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. One sleeping bag you are considering advertises that it is good for temperatures down to 25°F. What is the probability that this bag will be warm enough on a randomly selected May night at the park?

Q: New York City is the most expensive city in the US for lodging. The mean hotel room rate is $204 per…

A: given datanormal distributionμ = 204σ = 55P(x>225) = ?

Q: A study was conducted to measure the weights of the tilapia harvested from a particular cage far…

A: The weight are normally distributed with mean 370.2 with standard deviation μ=370.2σ=32.7

Q: The mean commute time for employees working at Dunder Mifflin Paper Company was 24 minutes with a…

A: Let X be the commute time for employees working at Dunder Mifflin Paper Company. The random variable…

Q: The weights of sheep available for sale for during Eid Qurban is normally distributed with a mean…

A: From the provided information, Population mean (µ) = 45 kgs Population standard deviation (σ) = 5…

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: The average price for a gallon of gasoline in the United States is $3.76 and in Russia it is $3.39.…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A particular fruit's weights are normally distributed, with a mean of 209 grams and a standard…

A: Population mean, μ = 209 gramsPopulation standard deviation, σ = 18 gramsLet, X, be the particular…

Q: a. What is the probability that a randomly-chosen person attending this convention owns between 67…

A: Here mean = 73  And standard deviation  = 7 Here use normal distribution table for finding…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given that mean 158lb and a standard deviation of 30.7lb  we have to find  A)pilot is randomly…

Q: The university campus has a record of temperatures in recent years, which have a mean of 25.5…

A: To test whether the data follows normal distribution or not, let us consider Chi-square test for…

Q: A research firm conducted a survey to determine the average amount of money consistent smokers spend…

A: We have given that,  Let X be a random variable from normal distribution with mean(μ) = 20 and…

Q: Automobile repair costs in Georgia continues to rise with an average cost now at $367 per repair…

A:

Q: snip

A: Given: Average renovation time is, μ1=4 weeks. Standard deviation of renovation is, σ1=1 week.…

Q: Most graduate schools of business require applicants for admission to take the GMAT exam. Suppose…

A: The random variable is score on the GMAT. It follows standard normal distribution. The population…

Q: Apartment cost. The average cost of an apartment in the Cedar Lakes development is $62,000 USD with…

A: Average cost of an apartment μ(μ) in Cedar Lakes: $62,000 USDStandard deviation σ(σ) of apartment…

Q: Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is…

A: Given X is normal Distributed with mean µ = 1800.0 and standard deviation σ = 125.0 now will using…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given An engineer is going to redesign an ejection seat for an airplane. The seat was designed for…

Q: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: If the sampled tilapia number 500, how many of these are expected to weigh between 330 and 394…

A: Given that mu =370.2 , s.d = 32.7

Q: In a Godiva Chocolate Shop, there are different sizes and weights of boxes of truffles. a. Find the…

A: a. Given: μ=283σ=1.6 The probability that a box of truffles weighs between 283 and 285.4 grams…

Q: The average amount of students who ride the bus each year and Wilton Iowa is 60 students. The…

A: Given,   Mean = 60 Standard deviation = 5   The objective is to find the required probabilities.

Q: High school girls average 80 text messages daily. Assume the population standard deviation is 15…

A: Given information:

Q: The average sales price of a single-family house in the United States is $235,000. You randomly…

A: Given, Mean sales price of family in US is $2,35,000 Standard deviation is $50,000 I.e.,…

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A:

Q: Lara coaches a kids netball team and has started tracking the players stats to help motivate them.…

A: Let X be a random variable and x follows binomial distribution. Then, n be the number of trials and…

Q: A company manufactures Samsung electronics. The mean resistance for these electronics is 1000 ohms…

A: We have yo find the probability that the mean resistance of these 50 electronics will be 1005 ohms…

Q: A large normally distributed population has a mean of 502 and a standard deviation of 25. If the…

A: Given,sample size(n)=36mean(μ)=502standard deviation(σ)=25

Q: NBA basketball players have a mean height of 79 inches and a standard devaiation of 3.5 inches.…

A: Solution: Let X be the height of NBA basketball player. From the given information, µ=79 inches and…

Q: We can assume that the heart rate of healthy spanish men follows a normal distribution with mean 80…

A: We have to find out given probability...  And x value. .

Q: Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a…

A: Given: i. Calculate the corresponding Z score as follows: The diagram corresponding to the mean…

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A:

Q: The probabilities that a person is receiving a chat message 0, 1, 2, 3, 4, or 5 per day are the…

A: Let X be the random variable having probability distribution is,  X 0 1 2 3 4 5 P(x)  0.08 0.19…

Q: An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each…

A: Solution: given that Each warehouse has a .05 probability of experiencing a fire. If a fire is…

Q: rice of a single-family house in the U.S. is $235,500. you randomly select 12 single family houses.…

A: the average sales price of a single-family house in the U.S. is $235,500. you randomly select 12…

Q: The average salary for a civil engineering major is $75,000 with a standard deviation of $10,000. A…

A: Given the average salary for a civil engineering major is $75,000 with standard deviation of…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

Q: Suppose 50% of the bumblebee bats are female. 25 bumblebee bats are selected at random and the…

A: Given that n =25 , p= 0.5

Q: The weights of sheep available for sale for during Eid Qurban is normally distributed with a mean…

A: From the provided information, Population mean (µ) = 45 kgs Population standard deviation (σ) = 5…

Q: A professor of statistics noticed that the marks in his course are normally distributed. He also…

A:

Q: An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots…

A: Given Data Population Mean,μ = 158.0 Population Standard Deviation,σ = 31.1

Q: In a popular painkiller medicine, it is advertised there is 500 mg of the active ingredient per…

A: Given,mean(μ)=504 mgstandard deviation(σ)=2 mg

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given,mean(μ)=129standard deviation(σ)=27.3

Q: In the month of July, the average electrical Eversource bill in Amherst Massachusetts is $72 with a…

A: Given data,Mean μ=72sd σ=6If n=15P(X<75)=?

Q: use values in Martin, TN are known to have a distribution that is skewed to the right instead of…

A: GIVEN DATA, normal distriubution μ=64500σ=21350we have to find out the given probabilities

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.