Aa Aa E 3. Hypothesis tests about a population mean, population standard deviati

Question

Aa Aa E 3. Hypothesis tests about a population mean, population standard deviation unknown Airlines compute the weight of outbound flights using either standard average weights provided by the Federal Aviation Administration (FAA) o weights obtained from their own sample surveys. The FAA standard average weight r 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 passengers carry-on items is expected to increase after the implementation of the checked-bag eet 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 81 passengers and weighs their carry-on items. The sample mean is X 17.1 pounds, and the sample standard deviation is s 6.0 pounds. The airline uses a significance level of o 01 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

1) the hypothesisd test is one sample t test

follows a normal distribution

std error =std deviation/(n)1/2 =0.6667

hence test stat t=(X-mean)/std error =1.65

reject Ho if t>2.374

p value =0.0514

null hypothesis is retained as t stat <t crtical.

null hypothesis retained beacuse p value > 0.01 level, do not have sifficient evidence to conclude tha

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