Battery
a New Brand of Battery for Use in Calculators

question 11

Essay

Battery
A new brand of battery for use in calculators and cameras is said to last significantly longer than another brand.A camera manufacturer is to test this brand (Y)with brand (X)to see if brand Y has a longer life.If brand Y does last longer,the camera manufacturer will equip their new cameras with them.If not,they will equip them with brand X that is less costly.Twenty cameras are equipped as follows: ten with brand Y batteries and ten with brand X batteries and the life of the batteries measured.Is brand Y superior (does it last longer)to brand X? To answer this question,the camera manufacturer uses a 0.01 significance level and knows that the populations are normally distributed with equal variances.Sample data are: $$\begin{array} { | c | c | } \hline \text { Brand } \boldsymbol { X } & \text { Brand } \boldsymbol { Y } \\\hline n _ { 1 } = 10 & n _ { 2 } = 10 \\\bar { x } _ { 1 } = 500 \text { hours } & \bar { x } _ { 2 } = 650 \text { hours } \\s _ { 1 } ^ { 2 } = 400 & s _ { 2 } ^ { 2 } = 484 \\\hline\end{array}$$
-State the conclusion.

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Definitions:

Common Stock Subscribed

Temporary stockholders’ equity account that records at par value stock that has been subscribed to but not fully paid for.

Organization Expense

These are initial costs incurred in the process of starting a business, such as legal fees, state fees, and promotional expenses, which may be expensed or capitalized over time.

Common Stock

A form of corporate equity ownership, a type of security representing an ownership share in a corporation.

Common Stock Subscribed

Common stock subscribed refers to shares that investors have committed to purchase but have not yet been issued by the company.