Suppose cattle in a large herd have a mean weight of 1169lbs1169⁢lbs and a variance of 17,16117,161. What is the probability that the mean weight of the sample of cows would differ from the population mean by less than 12lbs12⁢lbs if 145145 cows are sampled at random from the herd? Round your answer to four decimal places.

Q: The mean we ght of an adult is 76 kilograms with a variance of 100 if 142 adults are randomiy…

A: Given,mean(μ)=76standard deviation(σ)=10 sample size(n)=142

Q: From past results, a professor knows that the test scores are normally distribution with a mean 78…

A:

Q: Fifty five percent of the students in a class of 135 of planning to go to graduate school, Find…

A: Answer: From the given data, Fifty five percent of the students are planning to go to graduate…

Q: f the correlation between x an y is .67, what percent of the variance is shared variance…

A: Let x be the independent variable Let y be the dependent variable The correlation between x and y…

Q: A production manager at a wall clock company wants to test their new wall clocks. The designer…

A: Solution: a. Let X be the clock life. From the given information, X has mean 17 years and a variance…

Q: The mean weight of an adult is 62 kilograms with a variance of 144. If 195 adults are randomly…

A: Population mean=M=62 Population variance=S2=144 Population standard deviation=√S2=√144=12 Sample…

Q: Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean…

A: Given data Mean Diameter(µ) = 144 Variance (σ2) = 49 Standard deviation = 7 No of samples (n) = 4…

Q: Find the mean and variance of the numbers generated by rolling two die and counting the sum of the…

A: We have given that the two dice are rolled. Total number of possible outcomes = 36 The sample space…

Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…

A: It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds. Sample…

Q: (b) The number of red balls in a sample of 8 balls chosen at random from a box contains 30 balls of…

A: We have to find the mean and variance of Hypergeometric distribution.

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Suppose that the weight of a particular hand weight is advertised to be 5 pounds, but it can…

A: Answer  Given  Mean = 5 Minimum value = 4.5 Maximum value =5.1 We know that: Variance = [Range/4]^2.

Q: Suppose that 39% of all patrons at Goldy's gym spend more than 10 hours a week at the gym. Goldy's…

A: Given that  n=60 , p=39%=0.39 , q=1-p=1-0.39=0.61 X~Binomial(n=60 , p=0.39) P=Probability Goldy's…

Q: State the properties of Co- variance;

A:

Q: how to find the variance?

A: Variance is a measure of variability. It is computed by the average of squared deviations from the…

Q: Tim is a researcher who is dealing with a SAMPLE of scores.  The SAMPLE of scores is: 14, 16, 18,…

A: Given observation SAMPLE of scores is: 14, 16, 18, 13, 13, 19, 21, 11 n = 8

Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…

A: Given Population mean = 36miles Population standard deviation =5

Q: Jessica hypothesizes that giraffes will look longer at human infants than at adults. In her zoo, she…

A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…

Q: Suppose the variance of X is 95. What is the variance of .09X?

A: The objective of this question is to find the variance of a variable that has been scaled by a…

Q: A researcher wishes to test if the variance of scores on a particular exam is the same for college…

A: The given hypothesis is H0:σA2σB2=1 Versus Ha:σA2σB2≠1

Q: The number of packages a business receives in a week is a random variable with a mean and variance…

A: Step 1: Suppose x is the random variable that defines the number of packages a business receives in…

Q: a batch of rods produced at a plant have a mean length of 151 mm, and a variance of 64. If 116 rods…

A: Z= x¯-μσ/n~ N(0,1)

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: What value is the probability that the mean of nine randomly selected individuals from a normally…

A: Sampling distribution of the sample mean x¯ ~ N(μx¯ , σx¯)

Q: If 446 rods are sampled at random from the batch, what is the probability that the mean length of…

A: Here we have given information, A batch of steel rods produced at a steel plant have a mean length…

Q: Suppose the variance of X is 33. What is the variance of .23X?

A: Given,Var(X)=33 we know that Var(ax)=a2Var(X)

Q: pose the horses in a large stable have a mean weight of 818lbs, and a variance of 3481.   What is…

A:

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25 and a…

A: Suppose the random variable x defines the diameter of metal shafts.

Q: Enter the decision rule. Reject Ho if z > _______

A: The claim of the test is, that the medicine relieves pain in more than 340 seconds indicating the…

Q: The random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…

A: Given Data: X is a random variable   Variance (X)=16   X~ Normal (μ, 16) P(x>65)=0.025

Q: The sum of the squared deviation scores, aka the sum of the squares, is SS=60 for a sample of n=5…

A:

Q: Suppose you want to know the variance of the weights of the only 6 Snakes in a particular 200. You…

A: Given: A table: Weight Difference from the mean X-μ (Difference from the mean)2 X-μ2 8.3 -0.5…

Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…

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: How to find the variance, explain the formula

A: Mean:Mean is a measure of center in case of quantitative data. Mean of a data set is the sum of the…

Q: he mean cost of a five pound bag of shrimp is 47 dollars with a variance of 36. If a sample of 43…

A:

Q: You are told that the distribution of television weights is normal, with a mean, u of 12.6 kilograms…

A: Given,sample size(n)=8mean(μ)=12.6standard deviation(σ)=2.9

Q: The mean cost of a five pound bag of shrimp is 46 dollars with a variance of 64. If a sample of…

A:

Q: Suppose the annual earnings of clinical pharmacists follows a normal distribution. A sample of 30…

A: Given Let n, sample size=30

Q: The formula for total variance (SST) is

A: Solution:-

Q: A business school has a goal that the average number of years of work experience of its MBA…

A: The random sample of size, The average number of years of work experience, The population variance,…

Q: Fourty percent of the students in a class of 120 are planning to go to graduate school Find the…

A: Answer: From the given data, Sample size(n) = 120 Forty percent of the students planning to go to…

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.