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2. One Sample t-test for Population Mean A vendor claims that the average weight of a shipment of...
Company ABC claims that they produces cans whose diameters are normally distributed with a population mean...
Company ABC claims that they produces cans whose diameters are normally distributed with a population mean of 2 inches and a population standard deviation of 0.06 inch. A customer wants to check if the mean diameter of the cans is different than 2 inches. He takes a random sample of nine samples and finds a sample mean of 1.95 inches. Use a significance level of α = 0.07 to perform a hypothesis test using p value approach. Answer key: Two...
A company claims that their lightbulbs last an average of 400 days. To test this claim,...
A company claims that their lightbulbs last an average of 400 days. To test this claim, a random sample of 25 lightbulbs is tested and it is observed that they last for an average of 380 days with a standard deviation of 60 days. Part A) Assuming that the population of the time to failure of all lightbulbs is normally distributed, test the null hypothesis that the average life-length of their lightbulb is 400 days against the alternative that it...
A parts producer claims that average length of their fiberglass tubing products is exactly 6 centimeters...
A parts producer claims that average length of their fiberglass tubing products is exactly 6 centimeters in length, as specified in their product description. A disgruntled customer is skeptical of this claim. The customer selects a random sample of the tube. Assuming a random sample with a normal distribution and a known standard deviation, she tests the hypothesis that the claim is accurate against the alternative hypothesis that the claim is inaccurate. She calculates a test statistic of 1.82 ....
An auto manufacturer claims that the average length of time that one of its cars is...
An auto manufacturer claims that the average length of time that one of its cars is owned before it requires a major repair is at least seven years. Assume that a survey of ten owners of the manufacture's cars finds that they went an average of 6 years before a major repair and the sample standard deviation for such time lengths was 1.8 years. Use the data to test the manufacture's claim at a 5% significance level. A. Give the...
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test...
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=37, n = 31, σ=9, H0 : μ=39, Ha: μ<39 EB Click here to view a partial table of areas under the standard normal curve. The test statistic is z- (Round to two decimal places as needed.)
A principal claims the students in his school have above-average test scores for a particular standardized...
A principal claims the students in his school have above-average test scores for a particular standardized test. A sample of 50 students from his school were found to have an average test score of 77.2. The population mean for test scores for this particular test is 75, with a standard deviation of 9 (so we can assume that the population test score is normally distributed). Set up a hypothesis test to determine whether this principal’s claim is correct (use alpha...
(2) A state executive claims that the average cost of tuition at public colleges is $5700....
(2) A state executive claims that the average cost of tuition at public colleges is $5700. A researcher wishes to test the claim that this cost is greater than $5700. She selects a random sample of 36 public colleges and finds the mean to be $5950.The population standard deviation is $659. Is there enough evidence to support the claim that the cost of tuition is greater than $5700 at a 0.05?
A cereal company claims that mean weight of cereal boxes is at most 16.1 ounces. Suppose...
A cereal company claims that mean weight of cereal boxes is at most 16.1 ounces. Suppose that a plant manager wishes to test whether the true mean weight of cereal boxes is greater than 16.1 ounces. Suppose that for this problem the population standard deviation is 0.4 and the population distribution is normal. The manager obtain a random sample of size 25 and finds a mean of 16.3 ounces. Using p value approach test the claim of company at significance...
A sample of 64 observations is selected from a normal population. The sample mean is 215,...
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.03 significance level: HO: u? 220 H1 : < 220 a. Is this a one-or two-tailed test? Two-tailed b. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) (Click to select) v Ho when z< D...
A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to...
A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hypothesis test at the given significance level. Use the P-value approach. x̄ = 259, n = 15, σ = 19, H 0: μ = 250, Ha : μ > 250, α = 0.01
A parts producer claims that average length of their fiberglass tubing products is exactly 6 centimeters in length, as specified in their product description. A disgruntled customer is skeptical of this claim. The customer selects a random sample of the tube. Assuming a random sample with a normal distribution and a known standard deviation, she tests the hypothesis that the claim is accurate against the alternative hypothesis that the claim is inaccurate. She calculates a test statistic of 1.82 ....
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=37, n = 31, σ=9, H0 : μ=39, Ha: μ<39 EB Click here to view a partial table of areas under the standard normal curve. The test statistic is z- (Round to two decimal places as needed.)
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.03 significance level: HO: u? 220 H1 : < 220 a. Is this a one-or two-tailed test? Two-tailed b. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) (Click to select) v Ho when z< D...
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