a.What does each line segment represent? b.Why is there a dot in the middle of each line segment? What does it represent? c..All of the confidence intervals are the same length. Why does this make sense?
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a.What does each line segment represent?
b.Why is there a dot in the middle of each line segment? What does it represent?
c..All of the confidence intervals are the same length. Why does this make sense?
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- A fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 212 members were looked at and their mean number of visits per week was 3.3 and the standard deviation was 1.9. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a z/t? ___distribution. b. With 90% confidence the population mean number of visits per week is between ___ and ___ visits. c. If many groups of 212 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week.Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.50 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) ______ male firefightersTotal plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. d)Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) =__ male firefighters What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that ? is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that…
- a sample size n=99 is drawn from a population whose standard deaviation is 11 (a) find the margin of error for a confidence interval for u (population mean). round the answer to at least three decimal places the margin of error for a 90% confidence for u (population mean) isA teacher gives a third grade class of n = 16 a reading skills test at the beginning of the school year. To evaluate the changes that occur during the year, students are tested again at the end of the year. Their test scores revealed an average improvement of MD = 4.7 points with SS = 2160. Construct a 99% confidence interval to estimate the average improvement for the population of third graders. The Lower boundary isThe freshness of produce at a super-store is rated on a scale of 1 to 5 with 5 being very fresh. Froma random sample of 49 customers, the average score was 3.8 with a standard deviation of 0.7. a) Obtain an 80% confidence interval for the population mean - the mean score for thedistribution of all possible customers. Specify and check all conditions needed for theproblem. b) Does the interval obtained in Part(a) contain the population mean score for the customers?Why? c) Does the interval obtained in Part(a) contain the sample mean score for the customers in thedata? Why? d.) In a long series of repeated experiments, with new random samples of 49 customers eachday, what proportion of the resulting confidence intervals will contain the true populationmean? Explain your reasoning.
- A simple random sample of size n is drawn. The sample mean, x overbarx, is found to be 18.718.7, and the sample standard deviation, s, is found to be 4.44.4. LOADING... Click the icon to view the table of areas under the t-distribution. (a) Construct a 9595% confidence interval about muμ if the sample size, n, is 3434. Lower bound: 17.1617.16; Upper bound: 20.2420.24 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 9595% confidence interval about muμ if the sample size, n, is 6161. Lower bound: 17.5717.57; Upper bound: 19.8319.83 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E?A psychiatrist is interested in finding a 95% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 12 randomly selected children with Tourette syndrome. Round answers to 3 decimal places where possible. 0112239572225 a. To compute the confidence interval use a distribution.b. With 95% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between and . c. If many groups of 12 randomly selected children with Tourette syndrome are observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of tics per hour and about percent will not contain the true population mean number of tics per hour.A researcher is interested in finding a 90% confidence interval for the mean number of times per day that college students text. The study included 120 students who averaged 34.6 texts per day. The standard deviation was 13.2 texts. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a ? distribution. b. With 90% confidence the population mean number of texts per day is between __ and __ texts. c. If many groups of 120 randomly selected members are studied, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population number of texts per day and about ___ percent will not contain the true population mean number of texts per day.
- A melting point test of n = 10 samples of a binder used in manufacturing a rocket propellant resulted in a sample mean of 154.3 °F. Assume that the melting point is normally distributed with σ = 1.5°F. Find a lower value in a 95% confidence interval for the melting point? Please report your answer in 3 decimal places.Show work and curves. Round to 2 decimal places A sample of 40 bags of potato chips has a mean weight of 2.17 ounces. If the population standard deviation is 1.2 ounces, find a 98% confidence interval for the population mean weight.The amount of a certain chemical in particles in the atmosphere at a meteorological station was measured each day for 300 days. The results are shown in table below. Amount of chemical (mg) 12 13 14 15 16 Number of days 5 42 210 31 12 a. Calculate, to 2 decimal places, the mean daily amount of chemical over the 300 days and its standard error. (4m) b. Find the 99% confidence interval of the mean daily amount of chemical in the atmosphe