(a) Show that the 3 × 3 matrix p - (4) 1 1 >= is positive-definite for p > -1.

Q: Let to be a specific value of t. Use the table of critical values of t below to find to-values such…

A: (a). degree of freedom (df) =11P(t) = 0.025 gives = 2.20099(b). df is 18P(t) = 0.01 gives = 2.55238

Q: The average income tax refund for the 2009 tax year was $2956. Assume the refund p person follows…

A: Mean =$2956Standard deviation =$971

Q: As the sample size gets larger, what happens to the size of the correlation that is needed for…

A: We have given the following statementAs the sample size gets larger, what happens to the size of the…

Q: Based on a survey, 33% of likely voters would be willing to vote by internet instead of the…

A: p = 33% = 0.33n = 15q = 1 - p = 1 - 0.33 = 0.67

Q: Calculate SS, 0², and standard deviation for the following population of N = 5 scores: 6, 0, 4, 2, 3…

A: The individual data score is given as follows:60423The number of scores: .

Q: The records of a computer retail store show that out of the 50 customers who purchased a desktop…

A: Here the given information is,The records of a computer retail store show that out of the 50…

Q: What symbol is used for the arithmetic mean when it is a sample statistic? What symbol is used when…

A: The mean is a measure of central tendency which shows the average value of the data set.

Q: BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this…

A: It is given that Standard deviation, σ = 0.42Margin of error, E = 0.07Confidence level = 90%

Q: 8, 7, 10, 15, 8, 10 (a) Find the range. (b) Find the variance. (Give your answer correct to two…

A: The given data is:  871015810The objective is to find the range, variance, and standard deviation.

Q: Which one of the following is a good test statistic for the data: "Sanity check": test statistics…

A:

Q: The following function is probability mass function. -2 -1012 f(x) 1/9 2/9 3/9 2/9 1/9 x Determine…

A: x-2-1012f(x)1/92/93/92/91/9

Q: ordered a medium black coffee. They each measured the temperature (in °F) and got the following…

A: Given data: 141, 142, 147, 150, 155, 160, 175, 183, 183

Q: Consider a t distribution with 16 degrees of freedom. Compute P(−1.54<t<1.54). Round your answer to…

A: It is given that A t distribution with 16 degrees of freedom.

Q: Construct a frequency distribution and a relative frequency histogram for the data set using five…

A: 2,5,9,1,10,9,6,9,6,7,8,5,5,9,1,4,9,3,3,5,4,6,6,2,4,10,1,7,3,3,5,6,2,9,4,2sample size(n)=36No. of…

Q: The table below gives the number of elementary school children in 16 school districts in a…

A: Number of Elementary school students1132126029151777240024721050364015963110286126942500480011004400

Q: A survey provided the following data for 2022 students. Age Group 23 and under 24-26 27-30 31-35 36…

A: " since you have posted a question with multiple subparts, we will provide the solution to the first…

Q: A sample of 82 motels is selected from a large urban area and the price for a night of lodging for a…

A: n = 82 = 91 = 13

Q: (b) P(x < a) = 0.5 a = 2.5

A: It is given that a random variable x is best described by a uniform probability distribution with…

Q: Variable Y 24 20 16+ 12 8 A (3) 0 2 6 8 10 12 14 16 18 Variable X The slope of line (2) on the…

A:

Q: A sample of 82 motels is selected from a large urban area and the price for a night of lodging for a…

A: The z score is a statistical measurement that describes a value relationship to the mean of a group…

Q: After a researcher adds 6 points to every score in a sample, the standard deviation is found to be s…

A: The question is about change of origin.Introduction :Change of origin :If a no. is added /…

Q: Using continuity correction, probability of observing less than 10 successes. P(x 9.5) P(x 10.5) a)…

A: Probability of observing less than 10 successes

Q: 9. a. Obtain the linear trend equation for the following data on new checking accounts at Fair…

A: PeriodNew accounts120022143211422852356232724882509253102671128112275132801428815310

Q: The p-value for a two tailed test with sample size of 21 and test statistic t=1.835 is: a 0.081424 b…

A: Test is two tailed testsample size(n)=21Test statistic(t)=1.835

Q: . Give the confidence interval for the regression coefficient B4 by considering the following. 40…

A: Given,40 observations in the sample 90% confidence level4 predictor variables

Q: Suppose the following model describes changes in the civilian unemployment rate: AUER,…

A: Consider the following model that describes changes in the civilian unemployment rate,

Q: A normally distributed population has a mean of 450 and a standard deviation of 45. a. Determine the…

A:

Q: Martha’s Vineyard Marine Supply is a wholesaler for a large variety of boating and fishing…

A: MonthUnits of activityMaterial-Handling Department…

Q: -In some sample space we consider two events A and B. Let C be theevent that A or B occurs, but not…

A: the event C, which is defined as the event that A or B occurs, but not both, using only the basic…

Q: A set of n = 10 pairs of scores has X = 20, Y = 30, and XY = 74. What is the value of SP for these…

A: The provided information is as follows:The total number of observations is .

Q: e. When we say that an estimated regression coefficient is statistically significant, we mean that…

A: A statistically significant regression coefficient provides evidence that there is a meaningful…

Q: Find the 44th percentile, P44, from the following data

A: Arranging Observations in the ascending order:…

Q: Use the results of part (c) to compute the coefficient of variation. (Round your answer to the…

A: According to the given information we have to use the results of part (c) to compute coefficient of…

Q: Within what interval would you expect the sample mean to fall, with 98 percent probability?

A:

Q: Let Y, represent the ith normal population with unknown mean , and unknown variance of for i= 1,2.…

A: From the above given data the following solution is provided below:

Q: A swimmer, Sarah, hopes to compete in an upcoming meet. There are 8 team members eligible for the…

A: There are 8 team members eligible for the breaststroke event at the meet, but only 1 team member…

Q: Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or…

A: A geometric variable is a discrete random variable that counts the number of trials before a…

Q: Balls are randomly withdrawn, one at a time with- out replacement, from an urn that initially has N…

A: The number of ways you can select n white balls from N white balls is ince we want to find the…

Q: A sample of 104 motels is selected from a large urban area and the price for a night of lodging for…

A: n = 104Mean = 100SD = 13One motel charged $68 per night which is 13th percentile Another motel…

Q: Determine the original set of data. 1013 214479 3 355 57 8 401 Legend: 110 represents 10 The…

A: Stem and leaf plot are givenLegend 1|0 represents 10

Q: ory any clusters, gaps, or outliers in the histogram. Frequency Select all that apply. A. There is…

A: The histogram is given to us and want to figure out some properties like gaps, clusters and…

Q: 5-The portfolio of mutual fund consist of a large number of securities with unknown mean and…

A: To construct a 95% confidence interval for the mean portfolio returns of the mutual fund, we will…

Q: Construct a 90% confidence interval to estimate the population mean using the data below. x=22 n=16…

A: Solution-:Given: We want to construct a 90% C.I. to estimate the population mean?i.e. Find upper and…

Q: 1.12 It was noted in Section 1.2.1 that statisticians who follow the deFinetti school do not accept…

A: Given the statements:i. The Axiom of Countable Additivity implies Finite Additivityii. The Axiom of…

Q: An example in your text reported the following regression equation: predicted price = 10.35 +…

A: From the given information, the regression equation is,price = 10.35 + 0.477*weightHere, weight is…

Q: The breaking strength X of a certain rivet used in a machine engine has a mean 6500 psi and standard…

A: The provided information is as follows:The  is the breaking strength of certain rivet used in…

Q: For the following sample of n 0, 11, 5, 10, 5, 5 Drag blue rectangles onto the following graph to…

A: Given data : 0,11,5,10,5,5Now, we make frquency distribution.

Q: Construct a 90% confidence interval to estimate the population mean using the accompanying data.…

A: n=14,x¯=89,σ=25

Q: A set of n = 15 pairs of scores (X and Y values) has SSX = 4, SSY = 25, and SP = 6. What is the…

A: Given, n = 15 SSX = 4SSY = 25 SP = 6 We have to find the Pearson correlation for these data .Using…

Q: Is blood pressure discrete or continuous quantitaive variable? Why?

A: We can say a quantitative variable is discrete if it takes only finite and countable values.We can…