Consider the sample data 2, 4, and 6 with population standard deviation of 1.633. Compute the following using the formulas in Central Limit Theorem. N=3 n=2
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- The ages of a group of 149 randomly selected adult females have a standard deviation of 16.5 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let σ=16.5 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statisticsstudents? Assume that we want 90% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? Question content area bottom Part 1 The required sample size is enter your response here.You take an SRS of size 64 from a population with mean 82 and standard deviation of 24. According to the Central Limit Theorem, what is the approximate sampling distribution of the sample mean? Use the 95 parts of the 68-95-99.7 rule to describe the variability of Xbar.D A small amount of the trace element selenium, 50-200 micrograms (ug) per day, is considered essential to good health. Suppose that random samples of 50 adults were selected from two regions of the United States and that each person's daily selenium intake was recorded. The means and standard deviations of the selenium daily intakes for the two groups are shown in the table. Sample Mean (ug) Sample Standard Deviation (ug) Find a 95% confidence interval for the difference (₁-₂) in the mean selenium intakes for the two regions. (Round your answers to three decimal places.) 49 Region Phase One-Tw_docx 1 167.4 22.8 ug to Interpret this interval, O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is exactly in the middle of the Interval is 95%. A 2 140.5 17.3 O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is within the interval is 95%. We are 95%…
- The ages of a group of 156 randomly selected adult females have a standard deviation of 17.4 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let σ=17.4 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 98% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?The ages of a group of 132 randomly selected adult females have a standard deviation of 16.1 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let σ=16.1 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?The required sample size isA large corporation employs 21780 individuals. The average income of all employees is $80877, with a standard deviation of $16560 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 180 randomly selected employees. - The population mean is u == • The population standard deviation is o = • The sample size is n = • Since the sample size is relatively large, the Central Limit Theorem tells us that the sample averages should have a sampling distribution that is (O skewed to the rightO approximately normal). The sampling distribution of the sample means is centered at the (O populationO sample) mean. • The sampling distribution has a standard deviation of SD = Round to two decimal places. Submit Question
- 不 The ages of a group of 126 randomly selected adult females have a standard deviation of 17.2 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let a = 17.2 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 99% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? G The required sample size is. (Round up to the nearest whole number as needed.) Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? OA. Yes, because statistics students are typically younger than people in the general population. OB. Yes, because…不 The ages of a group of 126 randomly selected adult females have a standard deviation of 17.2 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let a = 17.2 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 99% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? G The required sample size is. (Round up to the nearest whole number as needed.) Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? OA. Yes, because statistics students are typically younger than people in the general population. OB. Yes, because…The ages of a group of 159 randomly selected adult females have a standard deviation of 17.1 years. Assume that the ages of female statistics students have less variation than ages of females in the general population,so let sigma equals17.1 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 98 % confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?
- Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are the statistics representative of the population of all cans of the same 14 brands consumed? 58 45 53 34 54 58 60 37 43 37 44 --..- The range of the sample data is (Round to one decimal place as neec (mg per 12oz of drink)?. brands. mg per 12oz of drink. brands?.Suppose that a distribution of 300 items has mean 120 and standard deviation 4. Find the z-score of the item x = 126. Z= (Type an integer or decimal rounded to the nearest tenth as needed.)