5,60,60,61,61,62,62,62,63,63,63,64,64,64,64,64,64,64,65,65,65,65,66,67,67,67,67,68,68,68,70,70,72,72,72,72,74,74,510Mean = 2954/39 = 75.7436Standard deviation = 72.1299 Confidence Level is 0.90Or 90% then x=0.10T value at x=0.10 dt=(39-1=38) is =1.6990% confidence interval for = x t x s/n=75.7436 1.69x 72.1299/39=(55.657, 94.603) We are 90% confident that true mean lies between 55.657 to 94.603When confidence level is 95%x=0.05T value =0.05 =38 is 2.0295% confidence interval= 75.7432.02x 72.1299/39=(51.748, 98.512We are 95% confident that true mean lies between 51.748 to 98.512We confidence level is 99% x=0.01 tc=2.71Then 99% confidence interval is = x t x s/n=75.1299 +- 2.71x 72.1299/ 39=(43.811, 106.448)We are 99% confident that true population mean lies between 43.811 and 106.448 Sample mean= 75.1299Sample standard deviation= 72.1299Sample size= 39HypothesisSample mean x= 75.744Sample standard deviation s= 72.13Sample size n= 39 The following null and alternative hypotheses need to be tested Ho = 72Ha 72It's a two-tailed test which will be a t-test for one mean. With unknown population standard deviation. Significance level =0.05Critical value= tc= 2.024 t-test = x-o / (s/n) = 75.744-72/(72.13/39) =0.324 |t|=0.324 tc =2.024 Null hypothesis is not rejected P= 0.7476 Since p=0.74760.05 concludes that the null hypothesis is not rejected. Conclusion, null hypothesis is not rejected, there is not enough evidence to claim the population mean is different than 72, at 0.05 significance level. Confidence interval 95% confidence interval is 52.362<<99.126Question: A minimum of a five-sentence summary of your findings. Use the following questions to guide you in writing this summary.(1) What conclusions can you make based on the results you collected? (2) Do you think there were any bias that might have made your outcome what it was?(3) Based on the data sampling we collected at the beginning of the semester, do you believe it was a good representation of your conclusion?(4) After completing this assignment/project, are there any areas of statistics that are still not clear to you? Be as specific as possible.