Provide an algebraic proof that the least squares estimator is not consistent when Cov(x,e)=0 with the regression model y =B1+B2E(x)+e where E(e)=0 So that E(y) = B1 + B2E(x)

Q: Using the line graph to the right, calculate the amount and percent of increase in the employee's…

A: 2005 is in mid of (2006 and 2004) See y-axis at 2005 ( y=40) At 2006 (y=42)

Q: What is the answer for   12! _____ (5!)(3!)

A: Farmula used r!=r×(r-1)×...×3×2×1

Q: of fruits spoiled frequency 0 3 1 14 2 11 3 9 4 9 5 2 6 2 7 3 14 1 25 1 build a steam and leaf chart…

A: Data given number of fruits spoiled frequency 0 3 1 14 2 11 3 9 4 9 5 2 6 2 7 3…

Q: Suppose X~ N(2,6). What value of x has a z-score of three? x= .5

A: Given,mean(μ)=2standard deviation(σ)=6Z-score=3

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A: It is given that  Mean, μ = 174.1 lb Standard deviation, σ = 45.2 lb

Q: Find the z-scores for which 90% of the distribution's area lies between -z and z.   Please show how…

A: z be a standard normal random variable. then z ~ N(0,1)

Q: 2. A shipment of 30 computers has arrived at a store. The manufacturer of the computers called the…

A: 8 - defective computers22-working computers___________30 total computers sold 5  computersP(atleast…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard…

A: Let X be the adults IQ score are normally distributed with mean 105 and standard deviation 20.…

Q: Give the boundaries of the indicated value. 7 quarts

A: The given quart is 7.

Q: 11) An airline knows from experience that the distribution of the number of suitcases that get lost…

A: Given Mean =15.5, standard deviations=3.6

Q: A bus holds students with a mean weight of 87 lb with SD = 6.5 lb Find the z-value for a group of…

A: Solution-: Given: μ=87,σ=6.5 We want to find z-value for  (a) a group of 34 students if you want the…

Q: A consumer advocacy group is doing a large study on car rental practices. Among other things, the…

A: It is given that the mean monthly mileage of cars rented in the U.S. this year is greater than last…

Q: The cumulative frequency function of a discrete variable X in group A is given by x < 12 12 < x < 32…

A:

Q: Determine the number of outcomes in the event. Decide whether the event is a simple event or not. A…

A: Solution-: A computer is used to select randomly a number between 1 to 9 inclusive. Event C is…

Q: pressure (SBP) during the test was 118.3 mm HG with a standard deviation of 9.9 mm HG. Construct a…

A: Given that  Sample size n =14 Sample mean=118.3 Standard deviation =9.9

Q: (Y-1)². Use one decimal place accuracy.

A: Given that  Y ~ Uniform (1 , 11)

Q: Suppose that a scientist has reason to believe that two quantities x and y are related and b.…

A: Hint: Differentiate the total sum of squared deviations with respect to parameters and equate the…

Q: order to use ANOVA    A. Only the variances and means are required.  B. Only the TSS is needed  C.…

A: Given that  In ANOVA  SST = Sum of Square of Treatment  TSS = Total Sum of Squares  dfT = Degree of…

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A: It is given that X is the number of up-dots in a die. The given information is as follows: sample…

Q: 4.46 For a random sample of 36 graduate students in economics in a graduate economics program with…

A: Given Let n be the sample size X be the number of graduate mahor in mathematics  n=36, x=8

Q: Two distributions of data are being analyzed. Distribution A has a mean of 125 and a standard…

A: Given For A mean=125, standard deviations=50 For B mean=10, standard deviations=2

Q: X is a Gaussian random variable with mean 3 and variance 9, determine the probability of the…

A: Given that  Mean = 3 , Variance = 9 Note: According to bartleby experts question answers guidelines…

Q: When the null hypothesis is rejected, then:    A. F>F(α,n-k,k-1)  B. F>F(α,k-1,n-k)  C. F = 0  D.…

A: We will find the rejection region in ANOVA table.

Q: Confidence level=95%, degrees of freedom=14 i

A: Ans# - Given       confidence level = 95%      degree of freedom = 14     Find t percentile that is…

Q: (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type…

A: It is given that  Population proportion, p = 80% = 0.80 Favourable cases, X = 178 Sample size, n =…

Q: μ = 30 and σ = 11. Find a value of x that has area 0.01 to its right. x = 4.414 USE SALT X

A: Given that  Mean = μ = 30 , Standard deviation = σ = 11 P(X &gt; x) = 0.01 Note : According to…

Q: In flipping a fair coin, what is the probability of either heads or tails on one toss?

A: Answer:-Given, In flipping a fair coin,             what is the probability of either heads or tails…

Q: On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were…

A: From the provided information, Sample size (n) = 10 Level of significance (α) = 0.01 The difference…

Q: Which statement is incorrect.    A. The F-test is used in ANOVA  B. When ANOVA is used and the null…

A: It is given that the statement about to the ANOVA. Here, need to find out the incorrect statement.

Q: Larry purchased an annuity from N insurance company that promises to pay him $2,000 per month for…

A: $2000 per month for rest of his life. Larry paid $210240 for annuity  From table : For 72 years  :…

Q: Need help with part d). Thank you :)

A: Given The data is as follows: x P(X=x) 0 0.317 1 0.286 2 0.199 3 0.121 4 0.056 5…

Q: Given that the rank correlation coefficient for 19 pairs of data is rs = 0.369, test the claim that…

A: Given, r critical is 0.369 Level of significance is 0.05 and sample is 19. Degree of freedom is = n…

Q: (b) Use the 95% rule and the standard error SE = 0.028 to give an interval which contains roughly…

A: Empirical rule explain the spread of data in the normal distribution. It satisfy the three ranges of…

Q: The test statistic of z= 1.79 is obtained when testing the claim that p > 0.9. a. Identify the…

A: Given that  Test statistics = Z = 1.79 ,  H0 : p = 0.9  Vs   H1 : p &gt; 0.9 Level of significance =…

Q: You are trying to plan your investments for the next year. You have decided that the market will…

A: Solution: From the given information,

Q: uppose widget masses have a mean of 20 grams and a standard deviation of 5 grams. It is known that…

A: Given, mean is 20 and standard deviation is 5. We will use z-standard normal distribution to find…

Q: 3. An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that…

A: Introduction: It is required to find the probability of selecting four packages that are…

Q: To calculate the F statistic    A. The MSE and SST is important  B. The pooled variances is…

A: Given that  MSE = Mean Sum of  Square of Error SST = Sum of Square of Treatment  dfT = Degree of…

Q: The manager of a bookstore with a coffee shop wants to know the proportion of customers that come…

A:

Q: X~ N(54,8). Find the probability that x < 30. I

A: given data normal distributionx~N(54,8)μ = 54σ = 8P(x&lt;30) = ?

Q: Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable…

A: The standard deviation of X is 4 and standard deviation of Y is 8.

Q: The accompanying data on x = current density (mA/cm²) and y = rate of deposition (pm/min) appeared…

A: Given that: x y 20 0.19 40 1.20 60 1.61 80 2.27

Q: A data set about speed dating includes "like" ratings of male dates made by the female dates. The…

A: Given Information: Sample size n=191 Sample mean x¯=7.58 Sample standard deviation s=1.98…

Q: The number of stories in each of a sample of the world’s 30 tallest buildings follows.  Construct a…

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Q: The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary…

A: From the provided information, Sample size (n) = 36 Sample mean (x̄) = 12.188 Sample standard…

Q: The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate…

A: Solution: Let X be the tank temperature and y be the efficiency ratio. From the given information,

Q: The histograms below show the distribution of daily high temperatures in two cities: Provo, Utah and…

A: Both distribution are fairly symmetric Mean = 60 Standard deviation = 8 for one city  Standard…

Q: survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation…

A:

Q: 4.51 A random sample of n = 16 with X = 50 and s = 10 is taken from a very large population that is…

A: Given (a) n=16, sample mean x̄=50, s=10  (b)  When population standard deviations σ=10

Q: Refer to Exhibit 13-12. The mean square between treatments (MSTR) equals

A: From given data we have ; SSTR=736 SSE=900 nt=18