The manufacturing process at a factory produces ball bearings that are sold to automotive manufacturers. The factory wants to estimate the average diameter of a ball bearing that is in demand to ensure that it is manufactured within the specifications. Suppose they plan to collect a sample of 50 ball bearings and measure their diameters to construct a 90% and 99% confidence interval for the average diameter of ball bearings produced from this manufacturing process. In your initial post, address the following items. Be sure to answer the questions about both confidence intervals and hypothesis testing. The sample data constructs a 90% and 99% confidence interval for the average diameter of ball bearings produced from this manufacturing process. These confidence intervals were created using the Normal distribution based on the assumption that the population standard deviation is known and the sample size is sufficiently large. My confidence intervals for my sample of 50 ball bearings is as follows: 90% confidence interval = (2.33, 2.56) 99% confidence interval = (2.26, 2.63) Interpret both confidence intervals. Make sure to be detailed and precise in your interpretation. 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. In your initial post, address the following items: Define the null and alternative hypothesis for this test in mathematical terms and in words. Report the level of significance. Report the correct P-value based on the alternative hypothesis using the information below: z-test hypothesis test for population mean test-statistic = 2.37 two tailed p-value = 0.0178 4. Provide your conclusion and interpretation of the results. Should the null hypothesis be rejected? Why or why not?
The manufacturing process at a factory produces ball bearings that are sold to automotive manufacturers. The factory wants to estimate the average diameter of a ball bearing that is in demand to ensure that it is manufactured within the specifications. Suppose they plan to collect a sample of 50 ball bearings and measure their diameters to construct a 90% and 99% confidence interval for the average diameter of ball bearings produced from this manufacturing process.
In your initial post, address the following items. Be sure to answer the questions about both confidence intervals and hypothesis testing.
The sample data constructs a 90% and 99% confidence interval for the average diameter of ball bearings produced from this manufacturing process. These confidence intervals were created using the
My confidence intervals for my sample of 50 ball bearings is as follows:
90% confidence interval = (2.33, 2.56)
99% confidence interval = (2.26, 2.63)
- Interpret both confidence intervals. Make sure to be detailed and precise in your interpretation.
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.
In your initial post, address the following items:
- Define the null and alternative hypothesis for this test in mathematical terms and in words.
- Report the level of significance.
- Report the correct P-value based on the alternative hypothesis using the information below:
z-test hypothesis test for population
mean test-statistic = 2.37
two tailed p-value = 0.0178
4. Provide your conclusion and interpretation of the results. Should the null hypothesis be rejected? Why or why not?
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