A group of 19 people from New York and a group of 14 people from Los Angeles passed the same quiz. The mean grade of group A is 84points, with the standard deviation o, = 3, the mean grade of group B is 83 points, o, = 2. Use a = 0.05.Assuming that the subjects are chosen randomly, the cities' population are independent and the points are normally distributed:(a) Check if there is a significant difference between the mean grades of the groups. Find the P-value of this test.Round your answer to four decimal places (e.g. 98.7654).Round your answer to three decimal places (e.g. 98.765).P- value =i(b) Explain how the test could be conducted with a confidence interval.Round your answers to three decimal places (e.g. 98.765).We are 95% confident that value 1 exceeds value 2 by betweenii(c) What is the power of the test for the true difference in means of 2?Round your answer to three decimal places (e.g. 98.765).The power of the test is 1 - B =(d) Assume that sample sizes are equal. What group size should be considered to obtain B = 0.1 if the true difference in means is 2?We should use n, = n, =i

The provided information is x1¯=84,x2¯=83σ1=3,σ2=2n1=19,n2=14α=0.05 a. The hypothesis is…

Answered: A group of 19 people from New York and…

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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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates isx= 78.0 beats per minute, and their standard deviation is s = 20.7 beats per minute. a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, significant? the pulse rate of 39 beats per minute a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The lowest pulse rate is
A particular fruit's weights are normally distributed, with a mean of 342 grams and a standard deviation of 14 grams.The heaviest 2% of fruits weigh more than how many grams?Give your answer to the nearest gram.
As reported in Runner's World magazine, the times of the finishers in the New York City 10- km run are normally distributed with mean 61 minutes and standard deviation 9 minutes. The 75th percentile for the finishing times is 67 minutes. What is the interpretation of this value?
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
A sample of 134 motels is selected from a large urban area and the price for a night of lodging for a single room was determined for each motel. The mean rate is computed to be $87 and the standard deviation is $14. One motel charged $57 per night which is the 13th percentile. Another motel charged $118 per night which is the 75th percentile. Step 3 of 4 : One of the motels was 1.3 standard deviations below the mean, what is the price of a single room at the motel? Round your answer to two decimal places.
...........
For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (c) Suppose the relative frequency distribution for the data is bell-shaped, then what percentage of days between 325 and 425 vehicles used the intersection ?
A particular fruit’s weights are normally distributed, with a mean of 395 grams and a standard deviation of 29 grams. The heaviest 18% of fruits weigh more than how many grams? Give your answer to the nearest gram.
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?
Suppose the exam average in a class is 82% with a standard deviation of 6. What proportion of students scored below 88%? Round to two places.
If the coefficient of variation for a data is given as 35%, and the standard deviation for the same data is 32. What is the mean?
The mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?

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