Exam 7: Hypothesis Testing With One Sample

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. According to the U.S. Department of Agriculture, imports of Canadian grown potatoes have depressed U.S. sales of potatoes during the last six years. From this sample, the standard deviation is 2.07. Assume we know from the past, the population standard deviation of sales was .79. Use a .05 significance level to test the claim that U.S. potato sales have more variation in the last six years than in the past. -Identify the null hypothesis and alternative hypothesis.

Determine which is the appropriate approach to conduct a hypothesis test. -Claim: The AI, or Adequate Intake of water, for pregnant women is a mean of 3L/d, liters per day. Sample data: n = 200 , X = 2.5 , s =1. The sample data appear to come from a normally distributed population with σ=1.2 .

For the next questions, find the P-value using the given information -With

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume a simple random sample has been taken, the population standard deviation is known, and the population is normally distributed. Medical researchers evaluating a drug for Multiple Sclerosis found in a sample of 500 patients that the mean number of relapses was 165. Assume the population standard deviation is known from a previous study to be 50. Use a .05 significance level to test the claim that the drug has a mean number of relapses less than 170. -Identify the null hypothesis and alternative hypothesis.

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. According to the U.S. Department of Agriculture, imports of Canadian grown potatoes have depressed U.S. sales of potatoes during the last six years. From this sample, the standard deviation is 2.07. Assume we know from the past, the population standard deviation of sales was .79. Use a .05 significance level to test the claim that U.S. potato sales have more variation in the last six years than in the past. -Identify the critical value(s).

Identify the Type I error. -The EPA claims that fluoride in children's drinking water should be at a mean level of less than 1.2 ppm, or parts per million, to reduce the number of dental cavities.

For the next questions, test the given claim using the P-value method for hypothesis testing about a proportion. Assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions can be approximated by a normal distribution. In order to track the percentage of misdiagnoses by Emergency Room doctors, a sample of 900 patients revealed that 45 patients were misdiagnosed with indigestion instead of a heart attack. Test the claim that physicians misdiagnose less than 6% of heart attacks. Use a .01 significance level. -Identify the P-value and level of significance.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. Biologists are investigating if their efforts to prevent erosion on the bank of a stream have been statistically significant. For this stream, a narrow channel width is a good indicator that erosion is not occurring. Test the claim that the mean width of ten locations within the stream is more than 3.7 meters. Use a .05 significance level and the following sample data: -Identify the P-value and level of significance.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume a simple random sample has been taken, the population standard deviation is known, and the population is normally distributed. At a dam in Oregon, fisheries biologists are studying the length of the pikeminnow fish to investigate the population structure of resident fish. They collect a sample of 60 pikeminnow and find that the mean length is 15 inches. Assume the population standard deviation is known from a previous study to be 1.5 inches. Use a .05 significance level to test the claim that the pikeminnow have a mean length greater than 14 inches. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume a simple random sample has been taken, the population standard deviation is known, and the population is normally distributed. Medical researchers evaluating a drug for Multiple Sclerosis found in a sample of 500 patients that the mean number of relapses was 165. Assume the population standard deviation is known from a previous study to be 50. Use a .05 significance level to test the claim that the drug has a mean number of relapses less than 170. -Identify the P-value and level of significance.

For the next questions, find the P-value using the given information -Right-tailed test;

For the next questions, find the P-value using the given information -Biologists studying the tropical reestablishment of bursera simaruba, the gumbo- limbo tree, monitored the survival of a sample of 90 trees to determine if the population survival rate was greater than 35%. After five months, the survival rate of the trees was 45%. For the next two questions, find the P-value using the given information.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. Biologists are investigating if their efforts to prevent erosion on the bank of a stream have been statistically significant. For this stream, a narrow channel width is a good indicator that erosion is not occurring. Test the claim that the mean width of ten locations within the stream is more than 3.7 meters. Use a .05 significance level and the following sample data: -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

Find the critical value z assuming application of a normal distribution. -Left-tailed test; Find the value of the test statistic z using the following information.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. The Common Murre population of birds became endangered in California due to an oil spill. Biologists want to know if their efforts to restore the colony have been successful. Since the breeding colony of birds is site dependent, the mean number of breeding pairs of Common Murres were observed at a specific rock known to be a breeding site. Test the claim that the mean number of breeding pairs of the Common Murre is greater than 400. Use a .05 significance level and the following raw data collected from seven days of observations: -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

For the next questions, test the given claim using the P-value method for hypothesis testing about a proportion. Assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions can be approximated by a normal distribution. In order to track the percentage of misdiagnoses by Emergency Room doctors, a sample of 900 patients revealed that 45 patients were misdiagnosed with indigestion instead of a heart attack. Test the claim that physicians misdiagnose less than 6% of heart attacks. Use a .01 significance level. -Identify the null hypothesis and alternative hypothesis.

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. Health care administrators at Atlanta area hospitals are investigating whether the quality of care given to pneumonia patients varies less than the United States hospital population standard deviation of 16. From a sample of nine Atlanta area hospitals, they found the portion of pneumonia patients who were given initial antibiotics within the first four minutes of arrival had a standard deviation of 10. Use a .05 significance level to test the claim that Atlanta area hospitals have less variation in the quality of care given to pneumonia patients than United States hospitals. -Identify the critical value(s).

For the next questions, test the given claim using the P-value method for hypothesis testing about a proportion. Assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions can be approximated by a normal distribution. In order to evaluate patient response to a course of therapy to treat brain tumors, a sample of 300 patients revealed that 96 patients were responsive to a certain course of treatment. Test the claim that more than 30% of patients with brain tumors were responsive to treatment. Use a .01 significance level. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. Health care administrators at Atlanta area hospitals are investigating whether the quality of care given to pneumonia patients varies less than the United States hospital population standard deviation of 16. From a sample of nine Atlanta area hospitals, they found the portion of pneumonia patients who were given initial antibiotics within the first four minutes of arrival had a standard deviation of 10. Use a .05 significance level to test the claim that Atlanta area hospitals have less variation in the quality of care given to pneumonia patients than United States hospitals. -Identify the null hypothesis and alternative hypothesis.