Having trouble figuring out this question. 3. Hypothesis tests about a populatio

ID: 3157543 • Letter: H

Question

Having trouble figuring out this question.

3. Hypothesis tests about a population mean, population standard deviation unknown Aa Aa Airlines compute the weight of outbound flights using either standard average weights provided by the Federal Aviation Administration (FAA) or weights obtained from their own sample surveys. The FAA standard average weight for a passenger's carry-on items (personal items plus carry-on bags) is 16 pounds. Many airline companies have begun implementing fees for checked bags. Economic theory predicts that passengers will respond to the increase in the price of a checked bag by substituting carry-on bags for checked bags. As a result, the mean weight of a passenger's carry-on items is expected to increase after the implementation of the checked-bag fee. Suppose that a particular airline's passengers had a mean weight for their carry-on items of 16 pounds, the FAA standard average weight, before implementation of the checked-bag fee. The airline conducts a hypothesis test to determine whether the current mean weight of its passengers' carry-on items is more than 16 pounds. It selects a random sample of 80 passengers and weighs their carry-on items. The sample mean is R = 17.4 pounds, and the sample standard deviation is s = 5.7 pounds. The airline uses a significance level of = .05 to conduct its hypothesis test. The hypothesis test is test. The test statistic follows a distribution. The value of the test statistic is

Explanation / Answer

Reject Ho if t 1.664

Hypothesis test is B). upper tail

Statistics follows A) t distribution

Test statistic B). 2.1968 or 2.20

P value A). 0.0154

Null hypothesis is A) rejected Because 2.20 >1.664

Using p value approach,

Null hypothesis is B) rejected because D). 0.0154 < 0.05

Therefore you A) can conclude that.

t Test for Hypothesis of the Mean

Data

Null Hypothesis m=

Level of Significance

0.05

Sample Size

Sample Mean

17.4

Sample Standard Deviation

5.7

Intermediate Calculations

Standard Error of the Mean

0.6373

Degrees of Freedom

t Test Statistic

2.1968

Upper-Tail Test

Upper Critical Value

1.6644

p-Value

0.0155

Reject the null hypothesis