Which of the subsequent describes the type of the standard chance distribution?|Statistics

1. Which of the subsequent that explains the type of the standard chance distribution?

Positively skewed

Symmetrical

On a regular basis lowering

Negatively skewed

2.

2. Apply the normalcdf attribute on the calculator to hunt out the specified area beneath the same old common distribution curve. Spherical your options to four decimal areas (to the closest ten-thousandth).

To the left of z = 1.10

three. take a look at the chance beneath for the standard distribution with indicate μ = 12.5 and customary deviation σ = 1.6. Give your reply as a p.c rounded to the closest hundredth (two decimal areas).

P(13.eight < X < 14.6)

4. The widespread lifetime of a mannequin of automotive tires is 30,000 miles, with an extraordinary deviation of two,000 miles. If a tire is chosen and examined, uncover the chance that it will have a lifetime between 25,000 and 32,000 miles. Assume the variable is usually distributed. Give your reply as a p.c rounded to 2 decimal areas (to the closest hundredth).

5. The widespread time it takes college freshmen to complete the Mason Basic Reasoning Test is 24.6 minutes. The standard deviation is 5.eight minutes.

Uncover the chance that the everyday completion time for a sample of 26 school college students might be better than 22 minutes. Give your reply as a p.c rounded to 2 decimal areas (to the closest ten-hundredth).

6.

A random sample of n = 47 purchasers at a fast-food restaurant had a indicate bill of xÌ… = $12.17. If the inhabitants customary deviation is σ = $1.92, uncover the 94% confidence interval (along with objects) of the indicate bill for all purchasers. Assume the variable is usually distributed and state the distribution used to hunt out the interval.

Distribution used:

Confidence interval:

7. The widespread age of a sample of n = 73 mayors was xÌ… = 46.9 years with an extraordinary deviation of s = three.1 years. Assuming the ages are often distributed, uncover the 95% confidence interval (along with objects) of the indicate age of all mayors. State the distribution used.

Distribution used:

Confidence interval:

eight. In a positive useful care center, a random sample of n = 31 weeks was chosen. It was found imply of xÌ… = 399 victims had been dealt with per week with an extraordinary deviation of s = 22.7. Assume the variable is usually distributed and uncover the 97% confidence interval (along with objects) of the inhabitants indicate. State the distribution used.

Distribution used:

Confidence interval:

9. The recorded extreme temperatures (in ranges Fahrenheit) in June for a sample of 17 US cities are listed beneath. Assuming the temperatures are often distributed, uncover the 92% confidence interval (along with objects) of the inhabitants indicate. Give the distribution used and the indicate and customary deviation of the sample rounded to the closest hundredth (two decimal areas). Give all digits equipped by the calculator for the boldness interval.

95 73 84 80 88 84 76 102 67

98 103 89 104 98 86 91 92

Distribution used:

xÌ… ≈

s ≈

Confidence interval:

10. The GPAs for a sample of n = 6 freshmen at a positive college are listed beneath. Assuming the GPAs are often distributed and that σ = zero.43, uncover the 98% confidence interval of the true indicate of the freshman class (no objects are wished). Give the distribution used and the indicate of the sample rounded to the closest hundredth (two decimal areas). Give all digits equipped by the calculator for the boldness interval.

1.93 2.85 2.58 three.12 2.07 2.19

Distribution used:

xÌ… ≈

Confidence interval:

11. A consumer advocate group claims that amongst individuals who smoke the everyday number of cigarettes smoked per day is larger than 20.

Select the proper comparability picture which will go inside the area beneath to complete the declare made inside the assertion.

Declare: μ â˜ 20

Question 1 decisions:

<

<

>

=

>

≠

12. Speak concerning the null hypothesis H0 and the selection hypothesis H1 for the case analysis beneath.

In 1990, the everyday age at which girls in america married for the first time was 23. A sociologist believes that the everyday age has elevated and conducts a statistical examine to check this declare.

Question 2 decisions:

H0: μ > 23

H1: μ < 23

H0: μ = 23

H1: μ ≠ 23

H0: μ > 23

H1: μ < 23

H0: μ < 23

H1: μ > 23

13. Full steps 2 by the use of 5 of the hypotheses examine for the case analysis beneath. The hypotheses for step 1 are equipped. Give the price of p rounded to the closest ten-thousandth (to four decimal areas). You might type H0 as Ho. A consumer advocacy group asserts that on widespread Folks pay better than $123 month-to-month on television subscription corporations. A sample of n = 60 Folks paid a imply of xÌ… = $127.14 for his or her cable or satellite tv for pc television for laptop service. If the same old deviation for the inhabitants is σ = $18.24, examine the group’s declare at α = zero.10.

1. H0: μ < 123

H1: μ > 123 (declare)

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.3percent2C%20HypTestSteps.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

14. Full steps 2 by the use of 5 of the hypotheses examine for the case analysis beneath. The hypotheses for step 1 are equipped. Give the price of p rounded to the closest ten-thousandth (to four decimal areas). You might type H0 as Ho. Mark Zuckerberg claims that the everyday number of friends on Fb is a least 130 per client. The widespread number of Fb friends for a sample of n = 38 clients is xÌ… = 142. If the same old deviation for all Fb clients is σ = 38.2, examine the declare at α = zero.10.

1. H0: μ > 130 (declare)

H1: μ < 130

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.3percent2C%20HypTestSteps.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

15. The information beneath provides the number of pages, x, and the value, y, for a sample of six textbooks. Discover that the data given on this draw back simply is not basically the an identical as inside the completely different points. Which of the subsequent graphs reveals the scatter plot and regression line for the data?

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20data%20set%203.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

Question 1 decisions:

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20scatter%20plot%203.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20scatter%20plot%205.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20scatter%20plot%201.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20scatter%20plot%204.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20scatter%20plot%202.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

16. The information beneath provides the number of pages, x, and the value, y, for a sample of six textbooks. Discover that the data given on this draw back simply is not basically the an identical as inside the completely different points. Uncover the equation of the regression line, y = a + bx, and correlation coefficient r for the data. Spherical all values to the closest thousandth (to three decimal areas).

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20data%20set%203.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

17. The information beneath provides the number of pages, x, and the value, y, for a sample of six textbooks. Discover that the data given on this draw back simply is not basically the an identical as inside the completely different points.

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20data%20set%201.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

Full steps 2 by the use of 4 of the hypotheses examine for the correlation coefficient. The hypotheses for step 1 are equipped. Give the price of p rounded to the closest ten-thousandth (to four decimal areas).

1. H0: ρ = zero (not linear)

H1: ρ ≠ zero (linear)

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20linreg%20steps.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

18. The information beneath provides prices (in per pound) of six chosen greens in Alaska, x, and the prices of the an identical greens in Georgia, y.

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20data%20set%2010.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

Full steps 2 by the use of 4 of the hypotheses examine for the correlation coefficient. The hypotheses for step 1 are equipped. Give the price of p rounded to the closest ten-thousandth (to four decimal areas).

1. H0: ρ = zero (not linear)

H1: ρ ≠ zero (linear)

https://albanystate.view.usg.edu/content material materials/enforced/1573724-CO.220.MATH2411.52498.20191/Homework/HW%205.4percent2C%20linreg%20steps.JPG?_&d2lSessionVal=DrRKEZqeRqxsxXnuOUoRz1GSr

19. The extreme temperature (in ranges Fahrenheit), x, and the ice cream product sales (in ) for an space retailer, y, are related by the regression line equation y = -365.469 + eight.637x.

Uncover the amount of product sales predicted by the model if the extreme temperature is x = 84°F. Give your reply as a monetary amount rounded to the closest cent.