A local florist sells luxury bouquets at an average rate of 1.5 per day.
Find the probability that the florist sells more than 15 luxury bouquets in a 10-day period.
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.
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.
355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.