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Bingel [31]
3 years ago
5

The mean response time of a species of pigs to a stimulus is 0.8 seconds. Twenty-eight pigs were given 2 oz of alcohol and then

tested. If their sample average response time was 1.0 seconds with a sample standard deviation of 0.3 seconds, can we conclude that alcohol affects the mean response time? Use the 5 percent significance level.
Mathematics
1 answer:
Burka [1]3 years ago
3 0
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the mean response time of a species of pigs to a stimulus.

As per given , we have

H_0 : \mu=0.8\\\\ H_a: \mu\neq0.8

Since , the alternative hypothesis is two-tailed and population standard deviation is unknown , so we perform two-tailed t-test.

Also, we have n= 28

Sample mean =\overline{x}=1.0

sample standard deviation= s= 0.3

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

t=\dfrac{1.0-0.8}{\dfrac{0.3}{\sqrt{28}}}=3.53

P-value : 2P(t>|3.53|)=2(1-P(t\leq3.53))  

=2(1-0.9992)= 0.0016      [using p-value table for t]

Decision : Since p-value < 0.05 ( significance level ), so we reject the null hypothesis .

Conclusion : We have enough evidence to accept that alcohol affects the mean response time.

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Vitek1552 [10]

Answer:

<h2>A) Height is the missing measurment.</h2><h2 /><h2> B)  1,400= 20 × 14 × H</h2><h2 /><h2>C) 1400 ÷ H = 280</h2>

Step-by-step explanation:

A) Length × Width × Height

B) V is 1,400

    L is 20

    W is 14

    H is unknown so use a variable

C) 20 × 14= 280.

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Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color.
pashok25 [27]

The probability of selecting two jelly-filled donuts in a row is 1/ 22

<h3>What is probability?</h3>

Probability is simply the chance that a given event will occur.

It is also the ratio of the number of outcomes in a set of equally likely outcomes that produce a given event to the total number of possible outcomes.

From the information given, we have that the donuts are:

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Note that two jelly - filled donuts were taken without replacement

Probability( 2 jelly -filled donuts) = 6 / 24 × 4/ 22 = 24/ 24 × 22 = 1/ 22

Thus, the probability of selecting two jelly-filled donuts in a row is 1/ 22

Learn more about probability here:

brainly.com/question/24756209

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