Question

f a random sample of 16 homes south of Center Street in Provo has a mean selling price of $145,475 and a standard deviation of $4800, and a random sample of 15 homes north of Center Street has a mean selling price of $148,350 and a standard deviation of $5975, can you conclude that there is a significant difference between the selling price of homes in these two areas of Provo at the 0.05 level? Assume normality.

(a) Find *t*. (Give your answer correct to two decimal
places.)

(ii) Find the *p*-value. (Give your answer correct to four
decimal places.)

(b) State the appropriate conclusion.Reject the null hypothesis,
there is not significant evidence of a difference in means.Reject
the null hypothesis, there is significant evidence of a difference
in means. Fail to reject the null
hypothesis, there is significant evidence of a difference in
means.Fail to reject the null hypothesis, there is not significant
evidence of a difference in means.

Answer #1

Here our two hypotheses are

vs

Where are population mean price for South of Center street and North of center Street.

If a random sample of 27 homes south of Center Street in Provo
has a mean selling price of $145,150 and a standard deviation of
$4775, and a random sample of 29 homes north of Center Street has a
mean selling price of $148,300 and a standard deviation of $5775,
can you conclude that there is a significant difference between the
selling price of homes in these two areas of Provo at the 0.05
level? Assume normality.
(a) Find t....

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(a) Find t. (Round...

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A random sample of
n1 = 49
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n2 = 64
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deviation
σ2 = 6
had a sample mean of
x2 = 11.
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distribution does the sample test statistic follow? Explain.
The...

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n1 = 49
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deviation
σ1 = 3
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x1 = 13.
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n2 = 64
measurements from a second population with population standard
deviation
σ2 = 4
had a sample mean of
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2.1
1.9
4.2
1.2
0.5
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2.4
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1.7
1.8
1.4
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1.1
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