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denis-greek [22]
2 years ago
14

On a standardized exam, the scores are normally distributed with a mean of 350 and

Mathematics
1 answer:
kondaur [170]2 years ago
3 0

Answer:

\boxed {\boxed {\sf z= -0.1}}

Step-by-step explanation:

A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:

z= \frac{x- \mu}{\sigma}

where x is the value, μ is the mean, and σ is the standard deviation.

For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.

  • x= 346
  • μ= 350
  • σ= 40

Substitute the values into the formula.

z= \frac{ 346-350}{40}

Solve the numerator.

z- \frac{ -4}{40}

Divide.

z= -0.1

The z score is <u>-0.1</u>, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.

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​a) If the null hypothesis is​ true, you'll get a high​ P-value. ​b) If the null hypothesis is​ true, a​ P-value of 0.01 will oc
maxonik [38]

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>

<u />

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).

<u></u>

7 0
3 years ago
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