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Travka [436]
2 years ago
15

The p-value for a two-sided test of the null hypothesis H0: μ = 10 is 0.06. Would a 95% confidence interval for μ include the va

lue 10? - No. A p-value of 0.06 indicates that the results observed are statisically significant at the 5% level, so the 95% confidence interval will not include 10. - No. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will not include 10. - Yes. A p-value of 0.06 indicates that the results observed are statistically significant at the 5% level, so the 95% confidence interval will include 10. - Yes. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will include 10.
Mathematics
1 answer:
sesenic [268]2 years ago
8 0

Answer:

- Yes. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will include 10.

Step-by-step explanation:

A p-value of 0.06 at 0.05 significance means we fail to reject the null hypothesis that H0: μ = 10 since p-value>p-critical.

This also means that the result is not statistically significant at 0.05 significance level.

Thus, 95% confidence interval for μ includes 10.

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Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 7

We are given that the distribution of random variable X is a bell shaped distribution that is a normal distribution.

Formula:

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P(X greater than 34)

P( X > 34) = P( z > \displaystyle\frac{34 - 50}{7}) = P(z > -2.2857)

= 1 - P(z \leq -2.2857)

Calculation the value from standard normal z table, we have,  

P(X>34) = 1 - 0.0111= 0.9889= 98.89\%

The attached image shows the normal curve.

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