A normally distributed population is having standard deviation 2.6. A sample of 25 is taken randomly and the sample mean observed is 19.5. Find the 95% confidence interval? [Round to 3 decimals] ** Use critical value = 1.96
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- An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, Find a 97% confidence interval for the population mean of all bulbs produced by this firm. Round of to 2-5 decimal places.A random sample of 50 roundtrip flights between New York and Chicago has an average airfare of $400 with a sample standard deviation of $50.0. The critical value for an 95% confidence interval around this sample mean is ________.An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, find a 98% confidence interval for the population mean of all bulbs produced by this firm.
- A random sample of 20 acres gave a mean yield of sugarcane equal to 41.2 tons per acre with astandard deviation of 3 tons. Assuming that the yield of sugarcane per acre is normallydistributed,a. Construct a 90% confidence interval for the population mean.b. What is the margin of error for this estimate in part a?The weight of a certain machined part has a standard deviation of 4 grams. How many parts from the assembly line would you need to sample to calculate a 95% confidence interval estimate of the average weight of the parts being manufactured with a margin of error of 2.27 grams?An electrical firm manufactures light bulbs that have a length of life that is appropriately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, find a 99% confidence interval for the population mean of all bulbs produced by this firm.
- Suppose you have a random sample of 50 cans of oil from a very large shipment, and they weigh an average of 31.15 kg., with a standard deviation of 0.08 kg. Calculate a 90% confidence interval for this estimate of the mean weight of the cans in this shipment. Can you safely conclude that there is no more than a 5% chance that the mean weight of the cans in this shipment is less than 31 kg? Show why or why notA sample of size 25 drawn from a normally distributed population has a sample mean 12 and a sample standard deviation 5. Construct an 80% confidence interval for the population mean.The national fire protection association reported that house fires in the United States result in $6.8billion in losses annually. Suppose a random sample of 50 house fires in San Antonio yields a mean loss of $18503. If the population standard deviation is $3300, what is the margin of error for a 95% confidence interval? What would you recommend if the study required a margin of error of $300 or less
- The concentration of carbon monoxide (CO) in a gas sample is measured by a spectrophotometer and found to be 85 ppm. Through long experience with this instrument, it is believed that its measurements are unbiased and normally distributed, with an uncertainty (standard deviation) of 8 ppm. Find a 95% confidence interval for the concentration of CO in this sample.A sample from a normal population is given with mean 54 and the standard deviation 12. Find the distance between the upper and lower bound of a 95% confidence interval for the population mean. (answer in two decimals)A sample of 5 water speciments selected for treatment found a sample mean of arsenic concentration of 24.3 and sample standard deviation of 4.1. Using the t-distribution and assuming a normal population distribution, compute the 95% confidence interval for the true average arsenic concentration. What is the upper value of this interval? What is the lower value of this interval?