As part of a benthic community survey of Lady Ellleiot Island, 16 sea stars, Linckia laevigata, were collected and their longest arm was measured to the nearest tenth of a centimeter.

10.3, 11.0, 10.5, 10.0, 11.3, 14.5, 13.0, 12.1, 12.1, 9.4, 11.3, 12.0, 11.5 9.3, 10.1, 7.6

A)Use R to calculate the sample mean and the variance. (give codes for R)

B) Use R to test whether the length of the longest arm (the parent population) follows a normal distribution. Please state the null and alternative hypothesis; and your statement of conclusion

C) With α=0.05, can we say the population mean is significantly different from 12 cm. (You can choose to use traditional or p-value method)

D) Use R to do the above test and please circle the P-value in your R outputs.

E) Calculate the 95% confidence interval for the population mean. In your words explain what this confidence interval represents.

F) Use confidence interval to test the above hypothesis in (C), i.e. Can you reject null hypothesis based on the confidence interval you calculated

Subject | Mathematics |

Due By (Pacific Time) | 10/26/2013 06:00 pm |

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