When the confidence level was changed from 95% to 90%, how did the standard error and width of the confidence interval change? "When the confidence level decreased, the standard error. "When the confidence level decreased, the width of the confidence interval.Activity 2. Mean Commute Distance in Atlanta In this question set you will use the "Atlanta Commute (Distance)" dataset that is built into StatKey to construct bootstrap confidence intervals to estimate the mean commute distance in the population of all Atlanta commuters. These data were collected from a random sample of 500 commuters in Atlanta, Georgia. DD Question 8 14 pts Activity 2_A: Using the percentile method, construct a 95% confidence interval to estimate the mean commute distance in Atlanta. Take at least 5,000 resamples. Include a screenshot of your bootstrap sampling distribution from Statkey showing your confidence interval and clearly identify your answer.Given your confidence interval in Activity 1_A, is there evidence that the proportion of all Missouri residents planning to buy a house in the population is different from 0.50 (i.e., half)? Explain why or why not.Activity 1_D: What if the sample size were 10 times bigger? Find the confidence interval if we had a sample where 260 out of 750 participants were planning to buy a house. Use StatKey to construct a 95% confidence interval using the percentile method with these new data (x=260, n=750). Take at least 5,000 resamples. Don't forget to include a screenshot from StatKey and to clearly identify your answerYour 95% confidence intervals in Activity 2_A and Activity 2_C should be similar, but they probably won't be exactly the same. Explain why the confidence intervals you constructed using the percentile method and the standard error method are not exactly the same. In other words, why may we expect the answers to Activity 2_A and Activity 2_C to be slightly different?Activity 2_B: Describe the shape of your bootstrap distribution from Activity 2_AT Is it normally distributed or skewed?Interpret the meaning of the confidence interval constructed in Activity 1_A by completing the phrase below. "I am 95% confident...Using the dataset with 260 out of 750 residents planning to buy a house next year, construct a 90% confidence interval in Statkey using the percentile method. Take at least 5,000 resamples. Don't forget to include a screenshot from StatKey and to clearly identify your answer.Activity 2 C: Using the standard error method, construct a 95% confidence interval for mean commute distance in Atlanta. You can use the standard error from the bootstrap distribution you constructed in Activity 2_A. Show all your calculations.Activity 1_A: In a random sample of 75 Missouri residents, 26 said they were planning to buy a house next year, and the rest weren't. Use Statkey to construct a 95% bootstrap confidence interval using the percentile method to estimate the proportion of Missouri residents in the population who are planning to buy a house next year. You can enter the sample data into Statkey using the "Edit Data" button. Remember to take at least 5.000 resamples. Don't forget to include a screenshot from StatKey and to clearly identify your answer.When the sample size was increased, how did the standard error and width of the confidence interval change? "When the sample size increased, the standard error.. "When the sample size increased, the width of the confidence interval