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QUESTION 16 Problem 16) 4 points In order to make inference about average time SHSU students check the emails, a sample of students was surveyed for how many times a day they check their emails. The responses were recorded as 20. 19. 15. 13, 27, 29, 19, 22, 25. (Question) Find the lower bound of the 95% confidence interval. points QUESTION 17 Problem 17) In order to make inference about average time SHSU students check their emails, a sample of students was surveyed for how many times a day they check their emails. The responses were recorded as 20, 19, 15, 13, 27. 29. 19. 22. 25. (Question) Find the Upper bound of the 95% confidence interval Save and it cit Saw All Answers to sell answers

Answer 1

Σx = 189 Σx2 = 4195 ΣΧ Mean i - n 20 + 19 + 15 + 13 + 27 + 29 + 19 + 22 + 25 Π. 9 189 9 = 21 (Σx)2 Σx2. n Sample Standard deviation S = η - 1 2 (189) (4195 - 9 8 14195 - 3969 8 1226 V230 /28.25 = 5.3151

The provided sample mean is X = 21 and the sample standard deviation is s = 5.3151. The size of the sample is n = 9 and the required confidence level is 95%. = The number of degrees of freedom are df 9 – 1 = 8, and the significance level is a = 0.05. Based on the provided information, the critical t-value for a = 0.05 and df = 8 degrees of freedom is te = 2.306. The 95% confidence for the population mean u is computed using the following expression tc xs CI - (* X X + te x s vn 2 vn Therefore, based on the information provided, the 95% confidence for the population mean u is 2.306 x 5.3151 2.306 x 5.31 CI= (21 21 21 + 2 co V9 = - (21 – 4.086,21 +4.086) = (16.914, 25.086)

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