45 people are randomly selected and the accuracy of their wristwatches is checked, with positive errors representing watches that areahead of the correct time and negative errors representing watches that are behind the correct time. The 45 values have a mean of 113sec.Assume the population standard deviation is known to be 226sec. Use a 0.01 significance level to test the claim that the population of allwatches has a mean of Osec. Give your test statistic to 3 decimal places, and your P-value to at least 4 decimal places. Hint: Is there a directionspecified in the problem statement? What does that tell you about your alternate hypothesis?The test statistic isThe P-Value is

Given : Claim : The population of all watches has a mean of 0 sec.

Answered: 45 people are randomly selected and the…

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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A psychologist created a questionnaire to assess people's aggression. Assume that the questionnaire responses are regularly distributed with a standard deviation of 100. Assume that 15% of the scores are higher than 700. Determine the mean of the score distribution. Calculate your intermediate results to at least four decimal places. Round your answer to the nearest decimal point.
The annual rainfall in a town has a mean of 54.57 inches and a standard deviation of 12.84 inches. Last year there was rainfall of 71 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places.
For a certain type of job, it costs a copany an average of $231 to train an employee to perform the task. The standard deviation is $5. Find the minimum percentage of data values that will fall in the range of $219 to $243. Use Chebyshev's theorem.
Scores on a recent NYS Standardized Exam were normally distributed with a mean of 77.6 and a standard deviation of 4.3. Find the NYS Standardized Exam score that separates the bottom 2.5% from the rest. Round this score to the nearest tenth
The tallest living man at one time had a height of 243 cm. The shortest living man at that time had a height of 127.5 cm. heights of men at that time had a mean of 170.52 cm and a standard deviation of 6.62. Which of these two men had the height that was more extreme? Use z scores
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
You have a sample of 48 randomly selected Vancouverites. On average (the sample mean), the people in your sample spent 425 hours eating food in 2020. The least time a person in the sample spent eating food in 2020 is 367 hours and the most time a person in the sample spent eating food in 2020 is 484 hours. What would be your best guess about the population standard deviation of the time a Vancouverite spent eating food in 2020? Give the number and explain (including assumptions you make about the population distribution).
Use z scores to compare the given values. The tallest living man at one time had a height of 228 cm. The shortest living man at that time had a height of 131.9 cm. Heights of men at that time had a mean of 174.11 cm and a standard deviation of 5.72 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z = (Round to two decimal places.) and the z score for the shortest man is z = the man had the height that was more extreme.
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 90, the 90th percentile. This is the temperature reading separating the bottom 90% from the top 10%.
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 346 seconds. For a sample of 58 patients, the mean time in which the medicine relieved pain was 352 seconds. Assume the population standard deviation is 23. Find the P-value of the test statistic. 囲 Tables E Keypad Keyboard Shortcuts 0.0582 %3D IX
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 27 and the age of the winner for best actress were 47. For all best actors, the mean age is 42.7 years and the standard deviation is 7.7 years. For all best actresses, the mean age is 32.9 years and the standard deviation is 11.2 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z= and the z score for the actress is z=,the▼actress actor had the more extreme age.
The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 15. Write only a number as your answer. Round your answer to two decimal places (for example: 3.15).

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