Question

a data set includes weights (in grams) of 40 reeses peanut butter cup miniatures. the accompanying statdisk display shows results from using all 40 weights to test the claim that the sample is from a population with a mean equal to 8.953 g. test the given claim by using the display provided from statdisk. use a 0.01 significance level.
click the icon to view the statdisk display.
identify the null and alternative hypotheses.
h₀:
h₁:
(type integers or decimals. do not round.)

Explanation:

In hypothesis testing, the null hypothesis \(H_0\) is a statement of no - effect or equality. The alternative hypothesis \(H_1\) is a statement that contradicts the null hypothesis. Here, the claim is that the sample is from a population with a mean equal to \(8.953\) g. So, the null hypothesis \(H_0\) is \(\mu = 8.953\) (where \(\mu\) is the population mean). The alternative hypothesis \(H_1\) is \(\mu
eq8.953\) (a two - tailed test since we are just testing against the claim of equality, not a specific direction like greater than or less than).

Answer:

\(H_0:\mu = 8.953\)
\(H_1:\mu
eq8.953\)