In: Math
Answer the questions below using the appropriate statistical technique. 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 χ 2 (critical) score corresponding to the α 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 a sample standard deviation of 10. Construct three different confidence intervals to estimate the population mean, using 95%, 99%, and 99.9% levels of confidence. What happens to the interval width as the confidence level increases? Why?