Data were collected on annual personal time (in hours) taken by a random sample of 16 women (group1) and 7 men (group 2) employed by a medium sized company.  The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours.  The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours.  The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary childcare givers in the family.  The results of the test are t = 2.02 with an associated P-value of 0.0352.  The correct conclusion at α = 0.05 is to ________________________ .

An army depot that overhauls ground mobile radar systems is interested in improving its processes.  One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system.  The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component.  Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees.  In order to determine if having a standard work procedure in place reduces troubleshooting time, they should use ________________________ .

An army depot that overhauls ground mobile radar systems is interested in improving its processes.  One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system.  The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component.  Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees. The P-value associated with the calculated test statistic is < 0.001.  At α = 0.05, the correct conclusion is to ________________________ .

A manufacturer of cheese filled ravioli supplies a pizza restaurant chain.  Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed.  To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling.  They find a sample mean weight of 15 grams with a standard deviation of 1.5 grams.  What is the margin of error at 90% confidence?

A small business ships specialty homemade candies to anywhere in the world.  Past records indicate that the weight of orders is normally distributed.  Suppose a random sample of 16 orders is selected and each is weighed.  The sample mean was found to be 110 grams with a standard deviation of 14 grams.  Which of the following statements is true?

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. To decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year.  After training was implemented, a sample of 450 chips revealed only 27 defects.  A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.  Which of the following statement is true about this hypothesis test?

An army depot that overhauls ground mobile radar systems is interested in improving its processes.  One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system.  The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component.  Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees. Assuming that we define our differences as Time without standard work procedure – Time with standard work procedure, the correct alternative hypothesis is ________________________ .

A manufacturer of cheese filled ravioli supplies a pizza restaurant chain.  Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed.  To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli.  The correct value of t* to construct a 98% confidence interval for the true mean amount of cheese filling is ________________________ .

An army depot that overhauls ground mobile radar systems is interested in improving its processes.  One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system.  The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component.  Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees. The standard error of the mean difference is ________________________ . Without Standard Work Procedure With Standard Work Procedure DifferenceWithout – With 142 119 23 144 118 26 153 126 27 148 119 29 146 121 25 149 125 24 138 116 22 145 120 25 153 124 29 160 138 22 163 135 28 170 144 26 169 142 27 151 128 23 152 131 21 167 141 26 164 140 24 165 140 25 163 138 25

In a metal fabrication process, metal rods are produced to a specified target length of 15 feet.  Suppose that the lengths are normally distributed.  A quality control specialist collects a random sample of 16 rods and finds the sample mean length to be 14.8 feet and a standard deviation of 0.65 feet.  The 95% confidence interval for the true mean length of rods produced by this process is ________________________ .