Suppose That Max Is A Climate Change Scientist And Butterfly Enthusiast In Max S Locale The Mean Summer Temperature Ov 1 (145.24 KiB) Viewed 32 times
Suppose That Max Is A Climate Change Scientist And Butterfly Enthusiast In Max S Locale The Mean Summer Temperature Ov 2 (174.38 KiB) Viewed 32 times
Suppose That Max Is A Climate Change Scientist And Butterfly Enthusiast In Max S Locale The Mean Summer Temperature Ov 3 (111.28 KiB) Viewed 32 times
Suppose that Max is a climate change scientist and butterfly enthusiast. In Max's locale, the mean summer temperature over the last ten years was higher than it was in the previous ten years. Max wonders if the size of adult male monarch butterflies has changed with the temperature difference. He knows that in his locale, historically, the mean rear wing length of adult male monarchs was 38.1 mm. He collects a random sample of n adult male monarchs to compare to the historical average. His sample data is shown in the given stem-and-leaf plot, where the stem unit is mm and the leaf unit is tenths of a mm. 35 7 36 6 37 0 1 1 2 3 3 3 5 5 7 79 38 1 23366 39 1 5 Leaf unit = 0.1 mm From experience, Max knows that the rear wing length of monarch butterflies is normally distributed. He decides to use a t- test with a significance level of a = 0.05 to test the null hypothesis, Ho = 38.1 against the alternative hypothesis, H₁ μ# 38.1, where u is the population mean. : H If the requirements for a t-test have not been met, only state the test decision and conclusion. Otherwise, find the mean, standard deviation, t-statistic, P-value, and state the test decision and conclusion.
i me requiremen standard deviation, t-statistic, P-value, and state the test decision and conclusion. First, compute the mean, x, of Max's sample. Report your answer with two decimals of precision. = 37.71 S = Then, compute the sample standard deviation, s. Report your answer with two decimals of precision. 0.69 mm t-statistic = Next, compute the t-statistic of the test. Report your answer with three decimals of precision. mm -2.65
Finally, state the decision and conclusion of Max's test. Max no conclusion can be made about mean wing size of adult male monarch butterflies is greater than 38.1 mm decision there is sufficient evidence that The conclusion is that to fail to reject alternative hypothesis because the requirements have not been met Answer Bank null hypothesis cannot make a is less than 38.1 mm there is insufficient evidence that to reject the is different than 38.1 mm the current should make the about is equal to 38.1 mm
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