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neonofarm [45]
3 years ago
7

A weather forecaster reported that the total amount of rainfall for the month was 0.95 inch. He also reported that this amount w

as 0.35 inch below the average amount of rainfall for the same month during the last ten years. The forecaster summarized his findings in this table. What was the average amount of rainfall, in inches, for this month during the last ten years?
Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

Answer:

1.3 in

Step-by-step explanation:

x = average amt of rainfall in the last 10 years

0.95 = x - 0.35

0.95 + 0.35 = x

1.3 = x

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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 52
Ludmilka [50]

Answer:

the probability that a sample of the 35 exams will have a mean score of 518 or more is <em> 0.934 </em>or<em> 93.4%</em>.

Step-by-step explanation:

This is s z-test because we have been given a sample that is large   (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:

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Therefore, the probability is:

P(X ≥ 0.0657) = 1 - P(X < 0.0657)

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Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

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Therefore,  the probability that a sample of the 35 exams will have a mean score of 518 or more is <em>0.934 or 93.4%</em>.

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5 0
4 years ago
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