Let X be a random variable with finite expectation u and variance o?. Let X be the sample mean, based on a random sample of size n. Prove that X is an unbiased and consistent estimator of u.

Q: In a regression problem, the following pairs of (x, y) are given: (3, 1), (3, –1), (3, 0), (3, –2), ...

A: The regression equation is used to relate the dependent variable with independent variable. The leas...

Q: Men's heights are normally distributed with a mean of 68.4 in and standard deviation of 2.6 in. Use ...

A: Let X be the random variable from Normal distribution with mean (μ) = 68.4 and standard deviation (σ...

Q: 0 1 2 3 4 S 6 7 8 9 10 11 12 Year Determine the equation of the line of best fit. Question 19 option...

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Q: The one-sample t statistic from a sample of n = 19 observations for the two-sided test of Ho : µ = 6...

A: Given: n= 19H0= 6Hα≠6t=1.93

Q: As shown in the table, the average number of siblings (sibs) for 1018 middle class adults is 3.15. B...

A: Introduction: It is required to determine if the middle class of the country come from smaller famil...

Q: Consider the following random variables (r.v.s). Identify which of the r.v.s have a distribution tha...

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Q: For the Toy Car table above, what are the Planned Order Receipts in the week of 8/31? Number For the...

A: From the table we have 1.700 2.2500 3.3200 4.1750 5.400 6.0 7.3150 8.2100

Q: A minority representation group accuses a major bank of racial discrimination in its recent hires fo...

A: Sample size (n) = 900 Population mean (p) = 0.10

Q: Determine the probability P (6). Round the answer to at least four decimal places.

A: Solution Given that , X has binomial distribution with parameter n=14 and p=.2 Then q=1-p=1-.02=0.80...

Q: A manufacturing machine has a 2% defect rate. If 9 items are chosen at random, what is the probabili...

A: Binomial distribution is given by

Q: Four different designs for digital computers circuit are being studied to compare the average amount...

A: Given: Output of ANOVA Table MSE=73.20N=20k=4α=0.05

Q: Consider The following data in Otacnu Tours Inc., which represents the overall miles per gallon, in ...

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.... Gi...

Q: This graph shows how the wind resistance of a moving car increases with speed. 100 90 80 70 60 50 40...

A: Option B is the answer. The line of best fit has been drawn incorrectly;there is an uneven number of...

Q: Determine if the following data is approximately normal using the Pearson coefficient of skewness. 2...

A: The coefficient of skewness is used to measure whether the distribution is skewed. There are two met...

Q: x? 0.025,7

A: We have to give that χ20.025,7 Here, degrees of freedom =7 α=0.025    

Q: The length of time (in seconds) that a user views a page on a Web site before moving to another page...

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Q: A coin-operated coffee machine made by BIG Corporation was deslgned to discharge a mean of eight oun...

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Q: Consider the following two-parameter normal family with PDF 1 f(x; μ, σ) - - o 0. Find the MLE for ...

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Q: A traffic survey found that that 74% of cars on a highway drive over the displayed speed limit. A sa...

A: Given that n = 1130,p =0.74 Find ( a ) E( x) =? sigma = ? ( b ) Is 666 cars unusually high,loe or ne...

Q: According to a study done by UCB students, the height for Martian adult males is normally distribute...

A: Solution

Q: A sociologist is studying the effect of having children within the first two years of marriage on th...

A: From the provided information, Margin of error = ±2% = 0.02 Confidence level = 90%

Q: A committee will be formed with 4 managers and 3 engineers selected without replacement from10manage...

A: Solution-: We have following information; A committee will be formed with 4 managers and 3 engineers...

Q: Here are measurements (in millimeters) of a critical dimension on an SRS of 8 of the more than 200 a...

A: Formula : CI=point estimate ± ME

Q: n=20, a =0.01 -"/2,n – 1

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Q: Use the California method in the linear interpolation formula to estimate the 86.81 percentile for t...

A: 86.81th percentile, P86.81= L+h(86.81*n/100-cf.)/f Here L is the lower limit of modal class. h= widt...

Q: Q7. In the Standard Normal distribution of Z, Z ~ N(0,1), find the Z value Zo.025 such that Pr(Z<Zo....

A: We have given that.   X~N( 0 , 1 )   μ=0  , ? =1   Z-score =( x - μ )/?

Q: 2. A line has equation y=r-0.5 a. Pick five distinct x-values, use the equation to compute the corre...

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Q: (a) Test for the equality of variances of mathematics test results from the students with and withou...

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Q: Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The ...

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Q: X ev An investigator has reported the data tabulated below. It is known that such data can be modele...

A: Solution:

Q: In 2006, the average household debt service ratio for homeowners was 14.35. The household debt servi...

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Q: Car inspection: Of all the registered automobiles in a city, 11% fail the emissions test. Fourteen a...

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Q: TABLE A shows the number of success data obtained from a standard and new procedure of bio engineeri...

A: Given : Claim : the percentage of new procedure is better than the standard procedure

Q: Advertisement ($'000)   Sales ($'000) 1068    4489 1026    5611 767      3290 885      4113 115...

A: In this case, advertisement (x) is the independent variable and sales (y) is the dependent variable.

Q: Required: 1. Compute a materials price variance for the plates purchased last month and a materials ...

A: Solution: 1)     AP = $28,200 ÷ 12,000 plates = 2.35 Per plate AQ 12000   SP (Given) 2.5   ...

Q: Fewer young people are driving. In year A, 65.9% of people under 20 years old who were eligible had ...

A: Given that, For year A, P hat = 0.659, For year B, P hat = 0.457, n = 1600 (a)At 95% confidence, wha...

Q: Consider the following two-parameter normal family with PDF 1 f(x; μ, σ) = - o 0. V2no /2n0 Find th...

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Q: Write each product in the form nPn: a) (6)(5)(4)(3)(2)(1) =

A: Given that (6)(5)(4)(3)(2)(1) We have to write above in the form of permutation as nPn 

Q: QUESTION 11 A random sample of 40 adults has a mean annual earnings of $3120. Assume the population ...

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Q: The area under the curve of the alpha region of a two-tailed Chi-Square has more area on the left ta...

A: Here use some basic of chi square distribution 

Q: Why is normal distribution important in statistics and in everyday life?

A: Answer Given normal distribution important in statistics and in everyday life

Q: ample 38. The life of the bulbs produced by Companies A and B are given below : Length of life (in h...

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Q: An internet company conducts a global consumer survey to help multinational companies understand dif...

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Q: When applying one-way analysis of variance (ANOVA), all the following are key assumptions that shoul...

A: Solution.  

Q: Words:O QUESTION 3 In a consumer reports article, the magazine reported that 207 of 316 chicken brea...

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Q: Q1: The data in the following table are the mathematic degrees of 150 pupil Mathematic 10-19 20-29 3...

A: Answer: This question some options are missing don't worry am answered From given frequecny distribu...

Q: The average return of a risky portfolio is 10.5% per year with a stan- dard deviation of 18%. If ret...

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Q: f all participants in a repeated measures research study show roughly the same difference between tr...

A: Hypothesis test is conducted to check the difference. To check mean differences we use either Z or T...

Q: Prepare a 2x 2 table from the following information and calculate Yule's Coefficient of Association ...

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Q: The following frequency distribution shows the number of crimes committed in a sample of 100 urban n...

A: Given : Number of crimes                                    Frequency of Neighborhoods              ...