4 Problems on Hypothesis Testing in Statistics - Examination | STAT 1222, Exams of Statistics

Download 4 Problems on Hypothesis Testing in Statistics - Examination | STAT 1222 and more Exams Statistics in PDF only on Docsity! Stat 1222. Professor: Dr. A. Biswas Hypothesis Testing (Mean (Small Sample) and Proportion) 1. Kim Patterson is running for a political office, on a platform of tougher treatment of convicted criminals. She claims that the mean prison terms for convicted embezzlers is less than 24 months. To test her claim, a random sample of 25 convicted embezzlers is selected. The sample yields the mean length of prison sentence as 22.1 months with a standard deviation of 8.6 months. Assume the population is normal. (a) State the null and the alternative hypotheses. H0 : Ha : (b) Find the value of the standardized test statistic based on the observed sample. (c) Find the critical values at level α = .05 and state the rejection rule. (d) State your decision. Is there enough evidence at α = .05 level to support the claim? 2. A travel association says the daily lodging costs for a family in US is $132. A random sample of 10 US families on an overnight trip yields an average lodging cost of $142.80 with a standard deviation of $37.52. Test the travel association’s claim at α = .02 significance level. Show all steps.