Question

An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 5555 type K batteries and a sample of 7272 type Q batteries. The type K batteries have a mean voltage of 9.119.11, and the population standard deviation is known to be 0.6480.648. The type Q batteries have a mean voltage of 9.439.43, and the population standard deviation is known to be 0.2710.271. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let μ1μ1 be the true mean voltage for type K batteries and μ2μ2 be the true mean voltage for type Q batteries. Use a 0.10.1 level of significance.

Step 3 of 5:

Find the p-value associated with the test statistic. Round your answer to four decimal places.

Answer 1

Answer:

H0: 1 = 2

Ha: 1 2

Test statistics

z = (1 - 2) / sqrt [ 1 / n1 + 2 / n2]

= (9.11- 9.43) / sqrt [0.648^2 / 55 + 0.271^2 / 72]

= -3.44

p-value = 2 * P (Z < z) (This is two tailed test)

= 2 * P (Z < -3.44)

= 0.0006