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Montano1993 [528]
3 years ago
7

A local country club golf tournament organizer is attempting to estimate the average number of strokes for the 13th hole. On a p

articular day, 64 players completed the play on the 13th hole, with an average of 4.25 strokes and a population standard deviation of 1.6 strokes. Determine the 95 percent confidence interval for the average number of strokes.
Group of answer choices
A. [3.94, 4.56]
B. [3.86, 4.64]
C. [4.05, 4.45]
D. [3.92, 4.58]
Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

Answer:

B. [3.86, 4.64]

Step-by-step explanation:

To find the 95% confidence interval for the average number of strokes, we need to have these following informations:

Sample size

Average of the sample

Standard deviation of the sample

Is this problem, we have that

Sample size = 64

Average = 4.25

Standard deviation = 1.6

Now, we need to find the degree of freedom and the value of /alpha, so we can find the a value that is needed for this calculus in the t-distribution table

The degree of freedom is the sample size subtracted by 1. So:

v = 64 - 1 = 63

/alpha is the result of the subtraction of 1 by the confidence interval(decimal) divided by two. So

\alpha = \frac{1 - 0.95}{2} = 0.025

Looking at the t-distribution table, with v = 63, \alpha = 0.025, we find that the value is 1.998.

Now we need to multiply this value by the standard deviation of the sample and divide by the square root of the sample size. So:

A = \frac{1.998*1.6}{\sqrt{64}} = \frac{3.1968}{8} = 0.39

Now

For the lower range of the interval, we subtract A from the mean

L = 4.25 - 0.39 = 3.86

For the upper end of the interval, we add A to the mean

So

H = 4.25 + 0.39 = 4.64

So the correct answer is

B. [3.86, 4.64]

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Answer:

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Step-by-step explanation:

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6 0
3 years ago
In circle O, BC=14 and DC=25. What is the length of diameter BA? -58.6 -12.2 -44.6 -30.6
Savatey [412]
The picture in the attached figure

we know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
</span>so
DC²=BC*CA-----> CA=DC²/BC
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CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64

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hence
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</span>
the answer is
<span>the length of diameter BA is 30.6</span>


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Step-by-step explanation:

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