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Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is
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- Assume that adults have IQ scores that are normally distributed with a mean of 103.8 and a standard deviation 15.7. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. The first quartile isA simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation was determined to be 80 and 12 respectively. What is the standard error of the mean?How large a sample should be selected to provide a 99% confidence interval with a margin of error of 14? Assume that the population standard deviation is 55.
- For a sample of 23 operating rooms taken in a hospital study, the mean noise level was 37.9 decibels, and the standard deviation was 7.6. Find the 95% confidence interval of the true mean of the noise levels in the operating rooms. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.A veterinarian wants to estimate the mean weight of a cat in their city. They take a random sample of 19 cats and found a mean of 10.9 lbs with a sample standard deviation of 1 lbs. Find the 95% confidence interval of the mean. Assume that the cat weights are normally distributed. Do not round in between steps. Round answers to at least 4 decimal places.A random sample of 500 observations yields x̅ =400 and s=50. What is the 95% confidence interval for the population mean?
- The scores of students on a standardized test form a normal distribution with a mean of 300 and a standard deviation of 40. Using the fact that the middle 50% of the data falls within .67 standard deviations from the mean, find the lower and upper quartile scores for this test.Construct a 90% confidence interval for the population mean, μ . Assume the population has a normal distribution. A sample of 15 randomly selected students has a grade point average of 2.81 with a standard deviation of 0.63 .Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation 19.3. Find the first quartile Q1,which is the IQ score separating the bottom 25% from the top 75%. The first quartile is?
- Paramesan cheese is aged for an average of 24 months to allow it to develop the desire richness in flavor the standard deviation for the length of time Parmesan cheese is aged is 3.7 months How long would Parmesan cheese have to be aged in order to be in the 90th percentile? Assume that the data is normally distributedUse technology to construct the confidence intervals for the population variance o and the population standard deviation o. Assume the sample is taken from a normally distributed population. c= 0.90, s = 5.76, n = 26 The confidence interval for the population variance is ( ). (Round to two decimal places as needed.) The confidence interval for the population standard deviation is ( ). (Round to two decimal places as needed.)Calculate the 95% confidence interval of the population mean, assume that the population standard deviation is known (σ = 5.80).
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