1.Snow avalanches can be a real problem for travelers in the western Unites States and Canada. A very common Type of avalanche is called the slab avalanche. Slab avalanches studied in Canada had an average thickness of μ=67 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of 36 avalanches in spring 2009 gave the mean and standard deviation of the data. x = 61.8, s = 10.65 a)If we would like to test the claim that the mean slab thickness in the Vail region is less than that in Canada. What should the null and alternative hypothesis be? b)What is the t-test statistic? c)Find the p-value using StatKey. d)At the 0.05 significance level, do we have strong evidence to support the claim that the mean slab thickness in the Vail region is less than that in Canada? e)How about at the 0.01 significance level, do we reject the null hypothesis H0?
1.Snow avalanches can be a real problem for travelers in the western Unites States and Canada. A very common Type of avalanche is called the slab avalanche. Slab avalanches studied in Canada had an average thickness of μ=67 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of 36 avalanches in spring 2009 gave the
x = 61.8, s = 10.65
a)If we would like to test the claim that the mean slab thickness in the Vail region is less than that in Canada. What should the null and alternative hypothesis be?
b)What is the t-test statistic?
c)Find the p-value using StatKey.
d)At the 0.05 significance level, do we have strong evidence to support the claim that the mean slab thickness in the Vail region is less than that in Canada?
e)How about at the 0.01 significance level, do we reject the null hypothesis H0?
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