The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm. Which are the hypotheses to test whether the mean is smaller than it is supposed to be?

Alternative hypothesis [tex](H_a)[/tex]: It is also a statement about the population parameter but against the null hypothesis that contains = , < or > signs.

Given : The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm.

here , Population parameter = [tex]\mu[/tex] [ Population mean ]

i.e. [tex]\mu<56[/tex]

Objective : Whether the mean is smaller than it is supposed to be.

Then, the set of hypothesis will be :

[tex]H_0:\mu\geq56\\\\ H_a:\mu<56[/tex]

abidemiokin abidemiokin · Answer 2 · 2022-03-24T12:31:22+01:00

The hypotheses to test whether the mean is smaller than it is supposed to be are:

H: μ ≥ 56

Ha: μ < 56

Hypotenuse testing

The two types of hypotheses that we have are:

Null hypothesis: It is a statement about the population parameter that contains =, ≤ or ≥ signs.

The other type of hypothesis is;

Alternate hypothesis: This is a statement about the population parameter but against the null hypothesis that contains =, < or > signs.

From the question, we are given that the process that produces Sonora Bars are intended to produce bars with a mean weight of 56 gm.

It is therefore either the process is able to process bars this (alternate) or not(null)

The hypotheses to test whether the mean is smaller than it is supposed to be are:

H: μ ≥ 56

Ha: μ < 56

Learn more on hypothesis testing here: https://brainly.com/question/15980493