In a study, a random sample of 25 specimens collected within a mile downwind from a certain factory contained on the average 2.6 micrograms of suspended benzene-soluble organic matter per cubic meter with standard deviation of 0.60. If 2.6 is used as an estimate of the mean of the population sampled, what can be said with 99 percent confidence about the maximum error?
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In a study, a random sample of 25 specimens collected within a mile downwind from a certain factory contained on the average 2.6 micrograms of suspended benzene-soluble organic matter per cubic meter with standard deviation of 0.60. If 2.6 is used as an estimate of the mean of the population sampled, what can be said with 99 percent confidence about the maximum error?
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- A study of hemoglobin (Hb) levels among adult males at high altitude (conducted in La Paz, Bolivia). The normal range of Hb level of the population is defined as 15.8 to 22.0.i If Hb has a normal distribution for this population with μ=18.5 and standard deviation=1.4, what percent of the population would be considered to have normal Hb?Suppose that the volume of sound generated by heavy machinery in a factory is normally distributed, with a mean of 50 dB and a standard deviation of 10 dB. If measurements are taken twice an hour during an eight hour period, 20% of the sample average sound volumes will be above what value?"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 4.6 feet. The mean braking distance for Make B is 46 feet. 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. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
- For samples of the specified size from the population described, find the mean and standard deviation of the sample meanx. The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a certain range, the annual snowfall has a mean of 83 inches and a standard deviation of 14 inches. Suppose the snowfalls are sampled during randomly picked years. For samples of size 49, determine the mean and standard deviation of x A) μ=83; 0x=2 B) μ = 2; σ= 83 Oc C) μ = 83; σ= 14 D) u 14; = 83 =A biologist is attempting to determine the mean weight of African elephants. She conducts a sample of 60 elephants, and finds a sample mean of 8954 lbs., with a standard deviation of 127 lbs. Assume that the distribution of weights of African elephants is nearly normal.Define your variable: Let μμ be the mean weight of all African elephants, in lbs.. Let μμ be the mean weight of the sampled African elephants, in lbs.. Let p be the proportion of elephants that weigh . Let p be the proprotion of elephants in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. and lbs.What is the margin of error? Round your answer to one decimal place. lbs.Another biologist believes that the mean weight of elephants is 89898989. What do you think of this claim? That claim is not in our interval. We do not believe it. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It is reasonable. The…By measuring the amount of time it takes a component of a product to move from one workstation to the next, a technologist has estimated that the standard deviation is 5.00 seconds. What sample size should be used in order to be 95% certain that the mean transfer is estimated to within ±1.00 seconds?
- A person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and females. Assume that the two samples are independent simple random samples selected from normally distributedpopulations, and do not assume that the population standard deviations are equal. Let population 1 be females. Female BMI: n=69 x=29.14 s=7.41 Male BMI: n=79 x=28.18 s=5.24 The test statistic is The P-value is Construct a confidence interval appropriate for testing the claim in part (a). The ___% confidence interval estimate is ___<μ1−μ2<___.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 REJECTA population of size 20 is sampled without replacement. The standard deviation of the population is 0.35. We require the standard error of the mean to be no more than 0.15. What is the minimum sample size?
