Assume that all samples are random.1You "clock" 14 of Steve Dalkowski's fastballs, obtaining a mean of 111.8 mph, with a standarddeviation of 3.2 mph. To a 1% level of significance, can it be asserted that the average Dalkowskifastball (in general) is over 110 mph?[Assume that the "speeds" of all of Dalkowski's fastballs are normally distributed.]2Greg Maddux throws 300 pitches, of which 237 are strikes. To a 1% level of significance, is he rightin his boast that over 75% of his pitches (in general) are strikes?3A cannon is fired 10 times; the mean distance traveled by the projectile is 2.2 km, with a standarddeviation of .3 km. To a 5% level of significance, can it be asserted that the standard deviation & ofthe distances traveled by the projectile (in general) is over .25 km?[Assume that the distances of all the cannon shots are normally distributed.]

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Answered: You "clock" 14 of Steve Dalkowski's…

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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. Ghana Rice Company. (GRC) sells rice to selected shops in Accra. GRC uses an automatic machine to fill the bags of rice. Weights of the bagged rice are approximately normally distributed with a mean of 75 kilograms and a standard deviation of 1.5 kilograms. a) GRC is unable to adjust the mean of the filling machine. However, it is able to adjust the standard deviation of the filling machine. What should be the standard deviation so that no more than 2% of all filled bags weigh more than 71.5 kilograms?
Suppose the time to complete a race for a particular age group are normally distributed with a mean of 27.2 minutes and a standard deviation of 3.3 minutes. Find the times that corresponds to the following z- scores. Round your answer to 3 decimals. a. Runner 1: z = 0.39, time b. Runner 2: z = – 1.61, time = Is Runner 1 faster than average, slower than average, or exactly average? O Faster than Average c. Slower than Average O Exactly Average Is Runner 2 faster than average, slower than average, or exactly average? d. OFaster than Average O Slower than Average Exactly Average Add Work
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 49 feet. Use the Cumulative Z-Score Table to answer the questions below. Write your answers as a percent with two decimal places. Hint If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 288.65 feet? Hint P(fewer than 288.65 feet) = If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 364.6 feet? Hint P(more than 364.6 feet) =
In a group of 10 workers, the wage of the lowest paid worker is Dollar 25 less than the average wage of others. Show that the standard deviation of wages is equal to 7.53?
On average, a banana will last 6.3 days from the time it is purchased in the store to the time it is too rotten to eat. The standard deviation is 2.1 days. Will the average banana spoil earlier if the banana is hung from the ceiling? The data show results of an experiment with 16 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5, 8, 5, 7, 4, 4, 6, 8, 6, 7, 5, 7, 6, 3, 6,2 What can be concluded at the 0.10 level of significance? H0: = 6.3 Ha: [ Select ] [">", "<", "Not Equal To"] 6.3 Test statistic:[ Select ] ["T", "Z"] p-Value = [ Select ] ["0.02", "0.08", "0.04", "0.16"] [ Select ] ["Reject Ho", "Fail to Reject Ho"] Conclusion: There is [ Select ] ["insufficient", "statistically significant"] evidence to make the conclusion that the population mean time that it takes for bananas to spoil if they are hung from the ceiling is less than 6.3 days.
Assume that adults have IQ scores that are normally distributed with a mean of 102.9 and a standard deviation 19.4. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is Type an integer or decimal rounded to one decimal place as needed.)
It is observed that chances of rain during July has a standard deviation of 7. Find the mean if the z-score is -1.26 and the chances of rain is for 12 days. O 15 O 17 23 O 21 O 19
At one university, the mean distance commuted to campus by students is 16.0 miles, with a standard deviation of 5.3 miles. Suppose that the commute distances are normally distributed. Complete the following statements. (a) Approximately ? v of the students have commute distances between 0.1 miles and 31.9 miles. (b) Approximately 68% of the students have commute distances between miles and I miles.
From a sample with n = 12, the mean number of televisions per household is 2 with a standard deviation of 1 television. Using Chebychev's Theorem, determine at least how many of the households have between 0 and 4 televisions. At least of the households have between 0 and 4 televisions. (Simplify your answer.)
Assume that adults have IQ scores that are normally distributed with mean of 99.6 and a standard deviation 17.4. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)

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