Student 37 10 12 10 score[871029451111575741169811496100 Assume that IQ is normally distributed with mean m and variance

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Student 37 10 12 10 Score 871029451111575741169811496100 Assume That Iq Is Normally Distributed With Mean M And Variance 1 (47.75 KiB) Viewed 25 times

Student 37 10 12 10 score[871029451111575741169811496100 Assume that IQ is normally distributed with mean m and variance 1. If=196, construct a 95% confidence interval for m, the true mean IQ in the population. (5 Marks) 2. What sample size is necessary to ensure an interval width w 10? (5 Marks) Now consider unknown. Is the claim that m is less than 100 justified? Perform a test at the a=0.10 level of significance, by the following 5 steps: (10 Marks) Step 1. Hypotheses and significance level: Hoi H: a Step 2. Test Statistic and its sampling distribution under H: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: Step 5. Decision and conclusion (interpretation of the result): Part II. (15 Marks) In an initial drugs test, 5.8% of job applicants tested negative. It is claimed that now the rate is lower. A random sample of 1520 current job applicants ended in 58 negative results. Construct a 95% confidence interval for p, the true proportion of negative results in the population (classical form) (5 Marks) 2 Conduct a statistical test of hypothesis on this claim at the 0.01 level of significance, by the same 5 steps as above. (10 Marks)