Use The t Distribution Table to find the t/α2 value for a 95% confidence interval for the mean when the sample size is 10 . =t/α2
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Use The t Distribution Table to find the
value for a
confidence interval for the mean when the
.
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=t/α2
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- The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines that for the sample, the mean score is112with a standard deviation of 12.If we assume that the scores that the student athletes obtained follow an approximately normal distribution, is there enough evidence to conclude, at the significance level of0.05, which standard deviation is higher among student athletes? Perform a two-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: p = 16 0 (b) (c) (d) h :p # 16 1 Determine which type of test statistic to use. chi-square Z you chi-square Degrees of…A researcher collected sample data for 10 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 189.6, with a standard deviation of 9. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 95% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit: XA cell phone manufacturer has hired you to estimate the population mean of the battery lifetimes for all phones of their latest model. You decide to measure battery lifetime by recording the time it takes for the battery charge to run out while a tester is streaming videos on the phones continuously. Then you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume that the population standard deviation of the battery lifetimes for that cell phone model (using your method of measurement) is 2.42 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Take Sample Sample size: Number of phones Point estimate: 45 Sample mean Standard…
- The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines that for the sample, the mean score is112with a standard deviation of12.If we assume that the scores that the student athletes obtained follow an approximately normal distribution, is there enough evidence to conclude, at the level of significance of 0.05, which standard deviation is higher among student athletes? Perform a two-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: 0 0 (b) (c) (d) h ! 1 0 Determine which type of test statistic to use. (Choose an option) Find the value of the test…A simple random sample from a population with a normal distribution of 104 body temperatures has x=98.80°F and s=0.67°F. Construct an 80% confidence interval estimate of the standard deviation of body temperature of all healthy humans.How large of a sample is required for a to construct a 99% confidence interval around a mean with an error of less than 1.5. Assume the standard deviation is 42.
- The 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.The time it takes students to finish the Statistics Exam is known to be normally distributed with a standard deviation of σ=25 minutes. An instructor wants to estimate the mean exam time with an 80% confidence interval. What size sample should she use to estimate the mean exam time to within 5 minutes?A researcher collected sample data for 19 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 192.4, with a standard deviation of 8.2. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 90% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
- X1=45 N1=35 S1=9 X2=47 N2=40 S2=8 Find the confidence interval of 80% ?The mean test score for a simple random sample of n=100 students was =80. The population standard deviation of test scores is σ=15. Construct a 95% confidence interval for the population mean test score μ.A researcher collected sample data for 10middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 192.5, with a standard deviation of 9. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 95% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower Limit___ Upper Limit___
