3. Four samples are displayed a. ΣΣΧί-1219.29, Σ-58945.1, n-30 b. ΣΣΧί = 35.292,Σ-7748.98, n = 17...
Given the sample data. x: 21 17 15 32 25 (a) Find the range. (b) Verify that Σx = 110 and Σx2 = 2,604. Σx = Σx2 = (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (Round your answers to two decimal places.) s2 = s = (d) Use the defining formulas to compute the sample variance s2 and sample standard deviation s. (Round your answers...
Given the sample data. x: 23 17 13 32 27 (a) Find the range. (b) Verify that Zr = 112 and Zr2 = 2,740. 2x= Zr2- (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (Round your answers to two decimal places.) (d) Use the defining formulas to compute the sample variance s2 and sample standard deviation s. (Round your answers to two decimal places.) (e) Suppose...
1) Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n = 16, μ = 14, σ2 = 9 μ=σ= (b) n = 100, μ = 9, σ2 = 4 μ=σ= (c) n = 10, μ = 118, σ2 = 1 μ=σ= 3) A random sample of size...
Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n = 36, μ = 11, σ2 = 9 μ= σ= (b) n = 100, μ = 4, σ2 = 4 μ= σ= (c) n = 8, μ = 110, σ2 = 1 μ= σ=
To test H0: σ= 2.3 versus H1 : σ> 2.3, a random sample of size n = 18 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). (a) If the sample standard deviation is determined to be s- 2.1, compute the test statistic. z(Round to three decimal places as needed,) TO test H0: ơ-1.4 versus H1 : ơt 1.4, a random sample of size n-21 is obtained from a population that is...
When σ is unknown and the sample is of size n ≥ 30, there are two methods for computing confidence intervals for μ. Method 1: Use the Student's t distribution with d.f. = n − 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n ≥ 30, use the sample standard deviation s as an estimate for σ, and then use the...
Suppose x has a distribution with μ = 32 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 32 and σ x = 17. Yes, the x distribution is normal with mean μ x = 32 and σ x = 1.1. Yes, the x distribution...
The birth weight in the United States has a standard deviation of σ = 575. A random sample of n = 30 birth weights give ¯x = 3189. (a) Find a 90% confidence interval and interpret it. [3] (b) Suppose now σ is unknown but a sample size of n = 15 is taken yielding a sample standard deviation of s = 538. Find the 90% confidence interval for µ again. (c) Suppose σ is unknown again but a sample...
A quality control manager at a manufacturing facility has taken four samples with four observations each of the diameter of a part. Samples of Part Diameter in Inches 1 2 3 4 5.8 5.7 6.2 6.2 5.7 6.1 6.0 5.9 6.3 5.8 6.3 6.2 6.2 5.8 5.9 6.3 (a) Compute the mean of each sample. (Round answers to 3 decimal places, e.g. 15.250.) Mean of sample 1 Mean of sample 2 Mean of sample 3 Mean of sample 4 (b)...
My Notes Ask Your Te You are given n 8 measurements: 5, 3, 6, 6, 6, 6, 4, 7, (a) Calculate the range 4 (b) Calculate the sample mean, X. x5.375 (c) Calculate the sample variance, s2, and standard deviation, s. (Round your variance to four decimal places and your standard deviation to two decimal places.) s211.87 s= 3.44 (d) Compare the range and the standard deviation. The range is approximately how many standard deviations? Round your answer to two...