Question

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?

Answer 1

Answer:

$H_0:\mu\geq56\\\\ H_a:\mu$

Step-by-step explanation:

Null hypothesis $(H_0)$: It is a statement about the population parameter that contains = , ≤  or ≥ signs.

Alternative hypothesis $(H_a)$: 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 = $\mu$    [ Population mean ]

i.e. $\mu$

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

Then, the set of hypothesis will be :

$H_0:\mu\geq56\\\\ H_a:\mu$