Question

this question is from the text book introduction to statistical investigations

chapter 1

that Harley was just guessing which cup to choose? Using an applet to simulate flipping a coin many times To really assess the typical values for the number of heads in 10 coin tosses (number of cor rect picks by Harley assuming he is guessing at random), we need to simulate many more outcomes of the chance model. Open the One Proportion applet from the textbook webpage. Notice that the probability of heads has been set to be 0.50. representing Harley guessing between the two cups. Set the number of losses to 10 and press the Draw Samples button. What was the resulting number of heads? Notice that the number of heads in this set of 10 tosses is then displayed by a dot on the graph. Uncheck the Animate box and press the Draw Samples button 9 more times. This will demonstrate how the number of heads varies randomly across each set of 10 tosses. Nine more dots have been added to your dotplot. Is a pattern starting to emerge Now change the Number of repetitions from 1 to 990 and press Draw Samples. The ap plet will now show the results for the number of heads in 1,000 different sets of 10 coin tosses. So each dot represents the number of times Harley chooses the correct cup out of 10 attempts assuming he is just guessing Remember why we conducted this simulation to assess whether Harley result (9 correct in 10 attempts) would be unlikely to occur by chance alone if he were just guessing between the pair of cups for each attempt 14. Locate the result of getting heads in the dotplot created by the applet. Would you co sider this an unlikely result in the tail of the distribution of the number of heide? 1. Based on the results of 1000 A likely that Harley would be very dijah will you conclude mesin 10 temps 69

Answer 1

graph on tossing the coin 10 times.

|Mean 4.900 13 SD 1.287 10 2 0 Number of heads rt 0

Graph on tossing the coin 1000 times.

30 Mean 4.913 SD 1.579 10 2 Number of heads 000 002 O0L 0

If we see the graph of tossing the coin 1000 times, we see that the most like scenario is getting 5 heads.
The chance of getting 9 heads is very very small and can be considered as an unlikely result.