Find the level of a two-sided confidence interval that is based on the given value of tn−1,α/2and the given sample size.a) t = 2.776, sample size 5.b) t = 2.718, sample size 12.c) t = 5.841, sample size 4.d) t = 1.325, sample size 21.e) t = 1.746, sample size 17.

For one binomial experiment, ni = 75 binomial trials produced ri = 30 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 50 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. (a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.) (b) Check Requirements: What distribution does the sample test statistic follow? Explain. O The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. (c) State the hypotheses. O Ho: P1 = P2i H1: P1 * P2 %3D O Ho: P1 = P2i Hi: P1 P2 %3D (d) Compute p1 - p^2- p'1-P°2 = Compute the corresponding sample distribution value. (Test the…

Find the sample size needed to estimate the mean age of movie patrons such that it can be said with 90​% confidence that the sample mean is within 1 year of the population mean. Assume that =19.3 ​years, based on a previous report. Could the sample be obtained from one movie at one​ theater? THe required sample size is?

1.3.2 Consider the output given below that was obtained using the One Proportion applet. Use information from the output to find the standardized statistic for a sample propor- tion value of 0.45. Probability of success (n): 0.30 Sample size (n): 25 Number of samples: 1000 O Animate Draw Samples Total = 1000 180 Mean = 0.301 SD = 0.091 120 60 0.08 0.16 0.24 0.32 0.40 0.48 0.56 0.64 Proportion of success

Which alternative hypotheses will allow you to determine statistical significance at α = 0.05 using a 95% confidence interval?   H a: μ = 30 H a: μ > 30 H a: μ ≠ 30 H a: μ <30

A previous study estimated the value of p to be 0.54. Find the minimum sample size required to ensure that your estimate ("p) will be within 0.01 of p with 90% confidence.

6.2.3 Find the critical value t, for the confidence levelc=0.99 and sample size n= 12. Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.)

Find the critical value to for the confidence level c = 0.80 and sample size n = 10. tc = Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.)