Answer the questions below using the appropriate statisticaltechnique. For questions involving the use of hypothesis testing,you must:
1. State the null and research hypotheses
2. Provide the Z(critical), T(critical), or ? 2 (critical) scorecorresponding to the ? threshold for your test
3. Provide your test statistic
4. Provide your decision about statistical significance
A random sample of 350 persons yields a sample mean of 105 and asample standard deviation of 10. Construct three differentconfidence intervals to estimate the population mean, using 95%,99%, and 99.9% levels of confidence. What happens to the intervalwidth as the confidence level increases? Why?