Calculate the 95 percent confidence interval please show work
n = 20, mean = 9.10, standard deviation = 2.404, se mean = .538
True or false for each of the following question:
a. If a large number of random samples are selected and we form the 95% confidence interval for each sample mean, the population mean will lie in about 95% of these confidence intervals.
b. The 95% confidence interval around a given sample mean is wider than the 90% confidence interval around that mean.
c. If sample size is larger than 30, there is a 95% chance that the population mean will be in the confidence interval.
d. If a very large number of random samples are selected, there is a 95% chance that one of the sample means is equal to the population mean.
This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.Since n < 30 we will use a t distribution with (n-1) degrees of freedom. The critical value for a 95% confidence interval with 19 degrees of freedom is 2.093.
Lower limit: 9.1 – 2.093 x 0.538 = 7.974
Upper limit: 9.1 + 2.093 x 0.538 = 10.226
The confidence interval is...