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Sergeu [11.5K]
2 years ago
5

Let μ denote the true average radioactivity level(picocuries per liter). The value 5 pCi/L is considered thedividing line betwee

n safe and unsafe water. Would you recommend testing H0: μ = 5 vs Ha: μ > 5 or H0: μ =5 vs Ha: μ < 5?
Mathematics
1 answer:
VMariaS [17]2 years ago
7 0

Answer:

H0: μ = 5 versus Ha: μ < 5.

Step-by-step explanation:

Given:

μ = true average radioactivity level(picocuries per liter)

5 pCi/L = dividing line between safe and unsafe water

The recommended test here is to test the null hypothesis, H0: μ = 5 against the alternative hypothesis Ha: μ < 5.

A type I error, is an error where the null hypothesis, H0 is rejected when it is true.

We know type I error can be controlled, so safer option which is to test H0: μ = 5 vs Ha: μ < 5 is recommended.

Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled.

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7 0
2 years ago
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Eight times a number increased by 9 exceeds 7 times the number by 15. Find the number.
Alborosie
Turn it into math terms bit by bit. let x be "a number"

8 times a number is 8×x

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7 times a number is 7×x

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now we put it together.

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3 years ago
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Step-by-step explanation:

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The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price
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f(x)=0.69(1.03)^x

2) Interpretation:

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table:

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0              0.69

1             0.69 * 1.03 = 0.7107 => increase = 3%

2             0.69 * (1.03)^2 = 0.732021 => increase = 3%

So, the answer is that the function is increasing at 3% per year.

Part B.

3) table

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f(t) (price in dollars)     10,100    10,201     10,303.01   10,406.04

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Year 3: 10,303.01 / 10,201 = 1.01 => 1% increase

Year 4: 10,406.04 / 10,303.01 = 1.01 => 1% increase.

Answer: the </span><span>product of the part A recorded a greater percentage change in price over the previous year (3% vs 1%).</span>
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