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3 years ago

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WILL MARK BRAINLIEST A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviatio

n of the sample being 16. What is the 68% confidence interval for the mean of the population?
A. (115, 123)
B. (117, 121)
C. (113, 125)
D. (118, 120)

1 answer:

Anettt [7]3 years ago

6 0

Answer:

B. 117, 121

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

$5J +2S =12.20 ........(1)\\5J+10S=15.80......(2)\\Multiply \:equation \:(1)\:by\:the\:coefficient\:of\:x\:in equation\:(2)\\\\Multiply\:equation(2)\: by\: the\: coefficient\:of \:x\: in \:equation (1)\\\\5J +2S =12.20 ........(1) \times 5\\5J+10S=15.80......(2)\times 5\\\\25J+10S=61......(3)\\25J+50S = 79......(4)\\Subtract\:equation\:(4)\:from\: equation\: (3)\\-40S =-18\\\frac{-40S}{-40}=\frac{-18}{-40}\\ S = 9/20\\$

$Substitute \:9/20\:for \:x \:in\:equation\:(1)\:or \:equation\:(2)\\5J+2S = 12.20\\5J +2(9/20) =12.20\\5J +9/10=12.20\\5J=12.20-9/10\\5J=113/10\\Cross-Multiply\\50J = 113\\J = 113/50$

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