1. The mean and standard deviation of the scores of a random sample of 45 Grade 10 students who took the final test are calculated to be 76 and 12.5, respectively. a. Find the 95% confidence interval for the mean of the entire grade 10 students. b. Find the lower and upper confidence limits. 2. A random sample of n = 15 data from the normal distribution with unknown variance produced x = 23.7 and s² = 2.89. a. Find a 98% confidence interval for the population mean b. Interpret the interval 3. The following were scores in a mathematics test selected by a teacher from all the test scores of

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I need answers no. 1 Z-Statistics No. 2 & 3 T- Statistics.
1. The mean and standard deviation of the scores of a random sample of 45 Grade 10 students
who took the final test are calculated to be 76 and 12.5, respectively.
a. Find the 95% confidence interval for the mean of the entire grade 10 students.
b. Find the lower and upper confidence limits.
2. A random sample of n = 15 data from the normal distribution with unknown variance produced
x = 23.7 and s² = 2.89.
a. Find a 98% confidence interval for the population mean
b. Interpret the interval
3. The following were scores in a mathematics test selected by a teacher from all the test scores of
Grade 10 students.
74
78
86
88
69
83
70
83
92
66
90
76
65
57
87
75
72
62
74
83
Transcribed Image Text:1. The mean and standard deviation of the scores of a random sample of 45 Grade 10 students who took the final test are calculated to be 76 and 12.5, respectively. a. Find the 95% confidence interval for the mean of the entire grade 10 students. b. Find the lower and upper confidence limits. 2. A random sample of n = 15 data from the normal distribution with unknown variance produced x = 23.7 and s² = 2.89. a. Find a 98% confidence interval for the population mean b. Interpret the interval 3. The following were scores in a mathematics test selected by a teacher from all the test scores of Grade 10 students. 74 78 86 88 69 83 70 83 92 66 90 76 65 57 87 75 72 62 74 83
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