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As an avid golfer, you want to estimate your average score for 18 holes of golf. Suppose you know that the standard deviation of your score is 16.425 strokes and you want to find a sample mean that is within 5.947 strokes of your true average for all rounds of golf with 90% confidence. How many rounds would you need to play to determine this

Sagot :

Answer:

21

Step-by-step explanation:

Given that

The holes of golf is 18

The standard deviation of the score is 16.425 strokes

The sample mean is 5.947

And, there is 90% confidence

We need to find out the number of rounds

So,

At 90% confidence interval, the critical value is +/- 1.645

Margin of error = 5.947

Z_0.05 × SD/sqrt (n) = 5.947

1.645 × 16.425/sqrt (n) = 5.947

sqrt(n) = 1.645 × 16.425 ÷ 5.947

sqrt(n) = 4.54

= 21

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