A researcher is investigating whether a new fertilizer affects the yield of tomato plants. As part of an experiment, 20 plants will be randomly assigned the new fertilizer and 20 will be assigned the current fertilizer. The mean number of tomatoes produced per plant will be recorded for each fertilizer, and the difference in the sample means will be calculated. Which of the following is the appropriate inference procedure for analyzing the results of the experiment?a)A matched-pairs t-interval for a mean differenceb)A two-sample t-interval for a difference between sample meansc)A two-sample t-interval for a difference between population meansd)A one-sample t-interval for a sample meane)A one-sample t-interval for a population mean

The correct answer is (c) option.

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Correct option is (c).

Step-by-step explanation:

The experiment is conducted to determine whether a new fertilizer affects the yield of tomato plants.

The procedure involves randomly assigning the new fertilizer to 20 plants and the other 20 will be assigned the current fertilizer.

Then the mean number of tomatoes produced per plant will be recorded for each fertilizer, and the difference in the sample means will be calculated.

The collected sample data will then be used to make conclusion about the population.

The researchers main aim is to determine whether the new fertilizer is effective or not, i.e. if on using the new fertilizer the yield of tomatoes increases or not.

So, the parameter under study id the difference between tow population means.

To make inferences about the experiment the researcher can construct a two-sample t-interval for a difference between population means. The confidence interval has a certain specific probability of including the true parameter value.

Thus, the correct option is (c).

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

the answer is $42.96

step-by-step explanation: