A particular fruit's weights are normally distributed, with a mean of 718 grams and a standard deviation of 6 grams. you pick 22 fruits at random, then 15% of the time, their mean weight will be greater than how many grams? If Give your answer to the nearest gram.

Q: The distribution of the lengths of a commercially caught fish is bell-shaped with mean 24 cm and…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Illustration : The mean and standard deviation of a set c 100 observations were 40 and 5 respective…

A: Mean is the average value of given observations. For a set of 'n' observations, mean is the sum of…

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: You are curious about how the mean age of cars compares for students and faculty. You take a random…

A: We have given that a random sample of 25 students and a random sample of 25 faculty members.

Q: weight of 10 persons needs to be greater than 190.29 xceed the weight of the elevator. (d) What is…

A: It is given that  Mean, μ = 155 Standard deviation, σ = 29 Sample size, n = 16 Weight limit = 2500

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: The weight of football players is normally distributed with a mean of 200 pounds and a standard…

A: Given,mean(μ)=200standard deviation(σ)=25

Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…

A: Given Data: Let X represent the random variable   X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…

Q: knowing the mean will be within ±0.5 mm?

A:

Q: After 5 points are added to each score in a sample, the mean is found to be M=45 . What was the…

A: Given data: c = 5 points are added to each score in a sample. New mean, M = 45 Let the original mean…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a…

A: Let X be a random variable such that X: Height of the children Since the sample is large (500)…

Q: Part 1 of 3 What is the probability that the sample mean cholesterol level is greater than 212? The…

A: The central limit theorem states that if you have a population with mean μ and standard deviation σ…

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

A: The given situation follows binomial distribution. The proportion of people born in United States…

Q: a survey of Town X found an average of 3.2 perosns per household and a mean of 1.2 televisions. I f…

A:

Q: The average weight of a group of 25 boys was. calculated to be 78'4 lbs. It was later discovered…

A:

Q: Suppose a variable is normally distributed. What percentage of scores fall between one standard…

A:

Q: Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA…

A: From the given information,   Mean = 3.6 Standard deviation = 0.3   The objective is to find the…

Q: the data set has a size 50, how many observations lie within 2 standard deviations of the mean

A: From the provided information, Sample size (n) = 50 The observations lie within 2 standard…

Q: For a set of 250 measurements the mean is 110 and the variance is 144, how many of these…

A: Mean = μ = 110 Variance σ2 = 144Standard deviation = σ = σ = 12

Q: Data is given as per    40,   80,  100.   If the first two are equally important and the third (100)…

A: Given data: 40, 80, 100 First two are equally important and the third (100) is half as important as…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally…

A: Given Data: Let X represent the random variable   Mean=1252 SD=129   X~ Normal (1252, 1292)

Q: A data set has five values. The 45th and the 55th percentile are both 25. The largest value is 125,…

A: We have to given that,   data set has 5 values i.e. n=5 and 45th percentile = 55th percentile = 25…

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: A particular fruit's weights are normally distributed, with a mean of 696 grams and a standard…

A:

Q: H=34, o=4.5, the score is 2.5 standard deviations above the mean

A: Suppose the variable of interest is x.The mean is and the standard deviation is .

Q: d. The degrees of freedom = e. The test-statistic for this data (Please show your answer to three…

A: d. Degrees of freedom: df=number of categories-1   =4-1   =3

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

Q: Find the area of the shaded region. The graph to the right depicts scores of adults, and those…

A: normal distribution curve is given μ = 100σ = 15area shaded to the left of 120.

Q: Roll a pair of die 36 times, and draw a bar graph of all the outcomes. Using the data, find the…

A: In question,  Given that a pair of dice is rolled 36 times. Then we'll find mean Variance and…

Q: The average life of a car tire is 50,000 miles.  The standard deviation is 2,000 miles   What…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: Randy took a standardized test that is normally distributed. He scored a 105 on the test. The…

A: Given  Mean=mu=94 , Standard deviation=sigma=6.2 X=105 X~Normal(mu=94,sigma=6.2)…