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Arisa [49]
3 years ago
13

We are continuing to study the difference in average time for completion for the two matching schemes. However, this time we had

30 individuals participate. The shapes and cutouts are all the same color (treatment s) The shapes and cutouts are different colors (treatment d) For each participant, the treatment s - treatment d was found. The 95% CI was (-4.617, -9.383). Complete the interpretation statement. "We are 95% confident that the time to completion for the same color method is between 4.617 to 9.383 than the different color method."
Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0

Answer:

We are 95% confident that the time to completion for the same color method is between 4.617 <u>less</u> to 9.383 <u>less</u> than the different color method.

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence for the difference in the completion time of treatment is<em> and </em>d<em> is,</em>

<em>CI</em><em> = </em>(-4.617, -9.383)

The parameter of the study is defined as:

treatment_<em>s - </em>treatment_<em>d </em>

Consider the 95% confidence interval, (-4.617, -9.383). The confidence interval consists of all negative values.

This implies that the difference between the completion time of treatment <em>s</em> and <em>d</em> is less than 0, i.e. the completion time of treatment <em>s</em> is less than that for treatment <em>d</em>.

Thus, the complete statement is:

"We are 95% confident that the time to completion for the same color method is between 4.617 <u>less</u> to 9.383 <u>less</u> than the different color method."

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1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?
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1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

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  • y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 3 = ⅓(6) + 5 -> 3 = 7, which is false.
  2. 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
  3. -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
  4. 3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

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So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
  2. 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
  3. 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
  4. 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

3 0
2 years ago
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