Question

Question 9 6 pts Use the given degree of confidence and sample data to construct a confidence interval for the population mean p. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 76 and the standard deviation was 7.7, construct a 99% confidence interval for the mean score of all students. 72.14< < 79.89 73.61 < p < 78.39 72.13 << 79.87 72.54 < p < 79.46

Answer 1

Solution Let us Consider given data : 7) = 30 X = 76 F8 99%. :-) 0.99 S =707 dfonal 230- 29 Now, tal, de 0.0112,29 => 2.756 F31 99.7. confidence Interval is 8 td,dp * → 76 + 2.756 * 7.7 V30 76 2. 756 * 7.7 5.479 => 76 I 2.756 * 1.4059 => 76 + 3.8747 case(i): 76 - 3.8743 72.1253 72.13 Case li) : 76 +.3.8747 79.8747 N79.87 option (C): 72.13. <ll< 79.87