Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean ln (plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with standard deviation=0.54. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population. •How many people would need to be studied to have 95% power under the assumptions? (assuming that the difference is 0.20 ln units.)
Added by Juan O.
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In this case, the difference in means is 0.20 ln units and the standard deviation is 0.54. So the effect size is 0.20/0.54 = 0.37. Show more…
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Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean ln(plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with a standard deviation of 0.54. A study of 100 sedentary people in this age group is planned to test if they have a different level of plasma-glucose than the general population and assume that the sample mean and standard deviation are obtained as 5.20 and 1.25, respectively. (Use alpha=0.05). a) State the null and alternative hypotheses. b) Calculate the test statistic and critical value. c) Graph your curve and mark the critical value and rejection region. d) Based on the test statistic and critical value, state your conclusion. e) Construct a 90% confidence interval estimate for the true mean plasma-glucose level.
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During routine screening, a doctor notices that 20% of her adult patients show higher than normal levels of glucose in their blood—a possible warning signal for diabetes. Hearing this, some medical researchers decide to conduct a large-scale study, hoping to estimate the proportion to within 5% with 98% confidence. How many randomly selected adults must they test? The number of adults that should be tested is . (Round up to the nearest whole number.)
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During routine screening, a doctor notices that $22 \%$ of her adult patients show higher than normal levels of glucose in their blood - a possible warning signal for diabetes. Hearing this, some medical researchers decide to conduct a large-scale study, hoping to estimate the proportion to within $4 \%$ with $98 \%$ confidence. How many randomly selected adults must they test?
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