a) An engineer wishes to compare the mean lifetimes of two types of transistors in an…

a) An engineer wishes to compare the mean lifetimes of two types of transistors in an application involving high-temperature performance. A random sample of 30 transistors of type A and a random sample of 30 oftype B were tested and the lifetime (minutes) of each transistor recorded. Appropriate plots and Minitab output are given below. Write a short report on whether there is evidence of a significant difference in the mean lifetime between the two transistor types [20 marks Descriptive Statistics: Type A, Type B Variable Minimum Maximum Mean StDev Q1 Median Q3 Туре А Туре в 30 1777.4 1576.4 1351.0 2071.3 158.7 1659.2 1779.4 1896.9 1465.0 1592.9 1746.5 30 203.0 1138.2 1873.2 Boxplot of Transistor Lifetimes by Type 2200 2000 1800 1600 3400 1200 1000- Type A Type B Two-Sample T-Test and CI: Type A, Type B Two-sample T for Type A vs Type B SE StDev Mean Mean 29 Туре А Туре в 30 1777 159 203 37 30 1576 Difference-u (Type A)- (Type B) Estimate for difference: 95 CI for difference: T-Test of difference 0 (vs 201.0 (106.7, 295.3) DF 54 P-Value T-Value-4.27 0.000 (sanou uan