A distributor for musicals claimed that the ticket sales for a particular musical hit an average of

Question

A distributor for musicals claimed that the ticket sales for a particular musical hit an average of $1220$ tickets a day, with variance $3136$. A random sample of $61$ days was taken and the sales, $x$ tickets, for each day were recorded. It was found that

$\sum(x-1100)=6608$

State, with a reason, whether it is necessary to assume that the ticket sales follow a normal distribution in order to test his claim at $10\%$ significance level.
Test at $10\%$ significance level whether the distributor was overstating his claim.

Accepted Answer

(ii) $\begin{align} & {{H}_{0}}:\mu =1220 \ & {{H}_{1}}:\mu <1220 \ \end{align}$ , Reject ${{H}_{0}}$.

Population with Known Variance And Not Normally Distributed

Population with Known Variance And Not Normally Distributed

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