You are planning a May camping trip to Denali National Park in Alaska and want to make sure your sleeping bag is warm enough. The average low temperature in the park for May follows a normal distribution with a mean of 32°F and a standard deviation of 8°F.

1.

What is the probability that the low temperature on a given night will be between 22°F and 29°F? Include 4 decimal places in your answer.

2.

What temperature must the sleeping bag be suited such that the temperature will be too cold only 5% of the time?  Include 1 decimal places in your answer.

3.

What is the probability that on a given night the low temperature will be 32°F? Include 4 decimal places in your answer.

A survey found that​ women's heights are normally distributed with mean 63.3 in. and standard deviation 2.3 in. The survey also found that​ men's heights are normally distributed with mean 69.1 in. and standard deviation 3.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57in. and a maximum of 62 in. Complete parts​ (a) and​ (b) below.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park?

The percentage of men who meet the height requirement is ----- ​(Round to two decimal places as​ needed.)

b.If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?

A finance team for Holden Hotel Inc. would like to evaluate a set of capital budgeting projects and wants to come up with the best decision according to the project’s IRR and PI. Net investment and net cash flow estimations for both projects are shown in the data table below:

If the minimum required rate of return is 10.80% for both projects, which one of the projects is a better choice to invest in for Holden Hotel Inc.?

Group of answer choices

a. Either project HHH or project BBB

b. Project HHH

c. Neither one of the projects

d. Project BBB

A survey found that​ women's heights are normally distributed with mean 63.8 in. and standard deviation 3.9 in. The survey also found that​ men's heights are normally distributed with mean 67.7 in. and standard deviation 3.5 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 62 in. Complete parts​ (a) and​ (b) below.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park?

The percentage of men who meet the height requirement is _%

b. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?

The new height requirements are a minimum of _ in. and a maximum of _ in.

The following data is based on information taken from Winter Wind Studies in Rocky Mountain National Park by D. E. Glidden (Rocky Mountain Nature Association). At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below:

Does this information indicate that peak wind gusts are higher in January than in April? Use a .03 significance level. Please use the four step process and round your answers to the nearest fourth decimal place.

Henderson is on a business trip in New Jersey. He drove his car from New York to New Jersey and checks into the Hotel Ritz. The Ritz has a guarded underground parking lot. Henderson gives his keys to the parking attendant, but did not tell him that his wife’s expensive ($15,000) fur coat was in the car. The coat was packed in a box in the trunk of the car. When Henderson went to check out the next day, he realized his car had been stolen. Henderson is very upset and wants to hold the hotel liable for the car and his wife’s $15,000 fur coat.

what will the insurance company do? Will they acknowledge the claim since the car was stolen at no fault to the owner? How will the owner prove that the coat was lost?

1. You are working on a bid to build two city parks a year for the next three years. This project requires the purchase of $185,000 of equipment that will be depreciated using straight-line depreciation to a zero book value over the 3-year project life. The equipment can be sold at the end of the project for $34,000. You will also need $20,000 in net working capital for the duration of the project. The fixed costs will be $18,000 a year and the variable costs will be $168,000 per park. Your required rate of return is 15 percent and your tax rate is 34 percent. What is the minimal amount you should bid per park? (Round your answer to the nearest $100)

show work please I have no idea how to do this

You are working on a bid to build two city parks a year for the next three years. This project requires the purchase of $210,000 of equipment that will be depreciated using straight-line depreciation to a zero book value over the 3-year project life. The equipment can be sold at the end of the project for $34,000. You will also need $21,000 in net working capital for the duration of the project; all net working capital will be recovered at the end of the project. The fixed costs will be $19,000 a year and the variable costs will be $150,000 per park. Your required rate of return is 12 percent and your tax rate is 34 percent. What is the minimal amount you should bid per park? (Round your answer to the nearest $100)

Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 54.0 kg and standard deviation σ = 8.5 kg. Suppose a doe that weighs less than 45 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) (b) If the park has about 2400 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) does (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 70 does should be more than 51 kg. If the average weight is less than 51 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for a random sample of 70 does is less than 51 kg (assuming a healthy population)? (Round your answer to four decimal places.) (d) Compute the probability that x < 56 kg for 70 does (assume a healthy population). (Round your answer to four decimal places.) Suppose park rangers captured, weighed, and released 70 does in December, and the average weight was x = 56 kg. Do you think the doe population is undernourished or not? Explain. Since the sample average is below the mean, it is quite likely that the doe population is undernourished. Since the sample average is above the mean, it is quite unlikely that the doe population is undernourished. Since the sample average is above the mean, it is quite likely that the doe population is undernourished. Since the sample average is below the mean, it is quite unlikely that the doe population is undernourished.

Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 61.0 kg and standard deviation σ = 7.2 kg. Suppose a doe that weighs less than 52 kg is considered undernourished.

(a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.)


(b) If the park has about 2100 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.)
does

(c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 40 does should be more than 58 kg. If the average weight is less than 58 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weightx for a random sample of 40 does is less than 58 kg (assuming a healthy population)? (Round your answer to four decimal places.)


(d) Compute the probability that x < 62.7 kg for 40 does (assume a healthy population). (Round your answer to four decimal places.)


Suppose park rangers captured, weighed, and released 40 does in December, and the average weight was x= 62.7 kg. Do you think the doe population is undernourished or not? Explain.

Since the sample average is below the mean, it is quite unlikely that the doe population is undernourished.

Since the sample average is above the mean, it is quite likely that the doe population is undernourished.    

Since the sample average is above the mean, it is quite unlikely that the doe population is undernourished.

Since the sample average is below the mean, it is quite likely that the doe population is undernourished.