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In: Statistics and Probability

A high street store was interested to discover if the spending of customers using credit cards...

A high street store was interested to discover if the spending of customers using credit cards is different from the spending of customers using cash. A random sample of 52 customers using credit cards for a single transaction had a mean spend of £36.43 with standard deviation £12.08. A random sample of 38 customers using cash for a single transaction had a mean spend of £31.84 with standard deviation £11.27.

A hypothesis test is to be performed to investigate whether the mean spend by customers using credit cards was equal to the mean spend by customers using cash.

(a) Using appropriate notation, which you should define, specify the null and alternative hypotheses associated with the test.

(b) Calculate the value of the estimated standard error of the difference between the sample means, as well as the value of the test statistic.

(c) Complete the hypothesis test, carefully detailing the conclusions of the test.

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orchestra answered 1 year ago
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