It is claimed that a car has travelled on average more than 20000 kilometresper year. To test this claim, a random sample of 30 car owners have beenselected. The owners were asked to keep records on the number of kilometresthey have travelled. Would you agree with this claim if the random sampleshows an average of 22500 kilometres and a standard deviation of 5500kilometres? Use 0.05 level of significance to justify your answer.

Hypothesis testing plays a major role in research and development. To diagnose the underlying cause…

Answered: It is claimed that a car has travelled…

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 company produces different types of drinks. It has been observed that the amount of drink in a bottle is normally disributed with a mean of 500 ml and a standard deviation of 4.75 ml. What percentage of the drink bottles contains 505 to 513 ml
Find the regression equation, letting overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 2 cm. Can the prediction be correct? What is wrong with predicting the weight in this case? Use a significance level of 0.05.
The ages of the winners of a cycling tournament are approximately bell shaped. The mean age is 27.4 years, with a standard deviation of 3.6 years. The winner in one recent year was 29 years old. Transform the age to a a-score. Interpret the results. Determine whether the age is unusual.
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.
The manager of a major retail store has taken a random sample of 25 customers. The average sale was $52.50. The population standard deviation is known to be $6.10. The manager would like to determine whether or not the mean sales by all customers are significantly more than $50. What is the p-value for the test?
Most medical schools require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. What percentage of students score above 518 points? ( write as a decimal and round to the nearest hundredth)
A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?
A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds. How many M&M's would I have to eat to be in the 3rd quartile?
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 weights for newborn babies is approx normally distributed with a mean of 6.1 pounds and a standard deviation of 1.8 pounds. use the cumulative Z-score table to answer the following questions. Write your answers rounded to the nearest whole number. consider a group of 1700 newborn babies: How many would you expect to weigh between 7.36 and 8.62 pounds? How many would you expect to weigh less than 3.76 pounds? How many would you expect to weight more than 5.65 pounds? How many would you expect to weight between 6.1 and 7 pounds?
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.

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