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Q6

Suppose certain electronic components require gold leaf to produce-say with standard deviation ơ-19 cm2 and unknown mean. We want to test, in an unbiased way, whether the mean amount of gold leaf required per component is 25 cm2, and are given the information that for a particular sample of size 62 (supposed to be independent and identically distributed) we have sample mean 30 cm2. rozanna purcell - Google Search Give appropriate null and alternative hypotheses for this problem In cm2, the null hypothesis is Ho 25 30 while the alternative hypothesis is Hi:H Suppose certain electronic components require gold leaf to produce-say with standard deviation σ-19 cm2 and unknown mean. We want to test whether the mean amount of gold leaf required per component is 25 cm2, and are given the information that for a particular sample of size 62 (supposed to be independent and identically distributed) we have sample mean 30 cm2 Assuming the null hypothesis from the last exercise holds, specify an expression for the standardised version Z of the estimator Xn of statistic, and the P-value. such that Z N(0,1). Then calculate the observed value z of the test In terms of Y-Xn a suitable test statistic is Z The observed value of the test statistic is (to 2 decimal places) z A The P-value is (to 4 decimal places) approximately

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