An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is in excess of the 14 ounces printed on each cartridge. To check this claim, a sample of n = 17 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are: $\bar { x }$ = 14.1 ounces, s = .17 ounce. To determine whether the supplier's claim is true, consider the test, H0: ? = 14 vs. Ha: ? 14, where ? is the true mean weight of the cartridges. Calculate the value of the test statistic.
A) 2.425
B) 1.000
C) 10.000
D) 0.588

Question

An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is in excess of the 14 ounces printed on each cartridge. To check this claim, a sample of n = 17 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are: $\bar { x }$ = 14.1 ounces, s = .17 ounce. To determine whether the supplier's claim is true, consider the test, H0: ? = 14 vs. Ha: ? > 14, where ? is the true mean weight of the cartridges. Calculate the value of the test statistic.
A) 2.425
B) 1.000
C) 10.000
D) 0.588

Quizplus · Accepted Answer

The test statistic is calculated using the formula: $ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} $. Substituting the given values: $ t = \frac{14.1 - 14}{0.17/\sqrt{17}} = 2.425 $.

An Industrial Supplier Has Shipped a Truckload of Teflon Lubricant xˉ\bar { x }xˉ

An Industrial Supplier Has Shipped a Truckload of Teflon Lubricant $\bar { x }$