A random sample of size 100 is taken from a normal distribution population with sigmma=4.3. give that the sample mean is x bar =19.8 construct a 95%confidence interval for the position mean mu.( Round to two decimals)
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A: 1. Consider that μ defines the population mean consumption of alcohols.
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- Suppose the retirement age in the U.S. is normally distributed with an unknown population mean and standard deviation. A random sample of 22 retirees is taken and results in a sample mean of 59 years old and sample standard deviation of 5 years.The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 2.22. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal placesThe ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.At the alpha = 0.01 level , what is the correct conclusion for this test? The daily temperatures in fall and winter months in Virginia have a mean of 62F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59 degrees * F with a standard deviation of 6.21 degrees * F The meteorologist conducts a one -sample t-test for and calculates a P value of 0.007. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist…
- Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 4 inches. The heights of 6 randomly selected students are 69, 62, 68, 64, 61 and 68. x¯ = Margin of error at 99% confidence level = 99% confidence interval = [ , ]A random of 15 freshmen takers obtained a mean score of 74 and a variance of 9 on a SASE. Assuming the scores to be normally distributed, construct a 95% confidence interval to estimate the variance of scores of the whole freshmen population.The newest model of a car battery from a popular brand is supposed to have a lifetime of 60 months, but the lifetime varies slightly from battery to battery. It is known that the population of all lifetimes (in months) of this model of car battery is approximately normally distributed. You are a product reviewer who wants to estimate the standard deviation for this population with a random sample of 22 car batteries. Follow the steps below to construct a 99% confidence interval for the population standard deviation of all lifetimes of this model of car battery. (If necessary, consult a list of formulas.) (a)Click on "Take Sample" to see the results from the random sample. Take Sample Number of carbatteries Sample mean Sample standard deviation Sample variance 22 57.16 0.38 0.1444 To find the confidence interval for the population standard deviation, first find the confidence interval for the population variance. Enter…
- The total of individual weights of garbage discarded by 17 households in one week is normally distributed with a mean of 32.9 lbs with a sample standard deviation of 9.7 lbs. Find the 99% confidence interval of the mean.The newest model of a car battery from a popular brand is supposed to have a lifetime of 60 months, but the lifetime varies slightly from battery to battery. It is known that the population of all lifetimes (in months) of this model of car battery is approximately normally distributed. You are a product reviewer who wants to estimate the standard deviation for this population with a random sample of 22 car batteries. Follow the steps below to construct a 99% confidence interval for the population standard deviation of all lifetimes of this model of car battery. (If necessary, consult a list of formulas.) (a)Click on "Take Sample" to see the results from the random sample. Take Sample Number of carbatteries Sample mean Sample standard deviation Sample variance To find the confidence interval for the population standard deviation, first find the confidence interval for the population variance. Enter the values…I need help with stats/2023, section 7.2 and 7.3, please help with TI-84 commands A car company says that the mean gas mileage for its luxury sedan is at least 22 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 21 mpg and a standard deviation of 5mpg. At α=0.10, test the company's claim. Assume the population is normally distributed. Which sampling distribution should be used and why? A. Use a normal sampling distribution because the population is normal, and σ is known. B. Use a normal sampling distribution because the population is normal, and σ is unknown. C. Use a t-sampling distribution because the population is normal, and σ is unknown. D. Use a t-sampling distribution because n<30. E. Use a t-sampling distribution because the population is normal, and σ is known F. Use a normal sampling distribution because n>30. Write out the appropriate hypotheses…
