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Fofino [41]
2 years ago
14

In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students

Mathematics
1 answer:
denpristay [2]2 years ago
5 0

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it i tested if the mean difference remains the same, that is:

H_0: \mu  = 0

At the alternative hypotheses, it is tested if it has decreased, hence:

H_a: \mu < 0.

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

The parameters are given as follows:

\overline{x} = -1.75, s = 7.12, n = 35.

Hence the test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

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Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
Goryan [66]

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X <u><</u> 10

11/2 X <u><</u> 8

11X <u><</u> 16

X <u><</u> 1 6/11

So he can make only one batch of cookies.

3 0
3 years ago
Candita uses 1 of an ounce of green paint each time she draws a green line on her painting. She draws a total of 7 green
omeli [17]

(1 + 1 + 1 + 1 + 1 + 1 + 1 ) and (\frac{1}{2} + \frac{1}{2}  + \frac{1}{2}  +\frac{2}{2}) represents the amount of green paint that Candita used drawing green lines on the painting.

6 0
3 years ago
Write the linear equation (y = mx +b) for the following graph:
Wewaii [24]

Answer:

y=2/1x +5

Step-by-step explanation:

m represents the slope of the line on the graph, m would be 2/1.

b represents the point on the y axis the line interects at, b would be 5.

7 0
2 years ago
Read 2 more answers
‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ​
Delvig [45]

Answer:

3 pints

Step-by-step explanation:

1 1/2 as a decimal is 1.5

1 quart = 2 pints

1.5 x 2 = 3 pints,

hope i helped you!

6 0
3 years ago
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The slope is -2/1.
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Down 2/ Left 1. Because it’s going down, put a negative.
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2 years ago
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