mean was 70 with standard deviation 9. On which test did he do better relative to the rest of the class? A. biology test B. history test C. the same
According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $55,130. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,778. Someone would like to determine if registered nurses in Ohio have a greater average pay. To investigate this claim, a sample of 220 registered nurses is selected from the Ohio Board of Nursing, and each is asked their annual salary. The mean salary for this sample of 220 nurses is found to be $55,504.488. Completely describe the sampling distribution of the sample mean salary when samples of size 220 are selected. mean: μ x-bar = ____ standard deviation: σ x-bar = ____ shape: the distribution of is ____________(not normally distributed/normally distributed) because ___________ (the sample size is large/the sample size is not large/the population of salaries is normally distributed/the population of salaries is not normally distributed)

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