It has been claimed from previous studies that the average diameter of ball bearings from this manufacturing process is 2.30 cm. Based on the sample of 50 that you collected, is there evidence to suggest that the average diameter is greater than 2.30 cm? Perform a hypothesis test for the population mean at alpha = 0.01.

Define the null and alternative hypothesis for this test in mathematical terms and in words.

Report the level of significance.

INFO:

z-test hypothesis test for population mean

test-statistic = 2.32

two tailed p-value = 0.0206

90% confidence interval (rounded) = (2.34, 2.57)

99% confidence interval (rounded) = (2.28, 2.64)

Thank you!