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arsen [322]
3 years ago
10

A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reporte

d height and actual height was calculated. You're testing the claim that the mean difference is greater than 0.7. From the sample, the mean difference was 0.95, with a standard deviation of 0.44. Calculate the test statistic, rounded to two decimal places
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if it is 0.7 or less, that is:

H_0: \mu \leq 0.7

At the alternate hypothesis, we test if it is greater than 0.7, that is:

H_1: \mu > 0.7

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7

Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that n = 35, X = 0.95, s = 0.44

Calculate the test statistic

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}

t = 3.36

The test statistic is t = 3.36.

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Step-by-step explanation:

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2 years ago
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KIM [24]

A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).

<h3>What is directly proportional?</h3>

It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.

It is given that there is a proportional relationship between cost and pints of blueberries as,

Blueberries (in pints)          2      5

Cost (in dollars)                6.80   17

17/6.80 = 5/2

As we draw the graph and analyze each option one by one we get the graph shown by the statement C following the given proportional relationship.

Thus, a coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).

Learn more about the directly proportional here:

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4 0
1 year ago
Rs = 8y + 4 , ST = 4y + 8 , and RT = 36 , find the value of y
Natasha_Volkova [10]
I assume that you meant RS and ST are segments of RT.  If that is true then:

RS+ST=RT, using the values for these given...

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12y+12=36  subtract 12 from both sides

12y=24  divide both sides by 12

y=2
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3 years ago
-5/-2 divided by 6/7
Yuri [45]

Answer:2.91666666667

Step-by-step explanation:

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3 years ago
Betsy pours 16 cups of water to equally fill 2 bottles.how many cups of water are in each bottle?label the tape diagram to repre
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There would be 8 cups of water in each bottle because 16 divided by 2 is 8.
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3 years ago
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