Question

In: Statistics and Probability

Given the sample data. x: 21 17 13 30 25 (a) Find the range. (b) Verify...

Given the sample data.

(a) Find the range.

(b) Verify that Σx = 106 and Σx² = 2,424.

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 to two decimal places.)

s²	=
s	=

(e) Suppose the given data comprise the entire population of all x values. Compute the population variance σ² and population standard deviation σ. (Round your answers to two decimal places.)

σ²	=
σ	=

Consider the data set.

2, 3, 4, 7, 8

(a) Find the range.

(b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.)

(c) Use the defining formula to compute the population standard deviation σ. (Round your answer to two decimal places.)

Solutions

Expert Solution

Solution:

Given the sample data.

(a) Find the range.

(b) Verify that Σx = 106 and Σx² = 2,424.

(c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s² and sample standard deviation s.

(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 the given data comprise the entire population of all x values. Compute the population variance σ² and population standard deviation σ. (Round your answers to two decimal places.)

Answer:

Consider the data set.

2, 3, 4, 7, 8

(a) Find the range.

(b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.)

(c) Use the defining formula to compute the population standard deviation σ. (Round your answer to two decimal places.)

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Given the sample data. x: 21, 17, 15, 30, 27 (a) Find the range. (Enter an...

Given the sample data. x: 21, 17, 15, 30, 27 (a) Find the range. (Enter an exact number.) (b) Verify that Σx = 110 and Σx2 = 2,584. (For each answer, enter an exact number.) Σx = Σx2 = (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.) s2 = s = (d) Use...

Given the sample data. x: 21 19 15 30 27 (a) Find the range. Range =...

Given the sample data. x: 21 19 15 30 27 (a) Find the range. Range = 15 (b) Verify that Σx = 112 and Σx2 = 2,656. 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....

Given the sample data. x: 21, 19, 13, 32, 27 (a) Find the range. (Enter an...

Given the sample data. x: 21, 19, 13, 32, 27 (a) Find the range. (Enter an exact number.) (b) Verify that Σx = 112 and Σx2 = 2,724. (For each answer, enter an exact number.) Σx = (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.) s2 = s = (d) Use the defining...

Given the sample data. x: 20 26 19 15 29 (a) Find the range. (b) Verify...

Given the sample data. x: 20 26 19 15 29 (a) Find the range. (b) Verify that Σx = 109 and Σx2 = 2503. Σx Σx2 (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (Enter your answers to one decimal place.) s2 s (d) Use the defining formulas to compute the sample variance s2 and sample standard deviation s. (Enter your answers to one decimal place.)...

Given the sample data. x: Given the sample data. x: 23, 17,15,32,25 (a) Find the range....

Given the sample data. x: Given the sample data. x: 23, 17,15,32,25 (a) Find the range. (Enter an exact number.) (b) Verify that Σx = 112 and Σx2 = 2,692. (For each answer, enter an exact number.) Σx = Σx2 = (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.) s2 = s = ...

Consider the following sample. 17, 7, 25, 20, 10, 18 (a) Find the range. (b) Find...

Consider the following sample. 17, 7, 25, 20, 10, 18 (a) Find the range. (b) Find the variance. (Give your answer correct to two decimal places.) (c) Find the standard deviation. (Give your answer correct to two decimal places.)

Consider a sample with data values of 26, 25, 22, 17, 30, 36, 28, and 25....

Consider a sample with data values of 26, 25, 22, 17, 30, 36, 28, and 25. Compute the 20th, 25th, 65th, and 75th percentiles (to 1 decimal, if decimals are necessary). 20th percentile 25th percentile 65th percentile 75th percentile

Find the range, variance, and standard deviation for the given sample data, if possible. If the...

Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1=smooth-yellow, 2=smooth-green, 3=wrinkled yellow, and 4=wrinkled-green. 2 1 3 2 3 1 4 3 2 2 2 3 2 2 2 2 1 2...

A B C 13 7 9 29 19 54 25 54 5 17 15 11 21...

A B C 13 7 9 29 19 54 25 54 5 17 15 11 21 22 20 a) Construct ANOVA table and test the null hypothesis: μA = μB = μC b) Assume that you have statistically enough evidence to reject the null hypothesis; suggest an approach to find out whether all three means are different than each other or only one of them is different than others (while the other two means are equal) and if the second...

Find the 5 number summary for the data shown 11 17 20 21 25 29 34...

Find the 5 number summary for the data shown 11 17 20 21 25 29 34 39 47 58 74 75 77 82 5 number summary(from least to greatest): From the table below, give the percentile of a value of 48 (rounded to the nearest whole percentile) 83 48 28 111 68 105 48 represents the -th percentile

Subjects