Chapter 11.3, Problem 10Q

(a)

To determine

To find: The conclusion when you spin the actual spinner fifty times .

Answer to Problem 10Q

The maker’s claim is most likely true.

Explanation of Solution

Given:

Spin a five color spinner, which is divided into equal parts, five times and every time the spinner lands on red.

Calculation:

If on spinning the actual spinner $50$ times, the spinner land on red $9$ times.

Getting red $9$ times in $50$ spins corresponds to a proportion $\frac{9}{50}=\mathrm{0.18.}$

In the simulation, this result had a relatively frequency of $\mathrm{0.14.}$

In fact, most of the results are close to $\mathrm{0.20.}$

Because this result can easily occur by chance, you can conclude that the maker’s claim is most likely true.

Conclusion:

Hence, the maker’s claim is most likely true.

(b)

To determine

To find: The conclusion when you spin the actual spinner fifty times .

Answer to Problem 10Q

The maker’s claim is most likely false.

Explanation of Solution

Given:

Spin a five color spinner, which is divided into equal parts, five times and every time the spinner lands on red.

Calculation:

If on spinning the actual spinner $50$ times, the spinner land on red $19$ times.

Getting red $19$ times in $50$ spins corresponds to a proportion $\frac{19}{50}=\mathrm{0.38.}$

In the simulation, this result did not occur.

Because getting red $19$ times are highly unlikely to occur by chance, you can conclude that the maker’s claim is most likely false.

Conclusion:

Hence, the maker’s claim is most likely false.