# Baseball Basketball Golf Soccer Tennis Ping-Pong Volleyball Softball7.020.9Diameter21.84.09.77.423.94.365.7Circumference68.522.012.630.523.275.113.533.54780.1477.9212.27148.141.6179.6Volume5424.6

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Sports Diameters (cm), circumferences (cm), and volumes (cm3) from balls used in different sports are listed in the table below. Is there sufficient evidence to conclude that there is a linear correlation between diameters and circumferences? Does the scatterplot confirm a linear association?

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Step 1

Correlation coefficient:

Null hypothesis: There is no correlation between diameters and circumference.

Alternative hypothesis: There is correlation between diameters and circumference.

The correlation coefficient between the old ratings and new ratings is obtained as 0.9999995 using the EXCEL formula, “=CORREL(A2:A9,B2:B9)”.

Step 2

T-value:

The value of t-statistic is calculated as given below:

Step 3

p-value:

Using the EXCEL formula, p-value is obtained as 0.0000 (rou...

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