Which of the following results in the null hypothesis μ=38 and alternative hypothesis μ<38? Select the correct answer below: A fitness center claims that the mean amount of time that a person spends at the gym per visit is at most 38 minutes. A fitness center claims that the mean amount of time that a person spends at the gym per visit is fewer than 38 minutes. A fitness center claims that the mean amount of time that a person spends at the gym per visit is 38 minutes. A fitness center claims that the mean amount of time that a person spends at the gym per visit is more than 38 minutes.

B) A fitness center claims that the mean amount of time that a person spends at the gym per visit is fewer than 38 minutes

Step-by-step explanation:

If a statement contains the words: Equal to, At most, At least, then this statement will be the Null Hypothesis. Corresponding Alternate Hypothesis can be made based on the given Null Hypothesis.

If a statement contains the words: Greater than, Less Than, then this statement will be the Alternate Hypothesis.

The given null and alternate hypothesis are:

Null Hypothesis: μ=38

Alternate Hypothesis: μ<38

This alternate hypothesis translates to: Mean less than 38.

So, we look for the options which contain a "less than 38" situation. Option contains this statement. So, the correct answer will be:

A fitness center claims that the mean amount of time that a person spends at the gym per visit is fewer than 38 minutes

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w