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- Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 µg/l? Based on your preceding result, without performing a calculation, would a 99% confidence interval for this difference contain 0? Explain why or why not.#1 Of the following, which one is an observational study? measuring the average strength of a batch of metal by stressing some sample pieces until they deform Asking people for their opinion on the taste of a new cereal tracking the temperature in a city over a five year period Checking the effectiveness of a new headache medicine by giving one group the new medicine and one group acetaminophenA sample of n=25 scores has a mean of M=68. Find the z-score for this sample: if it was obtained from a population with u=60 and 0=10
- Suppose a variable is Normally distributed with μ=345 and sigma σ=30. What proportion of the data has values below 350? Use four decimal places in your answer. Suppose a variable is Normally distributed with μ=345 and sigma σ=30. What proportion of the data has values above 390? Use four decimal places in your answer. Suppose a variable is Normally distributed with μ=345 and sigma σ=30. What proportion of the data has values between 330 and 345? Use four decimal places in your answer.To see the effect of a relatively small error in the estimate of the amount of carbon-14 in a sample being dated, consider this hypothetical situation: a. A bone fragment found in central Illinois in the year 2000 contains 17% of its original carbon-14 content. Estimate the year the animal died. b. Repeat part (a), assuming 18% instead of 17%. c. Repeat part (a), assuming 16% instead of 17.A manufacturer claims that the tensile strength of a certain composite (in MPa) has the lognormal distribution with μ = 5 and σ = 0.5. Let X be the strength of a randomly sampled specimen of this composite. a) If the claim is true, what is P(X < 20)? b) Based on the answer to part (a), if the claim is true, would a strength of 20 MPa be unusually small? c) If you observed a tensile strength of 20 MPa, would this be convincing evidence that the claim is false? Explain. d) If the claim is true, what is P(X < 130)? e) Based on the answer to part (d), if the claim is true, would a strength of 130 MPa be unusually small? f) If you observed a tensile strength of 130 MPa, would this be convincing evidence that the claim is false? Explain.
- An experiment was conducted to see the effectiveness of two antidotes to three different doses of a toxin. The antidote was given to a different sample of participants five minutes after the toxin. Thirty minutes later the response was measured as the concentration in the blood. What can the researchers conclude with α = 0.05? Dose Antidote 5 10 15 1 0.61.11.1 7.21.52.4 3.14.15.9 2 1.11.21.1 1.71.31.5 2.13.12.1 A) Obtain/compute the appropriate values to make a decision about H0.Antidote: critical value = test statistic = Decision: Dose: critical value = test statistic = Decision: Interaction: critical value = test statistic = Decision: B) Compute the corresponding effect size(s) and indicate magnitude(s).Antidote: η2 = Dose: η2 = Interaction: η2 =A sample of n= 64 scores has a mean of M= 68. Assuming that the population mean is u=60, find the z-score for this sample: If it was obtained from a population with o= 16 Z=Q.5.2 The CEO of a large financial institution claims that, on average, their clientsinvest more than R150 000 per year in a particular portfolio. Test this claim atthe 10% significance level if it was found that a sample of 25 clients invested anaverage of R145 000 in the portfolio over the last year, with a standarddeviation of R15 000.
- We ask if visual memory ability for a sample of 25 art majors (X = 49) is better than that for a population of engineering majors (m = 45 and = 14). Higher scores indicate a better memory. (d) Compute zobt. (e) What is zcrit? (f) What do you conclude about differences in visual memory ability?The united States ranks ninth in the world in per capita chocolate consumption; the aver- age American eats 9.5 pounds of chocolate annually (Forbes, July 22, 2015). Suppose you are curious whether chocolate consumption is higher in Hershey, Pennsylvania, the location of The Hershey Company’s corporate headquarters. A sample of 36 individuals from the Hershey area showed a sample mean annual consumption of 10.05 pounds and a standard devi- ation of s = 1.5 pounds. using α = 0.05, do the sample results support the conclusion that mean annual consumption of chocolate is higher in Hershey than it is throughout the united States?
