Question

An important feature of modern tablets is battery life. Here, we
wish to compare how tow popular tablets brands perform in this
area. You collect a sample of 16 *Ipad* tablets and 13
*Surface* tablets. The ipad sample had a mean of 600 minutes
of battery life, with a standard deviation of 6.88 minutes.
Meanwhile, the Surface sample had a mean of 625 minutes and a
standard deviation of 6.03 minutes. We wish to know if the Ipad
tablets have a higher **variance** in battery life
than the Surface tablets. Battery life has a normal distribution in
both populations, and you are asked to use α = 0.05.

Answer #1

i am denoting the ipad tablets by group 1 and surface tablets by group 2.

*given data
are:-*

**hypothesis**:-

[ claim ]

**the test
statistic be:-**

df_{1} = (n_{1}-1) = (16-1) = 15, df_{2}
= (n_{2}-1) = (13-1) = 12,

**the p value =
0.3266**

[ in any blank cell of excel type =F.DIST.RT(1.3018,15,12) ]

**decision**:-

p value = 0.3266 > 0.05(alpha)

**we fail to
reject the null hypothesis. There is not enough evidence to claim
that , the Ipad tablets have a higher variance in battery life than
the Surface tablets.**

*** if you have any doubt regarding the problem ,please write it
in the comment box...if satisfied,please
**UPVOTE.**

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