Suppose a female patient had 10 blood test over the past year , and the sample mean HC was determined to be 15.3. With a level of significance a= 0.05, determine whether the patient's HC is higher than the population averages. Specifically do the following: write the data state null hypothesis H0 and the alternate hypothesis H1
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Let ex be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has a approximately
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- Consider a normal population with µ = 50 and σ = 6. A sample size of at least which size needs to be obtained in order to achieve a standard error of σM = 2 or less?A sample from a normal population with u=50 and o =6 has a mean of M =48.20.If the sample mean corresponds to a z=-1.50,then how many scores are in the sample?The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9440 observations, the sample mean interval was x1 = 63.6 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,053 observations, the sample mean time interval was x2 = 72.8 minutes. Historical data suggest that ?1 = 8.21 minutes and ?2 = 12.62 minutes. Let ?1 be the population mean of x1 and let ?2 be the population mean of x2. (a) Compute a 95% confidence interval for ?1 – ?2. (Use 2 decimal places.) lower limit =__ upper limit =__
- In a sample of 14 randomly selected high school seniors, the mean score on a standardized test was 1181 and the standard deviation was 162.1. Further research suggests that the population mean score on this test for high school seniors is 1019. Does the t-value for the original sample fall between −t0.99 and t0.99? Assume that the population of test scores for high school seniors is normally distributed.A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean u 81 and standard deviation o = 25. Note: After 50 years of age, both the mean and standard deviation tend to increas For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) A USE SALT (a) x is more than 60 (b) x is less than 110 (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125) Need Help? Read It Watch ItThe U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9060 observations, the sample mean interval was x1 = 62.4 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,755 observations, the sample mean time interval was x2 = 70.8 minutes. Historical data suggest that σ1 = 8.07 minutes and σ2 = 12.20 minutes. Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. (a) Compute a 99% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limit
- The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9060 observations, the sample mean interval was x1 = 62.4 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,638 observations, the sample mean time interval was x2 = 70.8 minutes. Historical data suggest that σ1 = 8.07 minutes and σ2 = 11.57 minutes. Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. (a) Compute a 90% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limitThe U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9240 observations, the sample mean interval was x1 = 63.6 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 24,170 observations, the sample mean time interval was x2 = 69.2 minutes. Historical data suggest that σ1 = 8.00 minutes and σ2 = 12.62 minutes. Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. (a) Compute a 99% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limitThe lifetime X of a certain electronic component in hours is an exponential random variable with a mean of 4.3. Determine the variance of X. The answer should be a number rounded to five decimal places,
- Consider a normally distributed population of scores with a mean μ = 100 and σx = 10. What score has a Z value of -0.82?Assume the random variable X is normally distributed, with mean μ=50 and standard deviation σ=7 Find the 81st percentile.A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At α = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient 1 2 3 4 5 6 7 Total Blood Cholesterol (Before) 205 220 240 235 250 270 230 Total Blood Cholesterol (After) 196 217 242 232 245 267 225 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where μμ₁ −μ₂. Choose the correct answer below. A. Ho: Hd #0 HA: Hd=0 B. Ho: Hd ≤0 HA: Md>0 C. Ho: Hd = 0 HA: Md #0 D. Ho: Hd 20…