Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 90% confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places.
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Sample size n=24
Sample mean=65.7
Standard deviation=21.8
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- What is an experiment?You are interested in exploring the relationship between serum homocysteine levels and endometriosis. You collect data from 100 randomly selected people with endometriosis. Your sample has a mean serum homocysteine level of 47 µmol/L. You know that the mean homocysteine for healthy people who can develop endometriosis (ie. Have an endometrium) is 25 µmol/L with a standard deviation of 15 µmol/L. Use hypothesis testing to determine whether your sample (mean 47 µmol/L) has different levels of homocysteine than healthy people who can develop endometriosis (ie. We want to know whether those with endometriosis have different levels of homocysteine than the population of people who can develop endometriosis but are healthy) Identify a null and alternative hypothesis for a two-sided test. Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your…The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of 3 English courses with a standard deviation of 0.8. The females took an average of 4 English courses with a standard deviation of 1.0. Are the means statistically the same? Assume we are not pooling samples.
- You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.84. Thus you are performing a two-tailed test. Your sample data produce the test statistic z = 1.838. Find the p-value accurate to 4 decimal places. p-value =You are conducting a study to see if the average male life expectancy is significantly less than 98. Thus you are performing a left-tailed test. Your sample data produce the test statistic z = - 2.572 . Find the p-value, accurate to 4 decimal places. p-value =Peak expiratory flow (PEF) is a measure of a patient’s ability to expel air from the lungs. Patients with asthma or other respiratory conditions often have restricted PEF. The mean PEF for children free of asthma is 306. An investigator wants to test whether children with chronic bronchitis have restricted PEF. A sample of 50 children with chronic bronchitis is studied, and their mean PEF is 274 with a standard deviation of 59. When you run the appropriate test at a = 0.05, the appropriate conclusion to whether there statistical evidence of a lower mean PEF in children with chronic bronchitis is?
- Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of womenI need help, I'm stuck on this problem. I can't find p-value eitherThe mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of two English courses with a standard deviation of 0.9. The females took an average of three English courses with a standard deviation of 1.1. Are the means statistically the same? (Use ? = 0.05) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) What is the test statistic? What is the p-value? Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
- A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 8 years. A survey of 107 companies reported in The Wall Street Journal found a sample mean tenure of 7.4 years for CEOs with a standard deviation of s=s= 6 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.001α=0.001. Your hypotheses are: Ho:μ≥8Ho:μ≥8 Ha:μ<8Ha:μ<8What is the test statistic for this sample?test statistic = (Report answer accurate to 3 decimal places.)What is the p-value for this sample?p-value = (Report answer accurate to 4 decimal places.)The p-value is... less than (or equal to) αα greater than αA shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 10 years. A survey of 54 companies reported in The Wall Street Journal found a sample mean tenure of 8.4 years for CEOs with a standard deviation of s=s= 4.3 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.01. Your hypotheses are: Ho:μ≥10 Ha:μ<10What is the test statistic for this sample?test statistic = (Report answer accurate to 3 decimal places.)What is the p-value for this sample?p-value = (Report answer accurate to 4 decimal places.)The p-value is...??? less than (or equal to) αα greater than αα This test statistic leads to a decision to...??? reject the null…Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy individuals are Normally distributed with a mean of 3.2 mg/dl. Some areas of the United States have naturally elevated arsenic levels in the ground and water supplies. Researchers took a sample 20 water samples from a particular area and measured the arsenic levels in each of the 20 water samples. They want to determine if there is sufficient evidence to conclude that the arsenic level in that area is higher than 3.2 mg/dl. hypothesis test for one population mean (unknown population standard deviation) confidence interval estimate for one population mean (unknown population standard deviation) hypothesis test for population mean from paired differences confidence interval estimate for population mean from paired differences hypothesis test for difference in population means from two independent samples confidence interval estimate for difference in population means from two…