A particular fruit's weights are normally distributed, with a mean of 388 grams and a standard deviation of 22 grams. If you pick 14 fruits at random, then 5% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.

Q: the scores are normally distributed with a mean of 75 and a standard deviation of 9. What…

A: Note: As per the guidelines, only first three sub-parts (1., 2. and 3.) are solved here. Given data:…

Q: What z-score would be associated with the value x = 124?

A: Given that Mean = 133 SD = 6 And the value is X = 124

Q: In your school with 400 Grade 11 students, the final examination in General Mathematics has a mean…

A:

Q: If a sample has a mean of 150 and a standard deviation of 9, what is the value in the data set that…

A: Given,mean(μ)=150standard deviation(σ)=9Z-score=1.58

Q: If a one-person household spends an average of $76 per week on groceries, find the maximum and…

A: Let the random variable X is the amount of money spent by one - person household. The random…

Q: The reading speed of second grade students in a large city is approximately normal, with a mean of…

A: we have given that mu=90 ,sigma=10 and sample size n=10  Z-score =(x-mu)/sigma X~N(mu, sigma^2)

Q: Suppose the heights of adult women are normally distributed with a mean of 65 inches and a standard…

A: Given: The heights of adult women are normally distributed with Mean, μ=65 inches Standard…

Q: The average time it takes a certain brand of ibuprofen to start working is 25 minutes, with a…

A: The mean of the sampling distribution of the sample mean is represented as and is given by

Q: The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard…

A:

Q: If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z score for a…

A: We want to Z-score

Q: Suppose you found that the average sea- faring bird can fly 8,000 km without stopping. The wandering…

A:

Q: For a sample of 18 cars, you find the standard deviation of the price is 6150 (measured in dollars).…

A: Given that, Sample size of cars n=18 Standard deviation of the price s=6150

Q: Students at Arrowhead High School took an English test with a mean of 120 and a standard deviation…

A: Let X be a random variable of normal distribution with mean 120 and standard deviation 25.  Let Z be…

Q: In a PH modeling agency, a researcher wishes to see if the average height of female models is really…

A: Given,sample size(n)=32sample mean(x¯)=66.3sample standard deviation(s)=1.9degrees of…

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 4lb. if the weights are…

A:

Q: A statistics professor announces that 15% of the grades he gives are As. The results of the final…

A: It is given that the mean and standard deviation are 83 and 6, respectively.

Q: the length of a certain species of fish were found to be normally distributed. the mean length is 72…

A: Any assumption about the parameter or probability function is called a hypothesis. Given data are…

Q: Given a mean of 1,500 and a standard deviation of 53, calculate the value that is 2 standard…

A: Given that, Mean = 1500 Standard deviation = 53

Q: The final grades in a math class has a mean of 77 and a standard deviation of 9.77 if the professor…

A: Here we need to find the cutoff for A grade. Given that the top 10% are given A. We assume that the…

Q: Suppose a probability and statistics class took an exam that had a mean of 60 and a standard…

A: Given, E(X)=60 SD(X)=12   After 10 Point curve Let Y be new variable.

Q: The population weights of a particular fruit is normally distributed, with a mean of 689 grams and a…

A: Given: μ = 689 σ = 30 n = 18 The value of z at 4%, i.e., corresponding to the right to the 4% area…

Q: When Lauren runs the 400 meter dash, her finishing times are normally distributed with a mean of 88…

A:

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years.  What is…

A: The mean is 68 and the standard deviation is 10.

Q: For a sample of 18 cars, you find the standard deviation of the price is 6150. What is the standard…

A: Given: Sample size=n=18,Standard deviation=σ=6150.

Q: Given that the mean score is 83 and the standard deviation is 6. What z-score corresponds to the…

A:

Q: All the houses in Stanton county have a mean size of 1650 square feet with a standard deviation of…

A:

Q: If the average American sleeps 8 hours a night, with a standard deviation of 1 hour, and I plan on…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A:

Q: Suppose that people height (in centimeters) are normally distributed, with a mean of 170 and a…

A:

Q: The distance traveled by a commuter in the city, has a mean of 28 miles and a standard deviation of…

A: Given,mean(μ)=28standard deviation(σ)=6sample size(n)=500

Q: An mechanic wishes to determine the length of the typical battery cable. If he knows that the…

A: Given: Standard deviation =3.7 E=0.30 95% confidence interval =1.96 Determine the number of cables…

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 71…

A: Solution: Let X be the height of the student boy. From the given information, X follows normal…

Q: A popcorn company find that their 1kg bags have a mean of 985 grams with a standard deviation of 24…

A:

Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

Q: A certain data set has a mean of 60 and a standard deviation of 12. Given that the data set has 120…

A:

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 5lb. if the weights are…

A: We have to find correct answer..

Q: If the mean is two, and the standard deviation is one, would a value of five be considered…

A: Unusual values : Unusual values should be lie outside the 2 standard deviation from the mean.   i.e.…

Q: A particular fruits weights are normally distributed, with a mean of 797 grams and a standard…

A: Let us assume X= weight of a particular fruit Given that X follows a normal distribution with mean=…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A:

Q: If the average height of all women is 63.5 inches and the standard deviation is 2.5 inches,…

A:

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 71…

A:

Q: A population has a mean of u=50 and a standard deviation of 0=10. If 3 points were added to every…

A: The properties of mean are:E(X + a) = E( X ) + a * E(X+a)=E(X)+aE(aX)=aE(X)The property of variance…

Q: Which would you expect to be the larger standard deviation: the standard deviation of the weights of…

A: Consider,  the standard deviation of the weights of 25 students in a first-grade class, or the…

Q: Jessica, the owner of a medium-scale native handicrafts shop, knows from experience that the time…

A:

Q: If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket,…

A: Let X= salary  Given that X follows a normal distribution with mean= 48000 and standard deviation =…

Q: If the coefficient of variation for a data is given as  35%, and the standard deviation for the same…

A: Given that Coefficient of variation, C.V =  35% And the standard deviation is SD = 32

Q: Find the standard deviation for this data set. if a one goal hockey game was added to this data set,…

A: From the plot representing the number of goals scored per game, there are three games in which three…

Q: A statistics professor announces that 15% of the grades he gives are As.  The results of the final…

A: Solution:From the given information, mean score is 83, standard deviation is 6. The fifteen…

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…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.