Question

A
company wishes to know if an early invented lightbulb last longer
than a light bulbs they currently sell. 50 of each type of Bulb are
tested. The new light bulbs last on average 42 days with a standard
deviation of two days and the old bulbs last on average 36 days
with a standard deviation of five days.

In the following state the Null hypothesis and
alternates.

so I just need To know what you would write out as the
hypothesis

Answer #1

Solution:

Let,

Group 1: Old light bulbs

Group 2: New light bulbs

Given:

and

n1 = n2 = 50

The claim: An early invented lightbulb last longer than a light bulbs they currently sell.

That means, company wants to claim that old light bulbs are longer living than new light bulbs.

Therefore, null and alternative hypotheses:

Done

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