Question

In: Statistics and Probability

For a data set obtained from a sample, n = 79 and x = 45.30 ....

For a data set obtained from a sample, n = 79 and x = 45.30 . It is known that o = 4.1.

a. What is the point estimate of u?

The point estimate is ????????.

b. Make a 90% confidence interval for u .

Round your answers to two decimal places.

(???????, ??????)

c. What is the margin of error of estimate for part b?

Round your answer to three decimal places.

E =???????

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = 45.30

Population standard deviation = = 4.1

Sample size = n =79

(a) Point estimate =45.30

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.1

/ 2 = 0.1 / 2 = 0.05

Z_/2 = Z_0.05 = 1.645 ( Using z table )

Margin of error = E = Z/2 * ( / $\sqrt$ n)

= 1.645 * ( 4.1 / $\sqrt$ 79 )

E= 0.7588
(b)At 90% confidence interval estimate of the population mean
is,

- E < < + E

45.30- 0.7588 < < 45.30+ 0.7588

44.5412 < < 46.0588

(44.54 , 46.06 )

(c)Margin of error = E = 0.759

orchestra answered 1 year ago

For a data set obtained from a sample, n=79 and x¯=46.55. It is known that σ=3.8....

For a data set obtained from a sample, n=79 and x¯=46.55. It is known that σ=3.8. a. What is the point estimate of μ? The point estimate is___ . b. Make a 95% confidence interval for μ. Round your answers to two decimal places. (_____,______) c. What is the margin of error of estimate for part b? Round your answer to three decimal places. E=___

For a data set obtained from a sample, n= 75 and x bar= 46.55. It is...

For a data set obtained from a sample, n= 75 and x bar= 46.55. It is know that ?= 4.3. a) What is the point estimate of ?? b) Make a 90% confidence interval for ?. Round answers to two decimal places. (_________,_________) c) What is the margin of error of estimate for part b? Round answers to three decimal places. E=__________ Please show work for a,b,c.

For a data set obtained from a sample, n=77 and x⎯⎯=46.30. It is known that σ=3.8....

For a data set obtained from a sample, n=77 and x⎯⎯=46.30. It is known that σ=3.8. a. What is the point estimate of μμ? b. Make a 95% confidence interval for μ. Round your answers to two decimal places. c. What is the margin of error of estimate for part b? Round your answer to three decimal places.

For a data set obtained from a sample, n=75 and x¯=47.80. It is known that σ=3.8....

For a data set obtained from a sample, n=75 and x¯=47.80. It is known that σ=3.8. a. What is the point estimate of μ? The point estimate is . b. Make a 90% confidence interval for μ. Round your answers to two decimal places. (,) c. What is the margin of error of estimate for part b? Round your answer to three decimal places. E=

The following is a set of data from a sample of n = 11 items: X...

The following is a set of data from a sample of n = 11 items: X 8 6 9 4 7 11 13 5 10 16 19 Y 22 15 25 10 19 31 37 13 27 45 54 a. Calculate the covariance. b. Calculate the coefficient of correlation. c. Describe the relation between the two variables X and Y.

Below is a set of data from a sample of n = 11: X 3 6...

Below is a set of data from a sample of n = 11: X 3 6 10 12 4 9 15 18 7 5 8 Y 9 18 30 36 12 27 45 54 21 15 24 Answer the following questions: (a) Calculate the covariance. (b) Calculate the coefficient of correlation. (c) What conclusions can you reach about the relationship between X and Y? Explain.

1. The following set of data is from a sample of n = 8 171...

1. The following set of data is from a sample of n = 8 171 169 158 164 158 135 150 141 a) Find the mean, median, and mode. b) Calculate the variance, standard deviation, range, inter-quartile range, and coefficient of variation. c) Describe the shape of the data. d) List the five-number summary and build a boxplot.

To evaluate the effect of a treatment, a sample of n = 6 is obtained from...

To evaluate the effect of a treatment, a sample of n = 6 is obtained from a population with a mean of μ = 80 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 72. a. If the sample variance is s2 = 54, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α =0.05? b. If the...

The following set of data is from a sample of n= 7: 12 7 4 9...

The following set of data is from a sample of n= 7: 12 7 4 9 0 7 20 A) compute the mean, median, and mode. B) compute the range, variance, standard deviation, and coefficient of variation C) compute the Z score of 0 and 20. Are there any outliers? D) compute the first quartile, the third quartile, and the interquartile range

The following is a set of data from a sample of n=5. 6 7 5 2...

The following is a set of data from a sample of n=5. 6 7 5 2 1 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set.