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Juli2301 [7.4K]
3 years ago
11

A food truck operator has traditionally sold 75 bowls of noodle soup each day. He moves to a new location and after a week sees

that he has averaged 85 bowls of noodle soup sales each day. He runs a one-sided hypothesis test to determine if his daily sales at the new location have increased. The p-value of the test is 0.031. How should he interpret the p-value?
a. There is a 3.1% chance that the true mean of soup sales at the new location is 85 bowls a day.
b. There is a 96.9% chance that the true mean of soup sales at the new location is greater than 75 bowls a day.
c. There is a 96.9% chance that the sample mean of soup sales at the new location is 85 bowls a day.
d. There is a 3.1% chance of obtaining a sample with a mean of 85 or higher assuming that the true mean sales at the new location is still equal to or less than 75 bowls a day.
e. There is a 96.9% chance that the true mean of soup sales at the new location is within 3.1 bowls of 85 bowls a day.
Mathematics
1 answer:
pashok25 [27]3 years ago
7 0

Answer:

The p-value of the test is 0.031. How should he interpret the p-value as "There is a 96.9% chance that the true mean of soup sales at the new location is greater than 75 bowls a day"

Step-by-step explanation:

P-value"In statistical hypothesis testing, the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct"

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The line width of a tool used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micromete
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Answer:

a. 0.82%

b. 71.11%

c. 0.564 micrometer

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

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a.

So for 0.62 copies we have:

z = (0.62 - 0.5) / (0.05)

z = 2.4

and this value represents 0.9918

p (x > 0.62) = 1 - 0.9918

p (x > 0.62) =  0.0082 = 0.82%

b.

So for 0.47 copies we have:

z = (0.47 - 0.5) / (0.05)

z = -0.6

and this value represents 0.2742

So for 0.63 copies we have:

z = (0.63 - 0.5) / (0.05)

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c.

So for x copies we have:

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x = 0.564 micrometer

4 0
3 years ago
If c o v (x comma space y )space equals space 1260, s subscript x squared equals 1600, and s subscript y squared equals 1225 , t
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Complete Question

The complete question is shown on the first uploaded image

Answer:

The coefficient  is  r  =0.81

Step-by-step explanation:

From the question we are told that

      cov(x, y )= 1260

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Generally the coefficient of determination is mathematically represented as

      r  = [ \frac{cov(x,y)}{ \sqrt{s_x^2} *  \sqrt{s_y^2} }   ]^2

substituting values

      r  = [ \frac{ 1260}{ \sqrt{1600} *  \sqrt{1225} }   ]^2

     r  =0.81

7 0
3 years ago
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