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2.5.3 Hypothesis test for a Normal mean (A-level only)

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Question 22

A local florist sells luxury bouquets at an average rate of 1.5 per day.

a.

Find the probability that the florist sells more than 15 luxury bouquets in a 10-day period.

[3]
b.

Once every 10 days, the florist receives a fresh shipment of bouquets.

Find the least number of bouquets the florist should have in stock immediately after a shipment arrives so that the probability of selling out (running out of stock) before the next shipment is less than 0.01.

[3]
c.

In an attempt to boost sales, the florist runs a social media advertising campaign for three months. A random sample of 40 days is taken from this period. In this sample, 75 luxury bouquets are sold.

Using a suitable approximation and a 5% level of significance, test whether or not the average rate of sales per day has increased during the advertising campaign. State your hypotheses clearly.

[7]

2.5.3 Hypothesis test for a Normal mean (A-level only) Questions

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