Construct a 90% confidence interval for a sampling distribution having means of {4, 4, 4, 4.2, 4.2, 4.3,4.3, 4.3, 4.4, 4.4, 4.4, 4.4, 4.5, 4.5, 4.6, 4.7, 4.7, 4.7, 4.8, 4.8, 4.8, 4.9, 4.9, 4.9, 4.9, 5, 5, 5, 5, 5, 5, 5.1, 5.1,5.1, 5.2, 5.2}. The standard deviation of the population from which these samples were drawn wasknown to be: ơ =0.357.4.558 to 4.79210% to 90%4.567 to 4.7834.577 to 4.773Construct a 95% confidence interval for a sampling distribution having means of {4, 4, 4, 4.2, 4.2, 4.3,4.3, 4.3, 4.4, 4.4, 4.4, 4.4, 4.5, 4.5, 4.6, 4.7, 4.7, 4.7, 4.8, 4.8, 4.8, 4.9, 4.9, 4.9, 4.9, 5, 5, 5, 5, 5, 5, 5.1, 5.1,5.1, 5.2, 5.2}. The standard deviation of the population from which these samples were drawn wasknown to be: ơ =0.357.4.577 to 4.7735% to 95%4.567 to 4.7834.558 to 4.792Which of the following is a characteristic of the Z-test?Follows a Z-distributionMore adaptable than t-test