Question1: It is known the population IQ score follows a normal distribution with mean as 100, SD as 10. A researcher is interested in studying if the average IQ of students from statistics courses on...

Question1:
It is known the population IQ score follows a normal distribution with mean as 100, SD as 10. A researcher is interested in studying if the average IQ of students from statistics courses on average has a higher IQ score than the population IQ score. To test this hypothesis, the researcher randomly collected a sample of 25 students from statistic class, the mean IQ score for this sample is 110. Compete for the hypothesis test at   significant level.

Step 1: Hypothesis

Step 2: Criteria

Step 3: Calculation (hint: calculated the z score of )

Step 4: Conclusion (hint: if your obtained z score is more extreme than the critical z score, you could reject H0 and infer H1; if your obtained z score is less extreme than the critical z value, you will fail to reject H0)