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Question 1. The time taken for bleeding from a pricked finger to stop has a mean...

Question 1.

The time taken for bleeding from a pricked finger to stop has a mean of 1.5 mins.

To see whether pressure applied to the upper arm increases the time taken for bleeding to stop, a sample of 18 persons was taken. All the 18 persons had identical slight pressure applied to their upper arms and their fingers were pricked. The observed mean time taken for bleeding to stop for the sample was 1.7 mins and the standard deviation of the times for the sample was 0.4 mins.

  1. State the sampling distribution for the given sample.                                         (1)

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Perform a t-test at the 5% level to determine whether the sample provides sufficient evidence to indicate that pressure does increase the time taken for bleeding to stop by completing the questions from a to b.

  1. State why the data should be analysed using a t-test.                                      (1)

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  1. State the null and alternative hypotheses for the test.                                        (2)

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  1. Determine the standard error for the test.                                                             (2)

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  1. Determine the value of your calculated t-test statistic.                                       (2)

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  1. Find the degrees of freedom for the test.                                                              (1)

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  1. Using the t-table, find the critical value of the t-test statistic for the test.         (1)

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  1. From part (c) and (e) conclude, whether the pressure increases the bleeding time. Explain youranswer.   (2)

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  1. Name the error you might have made with your conclusion in part (h).         (1)

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i)         Find a 95% confidence interval for the mean time for bleeding to stop when pressure is applied to the upper arm. (2)

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math   Statistics-And-Probability   
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