The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.89 and a standard deviation of $0.90.  Thirty-five gas stations from the Bay Area are randomly chosen.  Find the probability that the average price of unleaded gas at the 35 gas stations is between $4.45 and $5.15.  Express as a percent with 2 decimal places

Q: The average birth weight of elephants is 220 pounds. Assume that the distribution of birth weights…

A: Solution-: Given: μ=220,σ=50 We want to find the birth weight of elephants at the 90th percentile.

Q: The scores on the board are Normally distributed with a mean of 67 and a standard deviation of 13.…

A: From the provided information,X~N (67, 13)The bottom 5% of students will fail.

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: Given : Sample size, n = 50 Here the sample size is greater than 30 , the data can be approximated…

Q: Activity 2 of 3 What percent of Braves players fall between 230 and 270? O A. 95.4% O B. 47.7% O C.…

A: Answer Option c = 68.2% is correct

Q: Assume that the results are normally distributed. Pedro took an exam in a class in which the mean…

A: The formula for z-score is z = x - μσ where μ is the mean and σ is the standard deviation.…

Q: A sample of 3000 persons were surveyed for their weight in pounds, the mean weight is 135 Ibs with a…

A:

Q: The mean IQ of 500 data science students is 151  and the standard deviation is 15. Assuming that the…

A:

Q: If the average weight for cats is 12 pounds and the standard deviation is 2 pounds. 95 percent of…

A: Given data:  average weight for cats = 12 pounds standard deviation = 2 pounds. To find: 95 % of all…

Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…

A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38

Q: A data set is normally distributed with a mean of 67 and a standard deviation of 12. What percent of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of…

A:

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: According to data for a​ population, 3-year-old boys have a mean height of 38 inches and a standard…

A: given data normal distributionμ = 38 inchesσ = 2 inchesfor x = 42 inchespercentile = ?

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

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: he mean length of one-year-old spotted flounder, in millimeters, is 124.8 with standard deviation of…

A: Given,μ=124.8σ=13.52P(X<x)=0.92x=?

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: Suppose that resting pulse rates of adult males are normally distributed with a mean of 72 beats per…

A: The following information has been provided: Let X be a random variable represents the resting pulse…

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 vending machine dispenses coffee into a twenty-ounce cup. The amount of coffee dispensed into the…

A: A vending machine dispenses coffee into a twenty-ounce cup. Given that σ=0.01 You can allow the cup…

Q: he mean life of a battery is 50 hours with a standard deviation of 7 hours. The manufacturer…

A: Given data,Mean μ=50standard deviation σ=7P(X<40)=?

Q: The average score of all golfers for a particular course has a mean of 76 and a standard deviation…

A: We have given information with the usual notation, Let X denote the score of golfers for a…

Q: A class has a average height of 68 inches and a standard deviation of 2 inches. What percent of the…

A: Let x be the height which follows normal distribution with mean 68, and standard deviation 2. The…

Q: he average height for a man in California was 177 cm in 2021. If height follows a normal…

A: given data, normal distribution, μ=177σ=10p(180<X<190)=?

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: The average age of senators in the 108th Congress was 60.5 years. If the standard deviation was 13.5…

A:

Q: A teacher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10%…

A: Here we need to find the mean, median and mode for the given normal distribution. Also we need to…

Q: A study conducted by the Center for Population Economics at the University of Chicago studied the…

A:

Q: The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20.…

A: We have to find given probability.

Q: William revealed that he makes 1,000,000 dollars annually. The average annual income in the country…

A:

Q: The mean life of a battery is 55 hours with a standard deviation of 6 hours. The manufacturer…

A:

Q: cats is about 3 ounces. Assume that the distribution of birth weights is Normal with a standard…

A: Given that.   X~N( μ , ?)   μ=3    , ?=0.3   Z-score =( x - μ )/?

Q: A drug was tested on one hundred and eighty patients of which fifty patients respond to the…

A: Solution: Let X be the number of patients respond to the drug and n be the sample number of…

Q: Scores on a test have a mean of 8181 and a standard deviation of 1313. Michael has a score of 9393.…

A:

Q: A candy manufacturer has replaced 5.17% of their chocolate bars with a new mystery flavor. Find the…

A: Given: Sample size (n) = 424 p(chocolate bars with a new mystery flavor) = 5.17% = 0.0517

Q: acher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10% will…

A: Given that  A teacher wishes to give  A’s to the top 8%  of the students F’s to the bottom 8% of the…

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX<130+PX>250=P…

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: Suppose that the amount of caffeine (in milligrams) in an 16 fluid ounce energy drink can be modeled…

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

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

A:

Q: A doctor in the oncology department of a hospital surveyed the breathing rateof cancer patients. The…

A: We need to apply chebychev's theorem and Empirical rule.

Q: The heights of all women in the United States are known to be normally distributed with a mean of 63…

A: According to the given information, we have Given that the heights of all women in the United States…

Q: A particular standardized test has scores that have a mound-shaped distribution with mean equal to…

A: The mean is 126 and the standard deviation is 22.

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.