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Fudgin [204]
2 years ago
14

A two year community college has decided to implement a new approach to teaching probability. Full-time and adjunct faculty were

surveyed to determine whether they preferred the traditional lecture approach or a computer approach to teaching probability. The results are listed below. Use hypothesis testing to test the independence of opinion between the two groups.
Prefer Lecture Prefer Computer No Preference
Full-time 8 13 6
Adjunct 11 22 10

Required:
a. Calculate the expected value of an adjunct professor who prefers to lecture.
b. What is the expected value of an adjunct professor who prefers computer instruction
Mathematics
1 answer:
Gemiola [76]2 years ago
3 0

Answer:

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Step-by-step explanation:

ljh kjnjknojn[ojnk  pj

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The squares of the first five whole numbers​
antiseptic1488 [7]

Answer:

Square each number: 1 , 2 , 3 , 4 , 5:

1² = 1 * 1 = 1

2² = 2 * 2 = 4

3² = 3 * 3 = 9

4² = 4 * 4 = 16

5² = 5 * 5 = 25

~

4 0
3 years ago
in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
The angle 01 is located in Quadrant III, and cos(01) = -30/13
larisa [96]

Answer:

<h2>sin(01) = -32.70/13</h2>

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

To calculate sin(01), we will apply the trigonometry expression as shown below;

cos(01) = -30/13

According to SOH CAH TOA;

cos(01) = adjacent/hypotenuse = -30/13

sin(01) = opposite/ hypotenuse

To get the hypotenuse, we will use the pythagoras theorem

hyp^{2}=opp^{2}+adj^{2}   \\opp^{2}=  hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\

sin(01) = 32.70/13

Since sin is also negaitve in the third quadrant, the value of

sin(01) = -32.70/13

01 = cos^{-1}- 30/13

8 0
3 years ago
Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodi
Gemiola [76]

Answer is on the attachment. Brainlist pls.

Step-by-step explanation:

5 0
3 years ago
A company’s stock was selling at $25 a share. A month later , it was selling at $30 a share . What is the percent increase?
nirvana33 [79]

Answer: 20% increase

Step-by-step explanation:

30-25=5 solve for x  (5*100)/25 = 20

4 0
2 years ago
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