Homework Answers
n=16
s = 4000
95% confidence interval
Formula
E =margin of Error
tc =2.131 ( using t-table )
95 % confidence interval is
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Question 4: An auto manufacturer investigates the average life of a model.A sample of 16 cars...
3. The mean age of sample of 100 cars from a certain manufacturer is found to...
3. The mean age of sample of 100 cars from a certain manufacturer is found to be eleven years. If the sample standard deviation of car ages is 5 years, give a 99% confidence interval for the mean age of cars from this manufacturer. 4. The sample standard deviation of the ages of a random sample of 40 television sets in a neighborhood is 3 years. Find a 95% confidence interval for the standard deviation of the entire population of...
[6-34] The manufacturer of a new fiberglass tire claims that its average life will be at...
[6-34] The manufacturer of a new fiberglass tire claims that its average life will be at least 40,000 miles. To verify this claim, sample of 15 tires are tested. Sample mean was 41.1 (in 1000 miles), and sample standard deviation was 2.50. Assuming the measurements were random sample from a Normal distribution, calculate 95% one-sided confidence interval for true mean tire life. Choose lower-bound or upper-bound, whichever is appropriate. (Round to 2 decimals.) Your Answer: Answer
A tire manufacturer would like to estimate the average tire life of its new all-season light truck tire in terms o...
A
tire manufacturer would like to estimate the average tire life of
its new all-season light truck tire in terms of how many miles it
lasts. Determine the sample size needed to construct a 98%
confidence interval with a margin of error equal to 3,100 miles.
Assume the standard deviation for the tire life of this particular
brand is 7,000 miles.
Question Heip Atre manufacturer would ke to esimate the average tire lide of its new all-eason light thuck fre...
1. An auto company wanted to know the percentage of people who prefer to own safer...
1. An auto company wanted to know the percentage of people who prefer to own safer cars (that is, cars that possess more safety features) even if they have to pay a few thousand dollars more. A random sample of 500 people showed that 320 of them will not mind paying a few thousand dollars more to have safer cars. Construct a 90% confidence interval for the percentage of people who will not mind paying a few thousand dollars more...
A manufacturer has obtained the following sample results for the weight of 25 widgets: Sample Average Weight:...
A manufacturer has obtained the following sample results for the weight of 25 widgets: Sample Average Weight: 200 grams Sample Standard Deviation: 5 grams How many standard deviation units are required to construct a 95% confidence interval for the average weight of all such widgets?
QUESTION 4 (4 marks) A manufacturer of contact lens solution produce a 500ml bottle with tightly...
QUESTION 4 (4 marks) A manufacturer of contact lens solution produce a 500ml bottle with tightly controlled salinity. The Naci content of the bottles is normally distribution. A random sample of 35 bottles from the manufacturer were tested and yielded a mean of 4.6 and a standard deviation of 0.05. Construct a 95% confidence interval for the average NaCl content of the bottles of contact lens solution.
Problem 5. The mileage of a certain make of car may not be exactly that rated by the manufacturer. Suppose ten cars of the same model were tested for combined city and highway mileages, with the foll...
Problem 5. The mileage of a certain make of car may not be exactly that rated by the manufacturer. Suppose ten cars of the same model were tested for combined city and highway mileages, with the following results: 1 Car No. Observed Mileage 35 40 37 4232 43 38 32 41 34 (mpg) 1 23 4 56 78 9 10 a) Estimate the sample mean and standard deviation of the actual mileage of this particular make of car. Suppose that...
10) A sample of 50 cars on a section of the interstate indicated that the average...
10) A sample of 50 cars on a section of the interstate indicated that the average speed was 75.34 miles per hour. The sample standard deviation was 4.43 miles. Calculate a 90% confidence interval for the average speed on the section of interstate.
2. An automobile manufacturer wants to estimate the mean gasoline mileage that its customers will obtain...
2. An automobile manufacturer wants to estimate the mean gasoline mileage that its customers will obtain with its new compact model. It is known that gasoline mileage for this model is normally distributed with a population standard deviation of 2.5 miles per gallon. In a sample of n=16 test runs the average mileage was 28 mpg. Construct a 98% confidence interval for the true mean gasoline mileage for this new compact model. Show your work
17 randomly selected cars are driven for a tank and is found that the sample mean fuel consumption is 9.4 l/100k with a...
17 randomly selected cars are driven for a tank and is found that the sample mean fuel consumption is 9.4 l/100k with a sample standard deviation of s = .437. suppose the manufactuer wishes to construct a confidence interval for mu the true mean fuel consumption for the model under these consitions what is the margin of error of a 95% confidence interval for mu what is the margin of error of a 90% confidence interval for mu
3. The mean age of sample of 100 cars from a certain manufacturer is found to be eleven years. If the sample standard deviation of car ages is 5 years, give a 99% confidence interval for the mean age of cars from this manufacturer. 4. The sample standard deviation of the ages of a random sample of 40 television sets in a neighborhood is 3 years. Find a 95% confidence interval for the standard deviation of the entire population of...
[6-34] The manufacturer of a new fiberglass tire claims that its average life will be at least 40,000 miles. To verify this claim, sample of 15 tires are tested. Sample mean was 41.1 (in 1000 miles), and sample standard deviation was 2.50. Assuming the measurements were random sample from a Normal distribution, calculate 95% one-sided confidence interval for true mean tire life. Choose lower-bound or upper-bound, whichever is appropriate. (Round to 2 decimals.) Your Answer: Answer
A
tire manufacturer would like to estimate the average tire life of
its new all-season light truck tire in terms of how many miles it
lasts. Determine the sample size needed to construct a 98%
confidence interval with a margin of error equal to 3,100 miles.
Assume the standard deviation for the tire life of this particular
brand is 7,000 miles.
Question Heip Atre manufacturer would ke to esimate the average tire lide of its new all-eason light thuck fre...
QUESTION 4 (4 marks) A manufacturer of contact lens solution produce a 500ml bottle with tightly controlled salinity. The Naci content of the bottles is normally distribution. A random sample of 35 bottles from the manufacturer were tested and yielded a mean of 4.6 and a standard deviation of 0.05. Construct a 95% confidence interval for the average NaCl content of the bottles of contact lens solution.
Problem 5. The mileage of a certain make of car may not be exactly that rated by the manufacturer. Suppose ten cars of the same model were tested for combined city and highway mileages, with the following results: 1 Car No. Observed Mileage 35 40 37 4232 43 38 32 41 34 (mpg) 1 23 4 56 78 9 10 a) Estimate the sample mean and standard deviation of the actual mileage of this particular make of car. Suppose that...
10) A sample of 50 cars on a section of the interstate indicated that the average speed was 75.34 miles per hour. The sample standard deviation was 4.43 miles. Calculate a 90% confidence interval for the average speed on the section of interstate.
2. An automobile manufacturer wants to estimate the mean gasoline mileage that its customers will obtain with its new compact model. It is known that gasoline mileage for this model is normally distributed with a population standard deviation of 2.5 miles per gallon. In a sample of n=16 test runs the average mileage was 28 mpg. Construct a 98% confidence interval for the true mean gasoline mileage for this new compact model. Show your work
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