Consider the following population model that satisfies the CNLRM assumptions: * = βX; + u particular assume that: s; ~ N (0,1) What is the mean and variance of ₁? 2 ΣΧ Ε (βι) = 0,6% = nΣα Στ > > E(βι) = 0,6% = nΣ ΣΧ 22 η 2* ΣΧ E F(β) = 1,6 = E Ε (βι) = 1,6 Cannot be determined with the information provided. - -

The quality characteristic of a product Y consists of three components X1, X2, and X3. The distributions of these components are normal with means 100, 2, 1 and variances 1, 1, 1 respectively. The specifications of the product are 90 ± 8. If Y= X1 + -7X2 + -9X3. Products that are below the lower specification limit are scrapped. Find the proportion of scrapped products = Ф(z).

We calculate the correlation between the percent of adult population fully vaccinated for COVID-19 and the COVID-19 death rate per 100,000 in 2021 for the states and territories of the United States (55 observations). We observe a correlation r=-0.3558 Test the hypothesis H_0: ρ=0 against H_a: ρ≠0 at the 99% level (α=.01)

Consider a randomized block design involving three treatments and two blocks. Define all variables. X1 X2 Treatment 1 2. 1 3 Let x, = 0 if ---Select-- v is in effect and 1 if --Select--- v is in effect. Write a multiple regression equation that can be used to analyze the data. E(y) =

Solve with R, please