In Exercises 5–20, assume that the two samples are independent simple random samples selected from
15. Are Quarters Now Lighter? Weights of quarters are carefully considered in the design of the vending machines that we have all come to know and love. Data Set 29 “Coin Weights” in Appendix B includes weights of a sample of pre-1964 quarters (n = 40,
a. Use a 0.05 significance level to test the claim that pre-1964 quarters have a mean weight that is greater than the mean weight of post-1964 quarters.
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
c. Do post-1964 quarters appear to weigh less than before 1964? If so, why aren’t vending machines affected very much by the difference?
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Chapter 9 Solutions
Elementary Statistics (13th Edition)
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- “Normal” BMI is up to 25 kg/m2. A laboratory study is being conducted to determine energy expenditure for those who are overweight and/or obese. The researchers have enrolled only subjects with BMI above 25.0 and have quantified obesity as “units above normal”. For example, a subject with BMI of 32.3 is recorded as 7.3 (i.e. 32.3 – 25.0 = 7.3). Using this scheme, the mean obesity was found to be 8.7 kg/m2and the standard deviation was 6.4 kg/m2. If we convert the obesity measure used in this study back into conventional BMI (i.e., add 25.0 units to each measurement), what will the standard deviation be? Group of answer choices The standard deviation will be larger on the BMI scale because 25.0 units will be added back. The standard deviation will be the same 6.4 kg/m2 There is not enough information to determine this The standard deviation will be smaller on the BMI scale because, as a percentage of the whole scale, the difference between each subject and the mean will be…arrow_forwardIs this correct so far?arrow_forwardA project based on touch therapy is presented at a science fair by a local high school student. In the science fair, practitioners of touch therapy are blindfolded to see if they can detect a "human energy field (HEF)" without touching patients. The student believes that a practitioner with less years of experience predicts more HEF correctly. What can be concluded with an a of 0.01? experience HEF 22 5 21 3 12 2 7 3 9. 5 28 7 15 13 4 4 9. 4 a) Select and compute the appropriate statistic. ---Select--- b) Obtain/compute the appropriate values to make a decision about Ho. Critical Value = X ; Test Statistic = |0.471 Decision: Fail to reject H0 ▼ c) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below... Effect Size = |0.027 ; Magnitude: na d) Make an interpretation based on the results. O Practitioners with more years of experience predict more HEF correctly. Practitioners with less years of experience predict more HEF…arrow_forward
- Suppose that a simple random sample is taken without replacement from a finite population of size N. a. Show mathematically that Equations (7.1) and (7.2) are identical for samples of size 1. b. Explain in words why part (a) is true. c. Without doing any computations, determine σ x for samples of size N without replacement. Explain your reasoning. d. Use Equation (7.1) to verify your answer in part (c).arrow_forwardA medical researcher says that less than 82% of adults in a certain country think that healthy children should be required to be vaccinated. In a randon sample of 300 adults in that country, 78% think that healthy children should be required to be vaccinated. At a = 0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) CA. Less than 82 % of adults in the country think that healthy children should be required to be vaccinated. O B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. O C. More than % of adults in the country think that healthy children should be required to be vaccinated. O D. % of adults in the country think that healthy children should be required…arrow_forwardListed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be adifference? Find the coefficient of variation for each of the two samples; then compare the variation. A. The coefficient of variation for the male pulse rates iS (Type an integer or decimal rounded to one decimal place as needed.) B. The coefficient of variation for the female pulse rates is (Type an integer or decimal rounded to one decimal place as needed.)arrow_forward
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