Question

In: Math

The average number of acres burned by fires in New Mexico County is assumed to be...

The average number of acres burned by fires in New Mexico County is assumed to be normally distributed with a mean of 9000 and a standard deviation of 695 acres. You are told that the probability of the number of acres burned between 9350-R and 9350+R is .7802. Find R. (Hint: Draw a picture to see the area along with the given probability. Can Goal-Seek or trial and error help you find the value of R?)

How would I solve for R using goal seek in excel

Solutions

Expert Solution

Set the excel formula like this:

1.

2.

3.

4.

Hence R = 959.836806962631

Please upvote. Let me know in the comments if anything is unclear. I will reply ASAP!


Related Solutions

The average number of acres burned by forest and range fires in a large New Mexico...
The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal. [4 decimal places] What is the probability that between 2,500 and 4,200 acres will be burned in any given year? * 2 points Your answer What is the probability that less than 4000 acres were burned? * 2 points Your answer...
An environmentalist wants to determine the relationship between the number of fires, in thousands, and the number of acres burned, in hundreds of thousands.
  An environmentalist wants to determine the relationship between the number of fires, in thousands, and the number of acres burned, in hundreds of thousands. Based on this data, decide if the correlation is significant at alpha = 0.05. Number of fires x 73 74 58 48 80 65 54 49 Number of acres burned y 64 46 22 23 51 12 29 10 1. Draw a scatter plot of the data. 2. Showing all work calculate r. 3. Showing...
listed below are the numbers of forest fires (in thousands) and the acres that were burned...
listed below are the numbers of forest fires (in thousands) and the acres that were burned (in hundred thousands) during a year. x 70 65 58 48 83 65 56 42 y 28 41 22 27 53 19 30 18 find the value of the linear correlation coefficient r and use a significance level of a=0.05 to determine whether there is a significant linear correlation between the two variables. Find the best predicted value (including units) for the number of...
Listed below are the numbers of forest fires (in thousands) and the acres that were burned...
Listed below are the numbers of forest fires (in thousands) and the acres that were burned (in hundred thousands) during a year. Fires, x 72 69 58 47 84 62 57 45 Acres, y 62 41 19 26 51 15 30 15 a) Find the value of the linear correlation coefficient r and use a significance level of α = 0.05 to determine whether there is a significant linear correlation between the two variables. b) Find the best predicted value...
The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation...
The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size of 10 farms in Greene County, Pennsylvania, is 199 acres with standard deviation of 12 acres. Can it be concluded that average size of the farms in Indiana County and the average size of the farms in Greene County are different? Use 95% confidence interval to compare
Park Acreage A state executive claims that the average number of acres in western Pennsylvania state...
Park Acreage A state executive claims that the average number of acres in western Pennsylvania state parks is less than 2000 acres. A random sample of 12 parks is selected, and the number of acres is shown. 2075 2065 2174 1934 2265 1936 2277 1968 2183 2029 1976 2151 a. At = 0.01, is there enough evidence to support the claim? Use the P-value method b. Find the 99% confidence interval of the true mean.
If Indiana County, Pennsylvania, coal with M = 3% and A = 8.5% is burned with...
If Indiana County, Pennsylvania, coal with M = 3% and A = 8.5% is burned with 10% excess air, calculate the actual air fuel ratio and the ideal Orsat analysis (no CO and no unburned carbon). Also, determine the theoretical Orsat analysis if the HHV of the refuse is 5500 kJ/kg and the % CO in the dry flue gas is 0.2% of the dry flue gas.
Suppose the average size of a new house built in a certain county in 2014 was...
Suppose the average size of a new house built in a certain county in 2014 was 2,275 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,189​, with a sample standard deviation of 227 square feet. Complete parts a and b. a. Using α=0.02​, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since​...
Suppose the average size of a new house built in a certain county in 2006 was...
Suppose the average size of a new house built in a certain county in 2006 was 2,273 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,185 with a sample standard deviation of 229 square feet. a. Using α equals=0.10 does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since​ 2006? b. Use technology...
Suppose the average size of a new house built in a certain county in 2014 was...
Suppose the average size of a new house built in a certain county in 2014 was 2,273 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,194​, with a sample standard deviation of 226 square feet. Complete parts a and b. a. Using α =0.02​, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT