A bakery claimed that the average number of loaves of bread sold per day is more than $150$, with

Question

A bakery claimed that the average number of loaves of bread sold per day is more than $150$, with variance $2500$. A random sample of $50$ days was taken and the sales, $x$ loaves, for each day were recorded. It was found that

$\sum(x-140)=-120$

State, with a reason, whether it is necessary to assume that the bread sales follow a normal distribution in order to test this claim at the $10\%$ significance level.
Test at the $10\%$ significance level whether the bakery’s claim was valid.

Accepted Answer

(ii) $p-$value = $0.0397$; Reject ${{H}_{0}}$

Population with Known Variance And Not Normally Distributed Q1

Population with Known Variance And Not Normally Distributed Q1

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