Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.

Let $\mu$ be the population mean .

We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.

i.e. Null hypothesis : $H_0:\mu=140$

Alternative hypothesis for two tail hypothesis has sign (≠).

i.e. Alternative hypothesis : $H_1 : \mu\neq140$

∴ The hypotheses for a two-tailed test of the claimed potassium content:

H0: μ = 140 mg vs. H1: μ ≠ 140 mg

3 0

3 years ago

Amanda cut a piece of wood that was 10/12 of a yard long. She used 3/4 of the wood how many yards of wood were left over

Nadya [2.5K]

The wood is 10/12 yard long.

She used 3/4 of the wood:
$\dfrac{3}{4} \times \dfrac{10}{12}$

$\dfrac{3}{4} \times \dfrac{2 \times 5}{3 \times 4}$

$\dfrac{3}{8} \text { yard}$

Calculate yards left:

$\dfrac{10}{12} - \dfrac{3}{8}$

$= \dfrac{20}{24} - \dfrac{9}{24}$

$= \dfrac{11}{24} \text { yard left}$

6 0

3 years ago