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Paha777 [63]
4 years ago
5

Assume that a set of test scores is normally distributed with a mean of 70 and a standard deviation of 10. In what percentile is

a score of 65?
1. 95th
2. 79th
3. 46th
4. 30th
Mathematics
1 answer:
vlabodo [156]4 years ago
3 0
Given:
μ = 70, the mean
σ = 10, the standard deviation

The random variable is x = 65.
Calculate the z-score.
z = (x - μ)/σ = (65 -70)/10 = - 0.5

From standard ables, obtain
P(x<5) = 0.3085 ≈ 30%
The score of 65 is in the 30th percentile.

Answer: 30th
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Answer:

​a) If the null hypothesis is​ true, you'll get a high​ P-value. ​(it depends)

b) If the null hypothesis is​ true, a​ P-value of 0.01 will occur about​ 1% of the time. (false)

​c) A​ P-value of 0.90 means that the null hypothesis has a good chance of being true. ​(not only has a good chance it has strong evidence)

d) A​ P-value of 0.90 is strong evidence that the null hypothesis is true.(true)

Step-by-step explanation:

Before i answer this question, you need to understand that p-values give you the clues to identify when you can <u>accept the null hypothesis ( null hypothesis is true)</u> and when you can r<u>eject the null hypothesis (null hypothesis is not true).</u>

<u />

1. When you get a small p-value  (typically ≤ 0.05) values that are less or equal to 0.05, for example 0.01,  you reject the null hypothesis (null hypothesis is not true)

2. when you get a large p-value (> 0.05) values that are greater than 0.05, for example 0.94, 0.90. you can accept the null hypothesis because  indicates weak evidence against the null hypothesis (null hypothesis is true).

<u> This is the explanation:</u>

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a) if the null hypothesis is true  you`ll get a high p-value<u> only if the p-value is ≥ 0.05</u>

b) if p value is less or equal to 0.05. Null hypothesis is not true.

c) A​ P-value of 0.90 means that the null hypothesis has a good chance of being true . It not only has a good chance it is strong evidence that null hypothesis is true.

d) A p-value of 0.90 is strong evidence that null hypothesis is true. p-values that are greater than 0.05  you can accept the null hypothesis (null hypothesis is true).

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3 years ago
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  3. Measure out 1 cup of sauce with the "1 cup" measuring cup.
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And there you go you have 3/4 of 2 cups of sauce.

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1 pound cost then 6/13 = 0.461538462... ≈ $0.46

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2 years ago
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