Question

The average yearly rainfall in the sahara desert used to be 10 inches. a climatologist believes that amount has changed. which represent the null and alternative hypothesis?

Answer 1

Answer:
`H_0:\mu=10`

`H_a:\mu \\eq10`

Explanation:

• A null hypothesis is a hypothesis which a researcher mostly try to disprove, it says that there is no statistically significant relationship between the two variables.

• An alternative hypothesis says that there is a statistical significance between two variables.

Given: The average yearly rainfall in the Sahara desert used to be 10 inches.

`\text{i.e. }\mu=10\text{ inches}`

A climatologist believes that amount has changed.

Thus, the null hypothesis for the given situation will be :

`H_0:\mu=10`

The alternative hypothesis for the given situation will be :

`H_a:\mu \\eq10`

Answer 2

A null hypothesis states that the population parameter should be equal to the value that was hypothesized. So in this case the null hypothesis (H₀) would be equal (=) to 10.

H₀=10

This indicates that there was no change.

An alternative hypothesis, on the other hand, would indicate that there is a change. So the alternative hypothesis(Ha) should either be greater, smaller or in short, not equal to the hypothesized value.

Ha is not equal to 10

This would indicate there was a change.