Snow sanc es can be e, pro lem fo re e ers in the este Unitec 5totes and Cards a

Question

Snow sanc es can be e, pro lem fo re e ers in the este Unitec 5totes and Cards a very commor t pe 015 8 che led the s 50,velB che. These h5ve been studied extens er by Devd McC of CanBJ hec an average thickness of -G5cm. The ski potro atVail, colorado |& udy'ng sleb avel5 chesin its repon. A oncom ssmple ofavelanc es n spring geve t e flowing thickmesees (in cm), g, a pro esssrofo engnee ng st the university D beh Coumb. Suppose elebav, renee studed nregon CUe celculstor with sample mean and standard devaton keys to find nd s. (Round your answers to two decimal paces.) [4) Asa me the ab thick res as an aparo mater non ral dtr bution. Usea 10% level ot s gnt cance to test ti-e can that the mean sab thickness r the Wi repon ts dferent trom that in the region of Canada a) What is the leve of sgnncerce? Gryt, the nul 8nd 5lternste nypothese b) What samping detnbubon wil you u? Explain the ratonsle tor your chaice ot samplina detnbution. 0 The sta-dard normal, snce sse assume tha. h2s normal distriDuton and s on. U 1h.tiniard rnrrmel, Nr1n.N" Kesum" tie y h.ermal riintriater, and 1.rkmmar. The Student's t, s n ce-e Msume that X h35 normal distrouton and is uknown. what s the value of the sample tes: statstic?Round your 2nswer to three decinns plDces.) c)rd the Pialae. (Round your 5never to four dearns d5ces.)

Explanation / Answer

(a)   = 66 cm

66 cm

sample mean x = 61.625 cm

sample standard deviation s = 10.4937

(b) We will use student's t distribution as we dont know the population standard deviation. Option D is correct

standard error of sample mean se0= s/sqrt(n) = 10.4937/ sqrt(16) = 2.6234

Here test statistic

t = (x - 66)/ se0 = (61.625 - 66)/ 2.6234 = - 1.6677

so here

p - value = Pr( lT l < 1.6677, dF = 15, 2 tailed) = 0.1161 > 0.10

so at alpha = 0. 10 we shall not reject the null hypothesis and conclude that the mean thickness of avalches is 66 cm.

The graph (a) is correct here.

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