An automobile insurer has found that repair claims are Normally distributed with a mean of $890...
An automobile insurer has found that repair claims are Normally distributed with a mean of $890 and a standard deviation of $850. (a) Find the probability that a single claim, chosen at random, will be less than $840. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $840. ANSWER: (c) If a sample larger than 100 claims is considered, there would be chance of getting a sample with an average smaller then $840. (NOTE: Enter ''LESS'', ''MORE'' or ''AN EQUAL'' without the quotes.)
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An automobile insurer has found that repair claims are Normally
distributed with a mean of $890...
An automobile insurer has found that repair claims are Normally distributed with a mean of $580...
An automobile insurer has found that repair claims are Normally distributed with a mean of $580 and a standard deviation of $530. (a) Find the probability that a single claim, chosen at random, will be less than $560. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $560. ANSWER: (c) If a sample larger...
6. An insurance company claims that the average automobile on the road today is less than...
6. An insurance company claims that the average automobile on the road today is less than 4 years old. A random sample of 15 cars had an average age of 5.4 years with a standard deviation of 1.1 years. Assume that the population is normally distributed. Test the claim at ∝= 0.05
A manufacturer of automobile headlights claims that 10% of a batch of these headlights are defective....
A manufacturer of automobile headlights claims that 10% of a batch of these headlights are defective. A quality control inspector tests a random selection of 300 headlights in the batch. The number of defective headlights in this random sample is 35, which is more than expected. Estimate the probability of getting at least 35 defective lights in a random sample of 300. Based on the result, does it appear that the manufacturer’s claim of 10% defectiveness is accurate? Was there...
Most individuals are aware of the fact that the average annual repair cost for an automobile...
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $160 and a sample of 24 automobiles 2 years old showed a sample standard deviation for...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.962 g and a standard deviation of 0.316 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 41 cigarettes with a mean nicotine amount of 0.893 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 41 cigarettes with...
2. (a) A microwave oven repairer says that the mean repair cost for damaged microwave ovens...
2. (a) A microwave oven repairer says that the mean repair cost for damaged microwave ovens is less than RM100. You work for the repairer and want to test this claim. You find that a random sample of 5 microwave ovens has a mean repair cost RM75 and a standard deviation of RM12.50. At a =0.01, do you have enough evidence to support the repairer's claim? Assume the mean repair cost is normally distributed. (7 marks) (b) A nutritionist claims...
of 6 23. The pregnancies of pigs are normally distributed with a mean of 110 days...
of 6 23. The pregnancies of pigs are normally distributed with a mean of 110 days and a standard deviation of 11 days. What is the probability that a pregnancy lasts less than 108 days? a. Sketch the graph b. Find the probability 24. A study of the amount of time it takes a to cook a steak shows that the mean is 7 minutes and the standard deviation is 2 minutes. If 14 steaks are randomly selected, find the...
a) Suppose that miles driven anually by cars in America are normally distributed with mean μ...
a) Suppose that miles driven anually by cars in America are normally distributed with mean μ = 12, 394 miles and standard deviation σ = 1190 miles. (a)If one car is chosen at random, what is the probability it has driven less than 12,000 miles last year? (b) If a sample of 25 cars is taken, what is the probability that the mean of the sample is less than 12,000 miles? c)For a standard normal distribution, find P(1.22 < z...
Most individuals are aware of the fact that the average annual repair cost for an automobile...
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobille. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of 160 and a sample of 24 automobiles 2 years old showed a sample standard deviation for...
A test has been designed so that scores are normally distributed with a mean of 100...
A test has been designed so that scores are normally distributed with a mean of 100 and a standard deviation of 15. If a test taker is chosen at random, find the probability that their score on the test will be: less than 76 greater than 137 between 90 and 110 If you want to target test takers who score in the top 7% on the test, you should look for test takers whose score is above what value?
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $160 and a sample of 24 automobiles 2 years old showed a sample standard deviation for...
2. (a) A microwave oven repairer says that the mean repair cost for damaged microwave ovens is less than RM100. You work for the repairer and want to test this claim. You find that a random sample of 5 microwave ovens has a mean repair cost RM75 and a standard deviation of RM12.50. At a =0.01, do you have enough evidence to support the repairer's claim? Assume the mean repair cost is normally distributed. (7 marks) (b) A nutritionist claims...
of 6 23. The pregnancies of pigs are normally distributed with a mean of 110 days and a standard deviation of 11 days. What is the probability that a pregnancy lasts less than 108 days? a. Sketch the graph b. Find the probability 24. A study of the amount of time it takes a to cook a steak shows that the mean is 7 minutes and the standard deviation is 2 minutes. If 14 steaks are randomly selected, find the...
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobille. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of 160 and a sample of 24 automobiles 2 years old showed a sample standard deviation for...
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