i) What is the moment generating function of the sample mean? ii) What will be the mean of the sample mean? iii) Show that the variance of the sample mean is 0.1.

Q: The number of people in a car that crosses a certain bridge is a random variable x. The toll on the…

A: Let us denote: X= number of persons  Y= amount of money collected The fixed charge is $2. And per…

Q: A sample of 6400 cases is drawn at random from a large population. The Variance is 100. Calculate…

A: Sample size, n = 6400 Variance = 100 Standard deviation = VarianceStandard deviation = 100Standard…

Q: ir there is claim that the variance of sales is defferent from 39. A sample of 29 is chosen, the…

A:

Q: Find the standard error,  t statics Sample variance = .67 Sample size = 30 Population  size = 60…

A: Given information- Sample variance, s2 = .67 So, sample standard deviation, s = 0.819 Sample size, n…

Q: A sample of size N is taken from a population of an unknown size. The average squared deviation from…

A: The average square deviation for the mean from this sample is also known as variance of the given…

Q: You are testing the claim that the mean GPA of night students is different from the mean GPA of day…

A: The question is based on hypo. testing of a difference between two popl. means. Given data : GPA…

Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…

A:

Q: What is formula for variance for sample?

A: Variance measures absolute variability in a data set, calculated with respect to the mean. That is,…

Q: State the properties of Co- variance;

A:

Q: Derive the variance of the Student’s t distribution , show complete and detailes solution

A: Objective of this question is that, drive the variance of T distribution. Given  T~t distribution…

Q: A z-score indicates how many variances a value is above or below the mean. True False

A: A z-score is known as the standard score that determines how much the data point deviates from the…

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: Show that X is a sufficient estimator of the mean u of a normal population with the known variance…

A: X~N(μ,σ2)

Q: a(n). . . test ...... To test the equality of two variances, you would use Chi-square

A: We will F test to test the equality of two variances.

Q: A researcher calculates the variance of her sample to be s = -6. , what would you tell the…

A: Here's the explanation for this as follows; The sample variance, s², is used to calculate how varied…

Q: What formula is used to calculate the sample variance?

A:

Q: When is the population standard greater than the population variance?

A: Variance: The variation between each observation from its mean is known as variance. The greater the…

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: The table below shows relativ frequency distribution for 50 employees working in a sma construction…

A: The Variance of the frequency distribution is given as                              Variance…

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: Formulate the mean of the sampling distribution of the difference between means ?

A:

Q: Consider throwing a die 20 times. Let X be the number of times th outcome is less than 3. Find the…

A: Given that  n=20  , p=2/6=1/3 , q=1-p=1-(1/3)=2/3 X=Number of times the outcomes less than 3…

Q: What are the steps for a hypothesis test for population mean when the variance is known?

A: Given the variance for hypothesis test for population , To write the steps for the hypothesis test…

Q: what test is used to determine whether two population means are different when the variance are…

A: The test that is used to determine if the two population means are different when the population…

Q: For a sample of n=16 scores, how many scores are used to calculate the sample variance?

A:

Q: ? Estimates of variance can be used to test a hypothesis because?

A: These estimates are formulated to interpret the means and also to discuss whether the sample means,…

Q: What is formula for the variance of the population?

A:

Q: The standard error of the sample mean of sample size n from a populatțion with variance o is Vn

A: Answer: For the given question, Proof:

Q: An article about “Relative Controllability of Dissimilar Cars” reported a study in which 14 subjects…

A: Given information: x¯D=1.21s2=160.7824 The researcher claims that the population mean difference of…

Q: How is it that estimates of variance can be used to test a hypothesis about means?

A:

Q: Find the value of variance in the Binomial distribution where there are 5 samples and p=0.3.

A: The formula of the variance for binomial distribution is,where,n denotes the sample sizep denotes…

Q: what test is used to determine whether two population means are different when the variance are…

A: Solution :  when the variance are known and sample size is large then we use z test to determine…

Q: What does it mean that the variance (computed by dividing by N) is a biased statistic?

A:

Q: how do you find the variance of the mean squared errors from this tabe

A: We need to find the variance of MSE of the given data:Year1969197319751979198319881991# Attending…

Q: Show that E[Sample Variance] = Population Variance

A: Let s2 denotes the Sample Variance and σ2 denotes the Population Variance Let X1 , X2.....Xn are…

Q: Suppose a researcher wants to determine if the proportion of students who graduate college in four…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…