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3 years ago

10

By comparing medians which person went to the movies the most per month

1 answer:

Nimfa-mama [501]3 years ago

3 0

I think they all went to the movies equally per month if you simply compare medians? Since in the second chart, they each have a median of 2 times per month, that makes it equal. If you aren’t sure if this is correct, you have to order how many times each person went to the movies, from least to greatest. For example, John’s would be 1,1,1,2,2,2,2,3,3,3,4,5. Then you would start crossing numbers off from each end. First you would cross off 1, then 5, and then 1, and then 4, and keep going until you reach the number in the very middle, which is 2. Do this with all of the other people, and check if everybody has 2 for a median. I believe they do, however it’s always best to check and be safe. Good luck

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If your car gets 28 miles per gallon, how much does it cost to drive 390 miles when gasoline costs $2.90 per gallon?

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Answer: x = $25.89

Step-by-step explanation:

This is a two step problem. First we need to determine the number of gallons the car uses to drive the 250 miles:

250/28 ≈ 8.93 gallons

Then we just multiply the number of gallons by the price:

8.93 x 2.90 = $25.90

Alternate solution: Use a proportion. Since 1 gallon costs $2.90 and produces 28 miles, we can set up the following proportion:

2.90/28 = x/250

Cross-multiply and solve:

28x = 725

x = $25.89 (There is a one cent difference due to a rounding error in the first solution. This solution avoids that error.)

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3 years ago

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1 year ago

A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon

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Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

$H_o : p = 0.05$

Versus

$H_1 : p \ne 0.05$

Use α = 0.05. Find the P-value for the test

Answer:

The p-value is $p-value = 0.5949$

Step-by-step explanation:

From the question we are told that

The sample size is n = 300

The number of defective circuits is k = 13

Generally the sample proportion of defective circuits is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{13}{300}$

=> $\^ p = 0.0433$

Generally the standard Error is mathematically represented as

$SE = \sqrt{\frac{p(1- p)}{n} }$

=> $SE = \sqrt{\frac{0.05(1- 0.05)}{300} }$

=> $SE = 0.0126$

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{SE}$

=> $z = \frac{0.0433 - 0.05 }{0.0126}$

=> $z = -0.5317$

From the z table the area under the normal curve to the left corresponding to -0.5317 is

$(P < -0.5317 ) = 0.29747$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z < -0.5317 )$

=> $p-value = 2 * 0.29747$

=> $p-value = 0.5949$

3 0

3 years ago