An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 69

69

type K batteries and a sample of 54

54

type Q batteries. The mean voltage is measured as 9.02

9.02

for the type K batteries with a standard deviation of 0.275

0.275

, and the mean voltage is 9.36

9.36

for type Q batteries with a standard deviation of 0.800

0.800

. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let

1

1

be the true mean voltage for type K batteries and

2

2

be the true mean voltage for type Q batteries. Use a 0.05

0.05

level of significance.