Include all MINITAB outputs with your assignment l. Hypothesis test for ? when ?
ID: 3052647 • Letter: I
Question
Include all MINITAB outputs with your assignment l. Hypothesis test for ? when ? is known [10 Marks The average age of students entering third year of university is believed to be 19.5 years. Assume that the population standard deviation is 1.5 years. Nowadays it is becoming more common for students to take a break after finishing high school and before entering university. It is of interest to investigate if this causes a significant increase in the average age. Assume that 20 researchers conducted studies independently to test the following hypothesis: Ho: 19.5 Ha: ? > 19.5 Assume that the sample size is 30 and is the same for all 20 studies. To simulate the results of these 20 studies and conduct the hypothesis test at a -0.05, follow the following steps: 1. From the menu, select calc then Random Data then Normal.. 2. Type 30 in Number of rows of data to generate, cl-c20 in Store in column(s), 19.5 in Mean:, and 1.5 in Standard Deviation: then press OK. 3. From the menu, select Stat then Basic Statistics then 1-Sample Z... 4. Keep the one or more samples, each in a column option and type cl-c20, 1.5 for known standard deviation and 19.5 for Hypothesized mean then click Options. 5. in the Confidence level: type 95 and change the Alternative hypothesis: to mean > hypothesized mean then click OK and OK again. 6. Make sure you copy the results and include them with your assignment. Question: In how many tests did you reject Ho?Explanation / Answer
If In summary (after clicking OK ) if your p-value is less than 0.05 then reject H0
similarlly for second problem also if p-value is less than 0.05 then reject Ho
2) Result are different because in first case sample from normal distribution and in next case it is from exponential distribution.