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Naddik [55]
3 years ago
15

A hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. If t

he sample consists of 25 observations and the correlation coefficient is 0.60, what is the computed value of the test statistic? Round to two decimal places.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Answer:

3.60

Step-by-step explanation:

Data provided in the question:

level of significance = 0.05

Sample size , n = 25 observations

correlation coefficient, r = 0.60

Now,

The test statistic to compute whether the population correlation is zero is given using the formula :

t =\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}

on substituting the respective values, we get

test statics , t = \frac{0.60\times\sqrt{25-2}}{\sqrt{1-0.60^2}}

or

t = 3.5968 ≈ 3.60

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Find the new amount. explain <br><br><br>200 books; 75% decrease <br><br>160 bananas; 20% decrease
prohojiy [21]

Answer:

75% of 200 = 50; 20% of 160 = 128

Step-by-step explanation:

200 (0.75) = 150

200 - 150 = 50

160 (0.20) = 32

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CaHeK987 [17]

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3 years ago
Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
4 years ago
Carmen drew line A and line B in the two scatter plots shown. one scatter plot contains 12 points indicating a negative correlat
blondinia [14]

The true statement is that only line A is a well-placed line of best fit

<h3>How to determine the true statement?</h3>

The scatter plots are not given. However, the question can still be answered

The features of the given lines of best fits are:

<u>Line A</u>

  • 12 points in total
  • Negative correlation
  • Passes through the 12 points with 6 on either sides

<u>Line B</u>

  • 12 points in total
  • Positive correlation
  • Passes through the 12 points with 8 and 4 in either sides

For a line of best fit to be well-placed, the line must divide the points on the scatter plot equally.

From the given features, we can see that line A can be considered as a good line of best fit, because it divides the points on the scatter plot equally.

Read more about line of best fit at:

brainly.com/question/14279419

#SPJ1

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