Pearson Edexcel Level 3 GCE..Further Mathematics Advanced Subsidiary Further Mathematics options 23: Further Statistics 1 (Part of options B, E, F and G).

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1. Flobee sells tomato seeds in packets, each containing 40 seeds. Flobee advertises that only 4% of its tomato seeds do not germinate. Amodita is investigating the germination of Flobee’s tomato ... seeds. She plants 125 packets of Flobee’s tomato seeds and records the number of seeds that do not germinate in each packet. Number of seeds that do not germinate 0 1 2 3 4 5 6 or more Frequency 15 35 38 22 10 5 0 Amodita wants to test whether the binomial distribution B(40, 0.04) is a suitable model for these data. The table below shows the expected frequencies, to 2 decimal places, using this model. Number of seeds that do not germinate 0 1 2 3 4 5 or more Expected Frequency 24.42 40.70 r 17.45 6.73 s (a) Calculate the value of r and the value of s (2) (b) Stating your hypotheses clearly, carry out the test at the 5% level of significance. You should state the number of degrees of freedom, critical value and conclusion clearly. (6) Amodita believes that Flobee should use a more realistic value for the percentage of their tomato seeds that do not germinate. She decides to test the data using a new model B(40, p) (c) Showing your working, suggest a more realistic value for p (2 [Show More]

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