An agriculture publication claims that the population mean of the birth weights for all Suffolk sheep is 4.23kg. A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Suffolk sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Suffolk sheep is 2.15kg.Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the birth weights for all Suffolk sheep. Then state whether the confidence interval you construct contradicts the publication's claim. (If necessary, consult a list of formulas.)(a) Click on
Q. An agriculture publication claims that the population mean of the birth weights for all Suffolk sheep is 4.23kg. A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Suffolk sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Suffolk sheep is 2.15kg.Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the birth weights for all Suffolk sheep. Then state whether the confidence interval you construct contradicts the publication's claim. (If necessary, consult a list of formulas.)(a) Click on
Calculate z-score: Calculate the z-score for a 95% confidence interval using the provided critical values table.
Compute margin of error: Compute the margin of error using the z-score and the population standard deviation.
Calculate bounds of interval: Calculate the lower and upper bounds of the confidence interval.
Compare with claim: Compare the confidence interval with the publication's claim.
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