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morpeh [17]
3 years ago
7

A travel company is investigating whether the average cost of a hotel stay in a certain city has increased over the past year. T

he company recorded the cost of a one-night stay for a Friday night in January of the current year and in the previous year for 31 hotels selected at random. The difference in cost (current year minus previous year) was calculated for each hotel.
Which of the following is the appropriate test for the company’s investigation?

a) A one-sample z-test for a population mean
b) A one-sample t-test for a sample mean
c) A one-sample z-test for a population proportion
d) A matched-pairs t-test for a mean difference
e) A two-sample t-test for a difference between means
Mathematics
1 answer:
Ivan3 years ago
7 0

Answer:

d) A matched-pairs t-test for a mean difference

Step-by-step explanation:

The appropriate test for the company's investigation is a matched-pairs t-test for a mean difference.

A matched-pairs t-test is a test that is used to test if compared datasets have significant mean difference.

In this case, the travel company wants to compare the cost for the month of January of the present year, and the cost for the month of January of the previous year for different hotels selected at random.

The travel company also takes the difference in cost of all samples.

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Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by
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Step-by-step explanation:

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Patricia is riding a bus to her grandmother's, 66 miles away. On a map with a scale of 2 inches equals 12 miles, what is the dis
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What is the equivalent exsprssion of √54
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3\sqrt{6}

Step-by-step explanation:

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\sqrt{54}

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3 0
3 years ago
Find the equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation 3/2x-2y=-
kondaur [170]

The equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation \frac{3}{2}x - 2y = \frac{-17}{2} is:

y = \frac{3}{4}x - \frac{15}{4}

<h3><u>Solution:</u></h3>

Given that line that passes through the point (1, -3) and that is parallel to the line with the equation \frac{3}{2}x - 2y = \frac{-17}{2}

We have to find equation of line

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Let us first find slope of line containing equation \frac{3}{2}x - 2y = \frac{-17}{2}

\frac{3}{2}x - 2y = \frac{-17}{2}

Rearrange the above equation into slope intercept form

\frac{3x}{2} + \frac{17}{2} = 2y\\\\y = \frac{3x}{4} + \frac{17}{4}

On comparing the above equation with slope intercept form y = mx + c,

m = \frac{3}{4}

So the slope of line containing equation \frac{3}{2}x - 2y = \frac{-17}{2} is m = \frac{3}{4}

We know that slopes of parallel lines are equal

So the slope of line parallel to line having above equation is also m = \frac{3}{4}

<em><u>Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)</u></em>

Substitute m = \frac{3}{4} and (x, y) = (1 , -3) in slope intercept form

y = mx + c

-3 = \frac{3}{4}(1) + c\\\\c = -3 - \frac{3}{4}\\\\c = \frac{-15}{4}

<em><u>Thus the required equation of line is:</u></em>

substitute m = \frac{3}{4} and c = \frac{-15}{4} in slope intercept form

y = \frac{3}{4}x + \frac{-15}{4}\\\\y =\frac{3}{4}x - \frac{15}{4}

Thus the equation of line is found out

3 0
3 years ago
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