Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
Answer:
Step-by-step explanation:
<h3>Given</h3>
- f(x) = 2^x + 5x and g(x) = 3x - 5
<h3>To find </h3>
<h3>Solution</h3>
- (f+ g)(x) =
- f(x) + g(x) =
- 2^x + 5x + 3x - 5 =
- 2^x + 8x - 5
Answer: Reflection over the x-axis
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