Spinning racquets P1.8 Tennis players often spin a racquet to decide who serves

Question

Spinning racquets P1.8 Tennis players often spin a racquet to decide who serves first. The spun racquet can land with the manufacturers label facing up or down. A reasonable question to investigate is whether a spun tennis racquet is equally likely to land with the label facing up or down. (If the spun racquet is equally likely to land with the label facing in either direction, we say that the spinning process is fair.) Suppose that you gather data by spinning your tennis racquet 100 times, each time record- ing whether it lands with the label facing up or down. a. What are the observational units? b. What is the variable? c. Is the variable categorical or quantitative?

Explanation / Answer

P1.8

(A) Here observational units are the face side of racquets when we toss it.

(B) Here variable is the number of times we get the label facing up out of 100 times.

(C) Here variable is catgorical here.

(D) Here as we know the probability of racquet coming up or down is 0.5 or half, so a coin toss will also produce the same result.

(E) Here typical value will come = 1354/2 = 677 heads and 677 Tails.

1.1.6

(a) Here long run proportion of Dwayne would be a parameter.

(b) Here 52.1% is an statistic.

(c) Here on expected we have to repeat the coin toss on 569 * 2 = 1138 times

(d) WIth each repertition we would track that how many times we will get the head on the coin.

(e) Here the typical value from a repetition of coin toss would be 546 or 547.

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