# Statistics Questions

## Transcribed Text

Question The age in years) of a sample of 20 motor cyclists killed in road traffic accidents is given below: 18 41 24 28 71 52 15 20 21 31 16 24 33 44 20 24 16 64 24 32 (i) Draw histogram Isthe distribution symmetric or skewed? (ii) Calculate the nean, median and mode. (iii) Calculate the range, inter quartile range, and standard deviation. Whichofthese better to describe the variability of these data? (iv) Calculate the confidence interval Question 2. The table below shows the height of 12 fathers and their fully grown sons: Father's Height (cm) Son's heigh (cm) 190 189 184 186 183 180 182 179 179 187 178 184 175 183 174 171 170 170 168 178 165 174 164 165 (i) Draw. scatter plot of father's height versus son's height From the graph, does there appear to be relationship bet ween the two (ii) variables? Question The table below shows the results of randomized, double-blind, placebo controlled trial examining whether patients with thronic fatigue syndrome (CFS) improved 6 weeks after treatment with intramuscular magnesium. The group who received the magnesium were compared to group who received placebo and outcome was feeling better Do these data suggest that the magnesium- treated CFS patients have different outcomes to placebo-treated patients after weeks of treatment? What the Chi square result? Treatment Outcome Felt Better Did Not Feel Better Total Magnesium 12 3 15 Placebo 3 14 17 Total 15 17 32 No difference in outcomes proportion of CFS patients feeling better at weeks HO between the magnesium and placebo treated groups There adifference in outcomes, proportion ot CFS patients feeling better at 6 H1 weeks between the magnesium and placebo treated groups Question Two physicians examined results of 50 randomized double blind placebo-controlled trial examining whether patients with chronic fatigue syndrome (CFS)improved 6 weeks after treatment with intr ramuscular magnesium The group who received the magnesium were compared to group who received placebo and outcome was feeling better Physician/ believed 15 patients received magnesium as opposed to placebo. Physician believed 20 patients received magensium as opposed toplacebo. They both agreed on 9 patient cases having received magnesium as opposed to placebo What is the Chi square result? Treatment Outcome Physician B Physician Placebo Total Magnesium Physician A- 9 ? 15 Magnesium Physician ? ? ? Placebo Total 20 ? 50 Question S. A researcher at SRVMC wishes to try three different techniques to lower the blood pressure of individuals diagnosed with high blood pressure. The subjects are randomly assigned to three groups Group : takes medication Group 2 exercises Group follows special diet. After four weeks, the reduction in each person's blood pressureis recorded. At an alpha levelof significance of 0.05. the researchers now must test the claim that therei no difference among the means. Medication Exercise Diet 10 6 5 12 8 9 9 3 12 15 8 13 2 4 Is he correct? Runthe appropriate test to determine if he correct Question Medical Rehabilitation Education Foundation found the average cost of rehab for stroke victims is \$24,672 this average wrong, outdated- -is the cost at other area local hospil tals different than the average? Researcher selects 35 random stroke patients and finds an average cost of \$25,226 withao = \$3251 At =0.01 canit be concluded that the cost of anaverage stroke rehab i different than the originally assumed \$24,672

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