Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

records from a toy manufacturing company showed that the mean time that…

Question

records from a toy manufacturing company showed that the mean time that the top - selling toy captured childrens attention was 40 minutes. a competing company strongly suspects that the mean time will be less than 40 minutes for the new generation of children and wishes to carry out a hypothesis test. state the null hypothesis $h_0$ and the alternative hypothesis $h_1$ that we would use for this test.
$h_0:$
$h_1:$
(there are also some symbols like $\mu$, $\bar{x}$, $p$, $\hat{p}$, $\sigma$, $s$ and some inequality and equality symbols in a box on the right side of the text.)

Explanation:

Step1: Define null hypothesis

The null hypothesis assumes no change, so $\mu = 40$.

Step2: Define alternative hypothesis

The alternative claims a decrease, so $\mu < 40$.

Answer:

$H_0: \mu = 40$
$H_1: \mu < 40$