Respuesta :
Solution:
The Statement made by company about it's tablet computer,
Average recharge time = 3 Hours
As, to check whether the company claim is illegal or true
A random sample of 50 company tablet computers, and their recharging time is noted.
As, we have taken random sample , so standard deviation will come into consideration whether company claim is true or false.
Mean recharge time of 50 company tablet computers= 2.5 hours
Standard deviation of 50 company tablet computers= 0.3 hours
So, Mean standard deviation =
[tex]2.5 \pm0.3\\\\ 2.5 -0.3 \leq {\text{Mean standard deviation}}\leq 2.5+0.3\\\\ 2.2\leq {\text{Mean standard deviation}}\leq 2.8[/tex]
So, Claim made by company , that its tablet computers have an average recharge time of 3 hours is Approximately true.
As , there is fluctuation of (3 hours - 2.2 hours =3-2.12=48 minutes ) and (3 hours -2.8 hours=3-2.48=12 minutes), which is not so much ,so we can believe on this company and buy the product (that is tablet computers) of this company.
The null and alternative hypothesis for the given situation about the companies claim are respectively; μ = 3 and μ < 3
What is the null and alternate hypothesis?
In hypothesis, there is either null hypothesis or alternate hypothesis. Null hypothesis means no change or what you get or what you expect, from a historical point of view.
Meanwhile the alternate hypothesis is simply the alternative to the null hypothesis and it's simply what we are testing in the hypothesis test.
In this question, we see that the null average is given as 3 hours. Meanwhile the alternate average is 2.5 hours ad the company wants to verify whether the average is actually less than the claim of 3 hours. Thus;
Null Hypothesis is; μ = 3
Alternate Hypothesis is ; μ < 3
Read more about Alternative Hypothesis at; https://brainly.com/question/15980493
