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myrzilka [38]
3 years ago
5

Alice has eight good behavior stars and earns a new one each week Mack has two good behavior stars and earns two new ones each w

eek in how many weeks will they have the same number of good behavior stars
Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:

6 weeks

Step-by-step explanation:

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A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin
drek231 [11]

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

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The alternate hypotesis is:

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The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that n = 50, X = 26

Assume the population standard deviation is 6.2 weeks.

This means that \sigma = 6.2

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when \mu = 28. It if is lower than 0.05, it provides evidence.

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}

z = -2.28

z = -2.28 has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

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