Because of the Cost of Producing Television Shows and the Profits

question 42

Essay

Because of the cost of producing television shows and the profits associated with successful shows, television network executives are keenly interested in public opinion. A network has recently developed three comedy series. The pilot of each series is shown to 10 randomly selected people, who evaluate each show on a 9-point scale where 1 = terrible and 9 = excellent. The results are shown below. $\quad$ $\quad$ $\quad$$\text { Assessments of Television Shows }$
$\begin{array}{|c|c|c|c|}\hline \text { Person } & \text { Show 1 } & \text { Show 2 } & \text { Show 3 } \\\hline 1 & 6 & 4 & 7 \\\hline 2 & 5 & 4 & 5 \\\hline 3 & 7 & 6 & 8 \\\hline 4 & 7 & 7 & 8 \\\hline 5 & 9 & 9 & 9 \\\hline 6 & 5 & 7 & 6 \\\hline 7 & 4 & 4 & 5 \\\hline 8 & 6 & 3 & 7 \\\hline 9 & 5 & 6 & 6 \\\hline 10 & 7 & 7 & 8 \\\hline\end{array}$
Can we infer at the 5% significance level that differences exist among the show's evaluations?

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Definitions:

Reserve Ratio

The fraction of deposits that banks are required to keep on hand as reserves, either in their vaults or with the central bank, to ensure liquidity.

Goldsmith's Receipts

Goldsmith's Receipts were historically issued by goldsmiths in the form of promissory notes against the gold deposited with them, leading to the development of banking.

NOW Accounts

Interest-earning banking accounts that permit writing checks against the deposited funds.

Interest-Bearing

Pertaining to financial instruments or accounts that generate interest income over time for the holder, such as bonds or savings accounts.