A sample of 10 cognitive-test scores (which we can refer to as the variable X) are as follows: 9888971181039899106861071. [1 point] What is the mean of X?2. [3 points] What is the standard deviation of X?3. [3 points] What is the estimated standard error for the sample mean of X?4. [10 points] Using these data for X, compute a 95% t-confidence interval for μ.a) what is the degrees of freedom?b) what is the critical value?c) what is the margin of error?d) what is the lower confidence limit?e) what is the upper confidence limit?5. [8 points] Using these data for X, do a two-tailed hypothesis test of the null hypothesis that μ = 105. Use α = .05.a) write out the formal statements of the null and alternative hypothesesb) what is the critical value?c) what is the value of the calculated test statistic?d) what is the conclusion of the hypothesis
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