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Please simplify on how you find the sum of y top hat

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Please simplify on how you find the sum of y top hat.

 
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llergic reactions to poison ivy can be miserable

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Question

llergic reactions to poison ivy can be miserable. Plant oils cause the reaction.

Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table.

ReactionWithin 5 Minutes After 5 Minute Row Total none

none 408 47 455

mild 62 333 395

Strong 30 120 150

Column Total 500 500 1,000

Let’s use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)

(a)P(N)P(M)P(S)

(b)P(N | W)P(S | W)

(c)P(N | A)P(S | A)

(d)P(N and W)P(M and W)

(e) P(N or M). 

Are the events N = no reaction and M = mild reaction mutually exclusive? Explain.

No. P(N and M) ≠ 0.

No. P(N or M) ≠ 0.

Yes. P(N or M) = 0.

Yes. P(N and M) = 0.

(f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain.

Yes. P(N and W) ≠ P(N) · P(W).

Yes. P(N and W) = P(N) · P(W).

No. P(N and W) ≠ P(N) · P(W).

No. P(N and W) = P(N) · P(W).

llergic reactions to poison ivy can be miserable. Plant oils cause the reaction.

Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table.

ReactionWithin 5 Minutes After 5 Minute Row Total none

none 408 47 455

mild 62 333 395

Strong 30 120 150

Column Total 500 500 1,000

Let’s use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)

(a)P(N)P(M)P(S)

(b)P(N | W)P(S | W)

(c)P(N | A)P(S | A)

(d)P(N and W)P(M and W)

(e) P(N or M). 

Are the events N = no reaction and M = mild reaction mutually exclusive? Explain.

No. P(N and M) ≠ 0.

No. P(N or M) ≠ 0.

Yes. P(N or M) = 0.

Yes. P(N and M) = 0.

(f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain.

Yes. P(N and W) ≠ P(N) · P(W).

Yes. P(N and W) = P(N) · P(W).

No. P(N and W) ≠ P(N) · P(W).

No. P(N and W) = P(N) · P(W).

 
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How do you do a histogramwith data

Question

How do you do a histogramwith data from a large set of numbers like stocks in excelfor my statistics

project please. I don’t know how to make one at all except by hand and I can’t find why examples of my project here that include

tje histogram.

 
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confidence interval

Question

6. If all other factors are held constant, increasing the sample size will do the following. increase the

width of the confidence interval

decrease the width of the confidence interval

None of the other choices are correct.

increase the standard error

7. 

In general, a large value for a t statistic (far from zero) is an indication that the sample data are not consistent with the null hypothesis.

True or false

9. 

The t distribution is symmetrical and has a mean of zero.

True

False

(b) The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

The probability in part (b) is much higher because the standard deviation is larger for the x distribution.

The probability in part (b) is much higher because the mean is smaller for the x distribution.

The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

The probability in part (b) is much higher because the mean is larger for the x distribution.

10.

Rejecting the null hypothesis means that the sample outcome is very unlikely to have occurred if H0 is true.

True

False

 
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