The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find the probability that the mean of a randomly selected sample of 25 people will be between 110 and 135 gallons.Assume the variable is normally distrubuted

Q: The average credit card debt for college seniors is $3000. If the debt is normally distibuted with a…

A: A) The senior owes at least $1200

Q: A manufacturer produces widgets that are packaged in boxes of 250. The probability of a widget…

A: Binomial distribution : A Binomial is a type of distribution which has two possible outcomes. i.e.,…

Q: If the variance of the recorded weights of nine basketball players is 2.36, what is the value of the…

A:

Q: A quiz consists of 20 true or false questions. If the student guesses on each question what is the…

A: Solution: Let X be the number of correct answers and n be the number of questions. Since the…

Q: If you have 100 people in your sample, what would be the degrees of freedom you use to calculate the…

A: Given, n=100 Degree of freedom(df)=?

Q: The average number of acres burned by forest and range fires in large New Mexico county is 4,300…

A: GivenMean(μ)=4300standard deviation(σ)=750

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: A recent study shows that out of 5, 000 people who moved to Arizona, 2, 350 did so to take a new…

A: From the given information, sample size n = 1000. Total number of people moved n(S) = 5000. Number…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

A:

Q: video game c

A: given, sample size(n) = 1500 sample mean (x̄) = 115 sample stadard deviation (s) = 11

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The sampling distribution of sample mean follows the normal distribution, if the population is…

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A researcher showed the mean of weights of college football players to be 200 pounds with a standard…

A:

Q: Rochester, New York averages μ = 21.9 inches of snow for the month of December. The distribution of…

A: Consider X be a random variable which, follows normal distribution, indicates the pay off by the…

Q: give the sample standard deviation of this data set: 20, 25, 35, 40

A: Sample Standard deviation:   If the standard deviation is calculated for sample then it is called as…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: If a data set has a mean of 80 and a standard deviation of 10, calculate + 1.5 standard deviations

A: Here, the data set has a mean of 80 and a standard deviation of 10.

Q: A history class has 75 members. If there is a 12% absentee rate per class meeting, find the mean,…

A: It is given that n is 75 and p is 0.12.

Q: A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from…

A:

Q: If a sample has a mean of 48 and a standard deviation of 3.2, what is the value in the set that…

A:

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: In a study of Ridge View's boys' basketball team, the average height is 68 inches and standard…

A: Given, mean =μ=68Standard deviation = 4x = 78

Q: The cafeteria records that 67% of students buy pizza with a standard deviation of .03 If you took a…

A: Given: p=67% and σ=0.03. Now, if a sample of 100 is taken, then standard deviation of sample will…

Q: The iPhone battery capacity is normally distributed with a mean of 4 years and a standard deviation…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

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

A:

Q: A football coach claims that the average weight of all the opposing teams’ members is 210 pounds.…

A: Consider that μ is the true average weight of all the opposing teams’ members.

Q: In a normally distributed data set of how long customers stay in your store, the mean is 43.5…

A: Given data Mean μ = 43.5 Standard deviation σ = 3.9 95% of your customers to stay in your store.…

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: We have given that  X~N(mu,sigma ^2) mu=17,sigma =4 Z-socre =(x-mu)/sigma

Q: Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard…

A: Given:  Let n represents the number of students in the class (n=100). Let p represents the…

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: has averaged 7.48 mg/L with a standard deviation of 1.6 mg/L. If 10 students measure the sulfate in…

A: Given: sample size, n = 10Mean, μ =7.48std. deviation, σ = 1.6

Q: If the standard error,  of a sample data set is 5 and the standard deviation,  of the distribution…

A: For a population with mean µ  and standard deviation σ, the standard error is σx̅ = σ/√n, where x̅…

Q: Regardless of the kind of workout a gym goer does, the mean time spent on the treadmill is 45…

A: According to the given information, we have Mean = 45 Standard deviation = 15 Sample size, n = 36

Q: If the grades on a statistics test are normally distributed with a mean of 80 and a standard…

A: The probability is equal to the area under the curve of normal distribution. So the probability that…

Q: With the extra data value,  the range, standard deviation, and variance is?

A: Given data: 3.31 2.79 2.83 1.97 1.69 2.54 2.46 3.44 3.93 1.59 2.86 1.61 2.57 4.02 2.49 2.42…

Q: For a sample of 120 businesses, the average profit they generate in a month is $54,000 with a…

A:

Q: What is the probability that the jewelry store will have to pay off on its promise?

A:

Q: Statewide, the population as a whole watches 6.2 hours of TV per day. A random sample of 1017 senior…

A: Given data is appropriate for testing of hypothesis to test z-test for single mean because it is a…

Q: When comparing two​ populations, the larger the standard​ deviation, the more dispersion the…

A: Note: Thank you for the question. Since only the statement is given, we have considered it as a true…

Q: . If the probability of a defective bolt is 0.1, find (a) the mean (b) the standard deviation for…

A:

Q: A successful basketball player has a height of 6 feet 77​inches, or 201201 cm. Based on statistics…

A: Given information- Height of a player = 201 cm Z-score = 3.743 We know that standard height is given…

Q: 4. The variance of a data set is 3410.56. Find the standard deviation for the data set.

A:

Q: The daily sales at a convenience store have a mean of $1280 and a standard deviation of

A: As given, the daily sales at a convenience store have a mean of $1280 and a standard deviation of…

Q: A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics…

A:

Q: The average speed of 64 random cars traveling on a certain highway was 80 km/h and the sample…

A: We have given that,  Average speed (x̄) = 80 , standard deviation    (s) = 20, Confidence level(C.I)…

Q: A financial researcher in Malaysia found that the monthly expenditure for a household staying in…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A successful basketball player has a height of 6 feet 4 ​inches, or 193 cm. Based on statistics from…

A:

Q: In a study of Ridge View's boys' basketball team, the average height is 68 inches and standard…

A: Given that, In a study of Ridge view's boys' basketball team, the average height is 68 inches and…

Q: If the mean of a set score is 65 and the standard deviation is 15, what is the zscore of a person…

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

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.