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3 years ago

Question 1 a

Mathematics

1 answer:

Marizza181 [45]3 years ago

4 0

Answer:

B) A one-sample t-test for population mean would be used.

Step-by-step explanation:

The complete question is shown in the image below.

The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.

The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.

Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.

If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.

Therefore, we can conclude that A one-sample t-test for population mean would be used.

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Step-by-step explanation:

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Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).

guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
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1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

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... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

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Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

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2. The derivative above tells us the slope at point (x, y) on the parabola is ...

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... -1/(dy/dx) = -y/2

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... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

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... 8y -64 = -y³ +8y

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Step-by-step explanation:

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