A manufacturing process produces ball bearings with diameters that have a normal distribution with known standard deviation of .04 centimeters. Ball bearings with diameters that are too small or too large are undesirable. In order to test the claim that μ = 0.50 centimeters, perform hypothesis test at the 5% level of significance. Assume that a random sample of 25 gave a mean diameter of 0.51 centimeters. Perform a hypothesis test (4 step procedure outlined in class) and state your decision.
Added by Tiffany S.
Step 1
The null hypothesis (H₀) is that the true mean diameter of the ball bearings is 0.50 centimeters. The alternative hypothesis (H₁) is that the true mean diameter is not 0.50 centimeters. H₀: μ = 0.50 H₁: μ ≠ 0.50 Show more…
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Sri K.
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 = 3.32 two tailed p-value = 0.0009 90% confidence interval (rounded) = (2.41, 2.65) 99% confidence interval (rounded) = (2.35, 2.71)
Sheryl E.
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