Mathematics
22.08.2021 04:19
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A scientist is about to collect data to compute a 95% confidence interval, but he

A scientist is about to collect data to compute a 95% confidence interval, but he is unsure of what a 95% confidence interval really means. Help him out by filling in the blanks. Before a sample is chosen, there is a 95% that the sample will produce an interval containing the true mean value. After a sample has been chosen, there is 95% that the interval produced by the sample will contain the true mean value.

a. probability/probability

b. confidence/confidence

c. confidence/probability

d. probability/chance

e. probability/confidence
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ayandjay01
ayandjay01
4,5(62 marks)

c. confidence/probability

Step-by-step explanation:

The margin of error of a confidence interval is:

M = T*s.

In which T is related to the confidence level and s is the standard deviation of the sample.

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Before the sample is chosen

We choose our confidence level, which will determine the value of T. So the first answer is confidence.

After the sample is chosen

We are 95% sure that the true mean is in the sample. So the second answer is probability.

So the correct answer is:

c. confidence/probability

blackbetty79
blackbetty79
4,8(66 marks)

It is not a direct variation becuase though it goes through the orgin, its curved rather than straight.

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