Question

Perform each of the following steps: a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results.

AVALANCHE The average avalanche will leave a depth of snow of 180.009 inches, according to meteorologists ( with a stdev = 10.6 inches). Joanna believes that average depth is LOWER than stated and goes about testing several occurrences.   She tests 49 avalanche occurrences and obtains a sample mean of 178 .29 inches. Test her claim at a 95% level. .   PROVIDE A DETAILED TEST by answering the questions below.----- DO NOT USE THE P-VALUE METHOD—USE THE TRADITIONAL METHOD

Answer 1

a)

H0: = 180.009

Ha: < 180.009

b)

Critical value at 0.05 level = -1.645

c)

Test statistics

z = - / / sqrt(n)

= 178.29 - 180.009 / 10.6 / sqrt(49)

= -1.135

d)

Since test statistics falls in non-rejection region, (That is z > -1.645) , we do not have sufficient

evidence to reject H0 .

e)

We conclude at 0.05 level that we fail to support the claim.