A farmer claims that the mean weight of the melons grown in his farm is at least $1.2$ kg. A random

Question

A farmer claims that the mean weight of the melons grown in his farm is at least $1.2$ kg. A random sample of $10$ melons is chosen and the weight, $x$ kg, of each melon is recorded. The results are as follows: By combining the $2$ sets of data, find unbiased estimates of the population mean and population variance of the weight of a melon grown by this farmer. [2] The farmer decides to change the claim to “the mean weight of the melons grown in his farm is at least $m$ kg”. Based on the combined sample of size $50$, find the set of values of $m$ for which the farmer’s claim is not rejected at the $5\%$ significance level. [3]

Accepted Answer

(ii) $0 < m < 1.29$

2015 AJC P2 Q10

2015 AJC P2 Q10

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