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miskamm [114]
3 years ago
5

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

the population parameters). Suppose 36 pro golfers played the course today. Find the probability that the average score of the 36 golfers was between 70 and 71. (Hint: think of this in terms of a sampling distribution with sample size 36) Group of answer choices
Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer:

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(score of the 36 golfers was between 70 and 71)

\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}

P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%

P(70 \leq x \leq 71) = 47.7\%

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

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snow_lady [41]
I tried my best for this I’m pretty for sure I remember doing this in school but I’m not for sure I hope this helped a little bit

6 0
3 years ago
A scientist has two solutions, which she has labeled Solutuion A and Solution B. Each contains salt. She knows that Solutuion A
ratelena [41]

a = amount (in oz) of solution A

b = amount of solution B

The scientist wants a mixture of 110 oz, so

a + b = 110

Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So

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3 years ago
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snow_tiger [21]

Answer:

I believe I am correct.

1: slope

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3: y-intercept

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ankoles [38]

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Step-by-step explanation:

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Vinvika [58]

Answer:

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2 years ago
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