Question

Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use hours of labor time for the planting of a medium-sized tree. Actual times from a sample of plantings during the past month follow (times in hours).1.7 1.5 2.6 2.2 2.4 2.3 2.6 3.0 1.4 2.3With a 0.05 level of significance, test to see whether the mean tree planting time differ from two hours.State the null and alternative hypothesis.

Answer 1

The null and alternative hypothesis is
`H_0:\mu=2` and
`H_a:\mu\\eq 2` respectively.

Explanation:

Consider the provided information.

If there is no statistical significance in the test then it is know as the null which is denoted by
`H_0`, otherwise it is known as alternative hypothesis which denoted by
`H_a`.

Consider the statement:

Test to see whether the mean tree planting time differ from two hours.

The null hypothesis is:
`H_0:\mu=2`

Therefore, the alternative hypothesis is:
`H_a:\mu\\eq 2`

Thus, the null and alternative hypothesis is
`H_0:\mu=2` and
`H_a:\mu\\eq 2` respectively.