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Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern?
A) H: 25.3.
B) H: > 25.3.
C) H u <24.5.
D) Hu> 24.5. 27.

Sagot :

ajeigbeibraheem

Answer:

[tex]H_1 : \mu > 24.5[/tex]

Step-by-step explanation:

From the given information:

The sample size is 28

The population mean is 24.5 (ppb)

The sample mean is 225.3 (ppb)

Thus, the null and the alternative hypothesis can be computed as:

Null hypothesis:

[tex]H_o : \mu \le 24.5[/tex]

Alternative hypothesis:

[tex]H_1 : \mu > 24.5[/tex]

The alternative hypothesis addresses their concern which is Hₐ: μ > 24.5. Then the correct option is D.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Perchlorate is a chemical used in rocket fuel.

People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water.

Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less.

A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb.

The null hypotheses and alternative hypotheses can be given as

Null hypotheses

H₀: μ ≤ 24.5

Alternative hypotheses

Hₐ: μ > 24.5

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

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