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maxonik [38]
3 years ago
9

A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the

beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.
Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Answer:

(0.25 ; 21.75)

8.7 (1 decimal place)

Step-by-step explanation:

Net change in scores : X = 6,14,12,23,0

Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11

Sample standard deviation, s = 8.66 ( from calculator)

Sample standard deviation = 8.7( 1 decimal place)

Sample size, n = 5

The 95% confidence interval; we use t, because n is small

Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776

Xbar ± standard Error

Standard Error = Tcritical * s/√n

Standard Error = 2.776 * 8.66/√5

Standard Error = 10.751086 = 10.75

Lower boundary = (11 - 10.75) = 0.25

Upper boundary = (11 + 10.75) = 21.75

(0.25 ; 21.75)

The

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gregori [183]

The correct answer is y=-x+4​

Further explanation:

Given equation of line is:

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Comparing it with the standard point-slope form

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As the new line is parallel to given line it will also have m=-1 as slope of two parallel lines is equal

For finding b, we will put the point and value of m in standard form

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Hence the equation will be:

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The correct answer is y=-x+4​

Keywords: Slope, Equation of line, Point-slope form

Learn more about Point-slope form of equation of line at:

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Question 1 of 15
Mrac [35]

The function y = - 50x + 75 is linear. So, the correct option is (A).

<h3>Define linear function.</h3>

The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line. Here,

The line has a slope of m and a y-intercept of b.

The independent variable is "x."

The dependent variable is "y" (also known as f(x)).

Consider the equation y = - 50x + 75

Compared to the linear function equation, we get

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So, the function is a linear function with a constant change. The function will be linear at all points.

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