6. pa From an arbitrary distribution we selected 30 samples randomly. The sample mean was 780 with standard deviation 40, find the confidence level for the mean u satisfying the confidence interval for it is between 765 and 795.
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- A teacher gives a test to his class of 25 students. Since he wants to quickly obtain an estimate of the mean score on the exam he takes a random sample of 12 exams and determines that the average score is 82 with a standard deviation of 10. Construct a 95% confidence interval on the mean scores from this exam. Provide your formula used along with your result. Explain implications of what you have done. Interpret the final confidence interval you have obtained.100 samples were obtained from a normal population with means = 50 and variance = 4. For each sample complete the data in the table, construct the respective interval of confidence and identify if the value of the population mean is contained in said interval. (image) The table is much longer, but you don't have to do it all. With the procedure or code of some examples it is enough to guide me with the whole table. My biggest doubt is how to find the lower and upper intervals, because I have formulated the problem several times but they give me different results. Should a t-distribution or a normal distribution be used? What formula? the entire table contains 100 samplesQ1. A survey of 345 men showed that the mean time spent on daily grocery shopping is 15 mins. From previous record we knew that o = 3 mins. Find the 98% confidence interval for population mean. Q2. A poll of 140 students shows that the mean time spent weekly on cloths laundry is 150 mins. We don't have previous record on population standard deviation, and so from the sample we computed sample standard deviation and found that s = 10 mins. Find the 95% confidence interval for the population mean.
- A simple random sample of 60 items resulted in a sample mean of 71. The population standard deviation is 13. a. Compute the 95% confidence interval for the population mean (to 1 decimal). Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals).The scores in a test conducted to 500 students are normally distributed with a mean of 110 and a standard deviation of 6. How may students get a score below 102?I'm a bit confused about how to solve this (any help is appreciated)
- Sam computed a 95% confidence interval for mean from a specific random sample. His confidence interval was 10.1< mean< 12.2. He caims that the probability that mean is in this interval 0.95. What os wrong with his claim?Do the mean weights of male college freshmen and male college seniors differ? There are arguments for and against this question. The mean weight, μx of college freshmen will be compared to the mean weight, My of college seniors. The true values of Mx and My are unknown. It is recognized that the true standard deviations are x = 13 for male college freshmen and dy = 24 for male college seniors. We take a random sample of m = 431 college freshmen and a random sample of n=289 college seniors. The mean weights were x = 178 for male college freshmen and y = 185 for male college seniors. Assuming independence between the samples and assuming the weights are normally distributed we would like to estimate My - My. a) What is the standard deviation of the distribution of x?[ b) What is the standard deviation of the distribution of x-y? c) Create a 95% confidence interval for Mx - Hy? d) What is the length of the confidence interval in part c) ? e) If we let n stay at 289 but vary m, what is the…Find the lower limit of 95% confidence interval. An SRS of 36 students were taken from high schools in a particular state. The average test score of the sampled students was 60 with a standard deviation of 13.26. Give the lower limit of the interval approximation.
- Prof. Gersch knows that the score on a standardized test is perfectly normal with unknown mean and a standard deviation of 50. He then takes a random sample of 25 tests and finds that the average of these is 200. How many exams should he sample so that the maximum margin of errorfor his 95% confidence interval is 10?: a. 98 b. 97 c. 100 d. 96 e. 10A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u = 88 with standard deviation o = 10. One year, the teacher taught a %3D much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class was more effective and students performed better. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was = 78. The hypothesis should be: a. Ho: H = 78 vs. Ha: H = 88. %3D O b. Ho: µ = 88 vs. Ha: µ 78 %3D Ο d. Ho: μ-88 νs. Ha: μ >88. %3DThe president of a large university wishes to compare the standard deviation of the ages of students presently enrolled to previous years. The distribution of ages has been approximately normal. Find the 90% confidence interval for the population standard deviation of the student ages of the University. A random sample of 20 university students has a standard deviation of 6.1 years in a mean of 23.8 years what is the confidence interval of the population standard deviation?