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Q: Empirical Rule Use the Empirical Rule to find the following probabilities. It is suggested that you… A: We have to find given probability. Q: Basic Computation: Range, Standard Deviation Consider the data set 2 3 4 5… A: 2 3 4 5 6 Q: Quarters When setting specifications of quarters to be accepted in a vending machine, you must… A: The data shows that the confidence level is 99% and the margin of error is 10%. From Table of sample… Q: Empirical Rule Use the Empirical Rule to find the following probabilities. It is suggested that you… A: Emprical rule is given below: Q: laim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random… A: Click to see the answer Q: variable of a population has a mean of μ=100 and a standard deviation of σ=42 a. The sampling… A: Let X=The variable of a populationGiven that X has mean=μ=100 and standard deviation=σ=42n=sample… Q: z Test for a Mean: A test is made of H0: μ = 47 versus H1: μ >47. 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What… A: The mean of the data can be obtained as: Q: Normal Distributions According to the College Board, the probability that a student forgets to bring… A: Click to see the answer Q: Empirical Rule Use the Empirical Rule to find the following probabilities. It is suggested that you… A: (1) Obtain the 95% of the batteries to last between which of the two months.. The 95% of the… Q: Checking an answer A researcher selects a sample of n=100 students from City College. For the sample… A: Here the sample size , n = 100 students The average age is a little bit different from the average… Q: Heights and Gender It is a well-accepted fact that males are taller on the average than females. But… A: To testH0:μ1=μ2H1:μ1>μ2 Q: Question Help▼ ¤ SCO The ages of a group of 155 randomly selected adult females have a standard… A: Click to see the answer Q: 7. Hypothesis Testing with the P-Value Method A researcher claims that the mean sodium content of… A: 7. Let μ1 be the population mean sodium content of sandwiches at Restaurant A, and μB be the… Q: 7. Hypothesis Testing with the P-Value Method A researcher claims that the mean sodium content of… A: we have given that n1=22 , xbar1=670 ,sigma1=20 and n2=28 ,xbar2=690 ,sigma2=30 and alpha=0.05 Q: Exam grades: Scores on a statistics final in a large class were normally distributed with a mean… A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are… Q: Exam grades: Scores on a statistics final in a large class were normally distributed with a mean… A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are… Q: On a planet of Mercury 4 year olds average 3 hours a day unsupervised.Most of the unsupervised… A: It is given that the mean is 3 and the standard deviation is 1.6. Q: fldence interval for the population mean if the population from which the sample is drawn is… A: We have to find sample size... 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If the population standard deviation, sigma is unknown, then the mean has a student's t (t) distribution and the sample standard deviation is used instead of the population standard deviation. . The t here is the t-score obtained from the Student's t table.
What is an interval estimate for an unknown population parameter?Our basic tool for estimating the unknown value of a population parameter is a confidence interval, an interval of values that is likely to include the unknown value of the parameter. In this formula, x ¯ j is the sample mean, is the sample standard deviation and n is the sample size.
When the population standard deviation is unknown and the sample size?If the population standard deviation is unknown and the sample size n is small then when we substitute the sample standard deviation s for σ the normal approximation is no longer valid. The solution is to use a different distribution, called Student's t-distribution with n−1 degrees of freedom.
When the population standard deviation is unknown how can the confidence interval be estimated?For a population with unknown mean and unknown standard deviation, a confidence interval for the population mean, based on a simple random sample (SRS) of size n, is + t* , where t* is the upper (1-C)/2 critical value for the t distribution with n-1 degrees of freedom, t(n-1).
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In developing an interval estimate, if the population standard deviation is unknown
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