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g100num [7]
3 years ago
8

The base of a triangle is four times its height.If the area of the triangle is 242 square millimeters,find its height

Mathematics
1 answer:
makkiz [27]3 years ago
6 0
Http://www.clayton.k12.mo.us/cms/lib/MO01000419/Centricity/Domain/892/area%20of%20parallelograms%20a...
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A study was conducted to investigate the effectiveness of hypnotism in reducing pain. An SRS of 8 subjects was randomly selected
chubhunter [2.5K]

Answer:

e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

Step-by-step explanation:

Hello!

The study's objective is to test if hypnotism reduces pain.

A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.

The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:

Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.

The sample average and standard deviation obtained were:

Xd= -3

Sd= 3

And the variable is presumed to be approximately normal.

An approximately normal distribution is enough to conduct a paired sample t-test.

If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0

The test will be one-tailed and so will be the p-value.

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.

H₀: μd ≥ 0

H₁: μd < 0

t_{H_0}= \frac{X_d-Mu_{d}}{\frac{S_d}{n} }= \frac{-0-0}{\frac{3}{\sqrt{8} } } = -2.828= -2.83

The DF of the t-test are n-1= 7

Then you can calculate the p-value as:

P(t₇≤-2.83)= 0.0127

The level of the test is α: 0.01

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value > α the decision is to not reject the null hypothesis.

Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

I hope this helps!

5 0
3 years ago
Justin is paid $7.00 an hour and also earns a 20% commission on any sales he makes. In one week, if he worked 40 hours and had $
nignag [31]

Answer:

380

Step-by-step explanation:

7 x 40 = 280 + C = 380

C = Commision

500 x .2 = 100

C = 100

6 0
3 years ago
What do you think is the best way to measure the distance from point to line
Nonamiya [84]
You would probably have to measure it greatest distance by ur least distance and subtract or add
4 0
3 years ago
Read 2 more answers
PLEASEEEE HELPPP MEEEE! NOWWWWW
umka2103 [35]

Answer:

The answer is -3

Step-by-step explanation:

First of all we find the difference -4-2 = -(4+2) and than we add the numbers answer is -6 .

-    \frac{6}{4 \div 2}

4÷2=

-   \frac{6}{2}

And than we simplify this fraction to 2 and find the answer -3. <em>I</em><em> </em><em>w</em><em>o</em><em>u</em><em>l</em><em>d</em><em> </em><em>b</em><em>e</em><em> </em><em>g</em><em>l</em><em>a</em><em>d</em><em> </em><em>i</em><em>f</em><em> </em><em>y</em><em>o</em><em>u</em><em> </em><em>c</em><em>h</em><em>o</em><em>o</em><em>s</em><em>e</em><em> </em><em>m</em><em>y</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>b</em><em>e</em><em>s</em><em>t</em><em>.</em><em> </em><em>G</em><em>o</em><em>o</em><em>d</em><em> </em><em>l</em><em>e</em><em>s</em><em>s</em><em>o</em><em>n</em><em>s</em><em> </em><em>♡</em>

7 0
2 years ago
1/17b = 90????<br> Please start it as multiplying both sides with the denominator
Ilya [14]

Answer:

b = 1530

Step-by-step explanation:

1/17 b = 90

(17)1/17b = 90 × 17

b = 1530

3 0
3 years ago
Read 2 more answers
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