GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. a) Assum
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Q: A random sample of 88 eighth grade students' scores on a national mathematics assessment test has…
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A: here given, sample mean = 1.53 sample standard deviation = s= 0.1 significance level = 0.01
Q: An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or…
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A: Solution: Given information: n1= 35 Sample size make A n2= 35 Sample size make Bx1=43 feet Sample…
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A: Given Data n = 100; x̅ = 9.8; s = 0.4. degrees of freedom = n – 1 = 100 – 1= 99.
Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.6…
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Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.5…
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GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. a) Assum- ing a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer’s claim. (b) At the 1 percent level of significance (α 5 .01) does the sample exceed the manufac- turer’s claim? (c) Find the p-value.
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- A random sample of 75 eighth-grade students score's on a national mathematics assessment test has a score o 272. This test result prompts a state school administrator to declare that the mean score for the state’s eighth graders of this exam is more than 270. Assume that the population standard deviation is 30, At a = 0.03, is there enough evidence to support the administrator’s claim? Compare parts (a) through (e).To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 44feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). a) identify the claim and state Ho and Ha b) find the critical values and identify the rejection regions c) Find the standardized test statistic z d) Decide whether to reject or fail to reject the null hypothesis. e) Interpret the decision in the context of the original claim.The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation s = 0.4. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The sample mean of these 100 measurements is X = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 10? To answer this question, we perform the following hypothesis test: H0: u = 10, Ha: u < 10. What is the test statistic? (use two decimal places in your answer) What is the p-value equal to? At the 10% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECT t the 5% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECT
- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.1 and a standard deviation of 64.3. (AIl units are 1000 cells/L.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 124.5 and 381.7? b. What is the approximate percentage of women with platelet counts between 188.8 and 317.4?The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.8 and a standard deviation of 63.6. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 120.6 and 375.0? b. What is the approximate percentage of women with platelet counts between 184.2 and 311.4? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 120.6 and 375.0. (Type an integer or a decimal. Do not round.)The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.6 and a standard deviation of 62.8. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2? b. What is the approximate percentage of women with platelet counts between 62.2 and 439.0? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 62.2 and 439.0. (Type an integer or a decimal. Do not round.)
- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.5and a standard deviation of 66.2. (All units are 1000 cells/μL.)Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 125.1 and 389.9? b. What is the approximate percentage of women with platelet counts between 58.9 and 456.1? a. Approximately enter your response here%of women in this group have platelet counts within 2 standard deviationsof the mean, or between 125.1and 389.9. (Type an integer or a decimal. Do not round.) b. Approximately enter your response here% of women in this group have platelet counts between 58.9 and 456.1. (Type an integer or a decimal. Do not round.)It is claimed that an automobile is driven on the average more than 20,000 kilometers per year. To test this claim, a random sample of 100 automobile owners were asked to keep a record of the kilometers they travel. Would you agree with this claim if the random sample showed an average of 23,500 kilometers and std deviation of 3900 kilometers? Use α = 0.05. Use a P-value in your conclusion. Please make the solution detailed and clear.The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.8and a standard deviation of 61.5. (All units are 1000 cells/μL.)Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 124.8 and 370.8? b. What is the approximate percentage of women with platelet counts between 63.3 and 432.3?
- Archives of the Journal of Internal Medicine claimed that garlic has no effect on blood cholesterol, in other words than the mean drop in cholesterol after treating with raw garlic is 0.0 mg/dL. A clinical trial involving 36 subjects was conducted to test the effectiveness of garlic for lowering cholesterol. The sample mean for the drop in cholesterol was 3.5 mg/dL with a standard deviation of 18.0 mg/dL. Complete the following steps using α=0.01 level of significance to test whether the mean drop in cholesterol is greater than 0.0 mg/dL when treating with raw garlic. (NOTE: All areas are to be reported to four decimal places; all z-scores are reported to two decimal places except the two special cases listed at the bottom of the table.) Insert the following values from the question: μ = Answermg/dL x̅ = Answermg/dL σ = Answermg/dL n = Answer subjects α = Answer Set up the hypothesis statements (no spaces between characters): H0: Answer H1: Answer Based on the hypothesis…The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 254.2 and a standard deviation of 68.9. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 116.4 and 392.0? b. What is the approximate percentage of women with platelet counts between 185.3 and 323.1? a. Approximately (Type an integer or a decimal. Do not round.) % of women in this group have platelet counts within 2 standard deviations of the mean, or between 116.4 and 392.0. b. Approximately % of women in this group have platelet counts between 185.3 and 323.1 (Type an integer or a decimal. Do not round.)The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) u. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but measurements on a random sample of 100 cigarettes of this brand gave a mean of = 1.53 and standard 1. deviation s = 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actually higher than advertised? Use a = 0.01. (a) Set the appropriate hypotheses for the question. (b) Find the value of the standardized test statistic. (c) Find the rejection region. (d) What is your decision? (e) Find the p-value of this test.