1. In crash tests at 5 miles per hour, the mean bumper repair cost for 14 randomly selected small cars is $473 with a standard deviation of $190. In similar tests of 23 randomly selected midsize cars, the mean bumper repair cost is $741 with a standard deviation of $205. At a 10% significance level, can you conclude that the mean bumper repair cost is less for small cars than it is for midsize cars? Assume that both populations are normally distributed, but the population standard deviations are not equal to each other. a)Identifythefollowing:?= ,?1 = , ?̅1 = , ?1 =b) Symbolically identify: ? : ? : ,?2 = , ?̅2 = Left-tailed test Non-pooled t-test df = DO NOT REJECT ?? 0? , ?2 = Two-tailed test Identify the correct test for this problem: Right-tailed test Identify the correct test for this problem: Pooled t-test c) Use your calculator to identify the following items: Test Statistic = p-value = d) How does your p-value compare to alpha? Identify the correct conclusion: REJECT ??e) State your final conclusion in regards to this particular problem.
1. In crash tests at 5 miles per hour, the mean bumper repair cost for 14 randomly selected small cars is $473 with a standard deviation of $190. In similar tests of 23 randomly selected midsize cars, the mean bumper repair cost is $741 with a standard deviation of $205. At a 10% significance level, can you conclude that the mean bumper repair cost is less for small cars than it is for midsize cars? Assume that both populations are
a)Identifythefollowing:?= ,?1 = , ?̅1 = , ?1 =b) Symbolically identify: ? : ? :
,?2 = , ?̅2 =
Left-tailed test Non-pooled t-test
df =
DO NOT REJECT ??
0?
, ?2 =
Two-tailed test
Identify the correct test for this problem: Right-tailed test
Identify the correct test for this problem: Pooled t-test c) Use your calculator to identify the following items:
Test Statistic = p-value = d) How does your p-value compare to alpha?
Identify the correct conclusion: REJECT ??
e) State your final conclusion in regards to this particular problem.
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