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Vinvika [58]
3 years ago
7

PLEASE HELP "Given a sample mean of 3.56 and a standard deviation of 0.98, which value falls within the 90% confidence interval

for a sample size of 45?"
A.
3.21
B.
3.28
C.
3.83
D.
3.57
Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0

Answer:

D. 3.57

Step-by-step explanation: Edmentum

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Second step. <u>Calculate the standard deviation</u>

\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}

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As the number of data is less than 30, we must use the t-table to find the interval of confidence.

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We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

\bar X \pm t\frac{\sigma}{\sqrt n}

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

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