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slavikrds [6]
3 years ago
7

Temp at midnight 5 °C & temp is decreasing at rate of 2°C per hour show on number line

Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

suusy

Step-by-step explanation:

sus

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A 95 percent confidence interval for the mean of a population is to be constructedand must be accurate within 0.3 unit. A prelim
jarptica [38.1K]

Answer:

B. 359

Step-by-step explanation:

Given that:

The margin of error (e) must be within 0.3 unit, The standard deviation (σ) = 2.9 and the the confidence level = 95% = 0.95

α = 1 =0.95 = 0.05

\frac{\alpha}{2}=\frac{0.05}{2}=0.025

The z score of 0.025 corresponds to the z score of 0.0475 (0.5 - 0.025) which can be gotten from the normal probability table.

Therefore: z_\frac{\alpha}{2}= z_{0.025}=1.96

The formula for the margin of error is given by:

e=z_{0.025}\frac{\sigma}{\sqrt{n} } \\Substituting:\\0.3=1.96*\frac{2.9}{\sqrt{n} } \\\sqrt{n}=\frac{1.96*2.9}{0.3}\\\sqrt{n} =18.95\\  n=18.95^2=359

Therefore the smallest sample size (n) is 359

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3 years ago
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