Questions 5 and 6 ask to calculate the probability.

C Chegg eReader X @ Homepage - MATH_11 X @ Exercise 13-15 - MATI X @ Homepage - MATH_11 x | Applet for simulation x Normal Probability Ca x b Search results for 'You x + > C A prairiestate.desire2learn.com/d21/le/content/110226/viewContent/1554362/View Update : Your class results should suggest that even though sample values vary depending on which sample you happen to pick, there seems to be a pattern to this variation. To investigate this pattern more thoroughly, however, you need more samples. Because it is time- consuming (and possibly fattening) to literally sample candies, you will use technology to simulate the sampling process. To perform these simulations, you need to assume that you know the actual value of the parameter. Let us suppose that 45% of the population of Reese's Pieces candies is orange ( = 0. 45 ) and consider a simple random sample of size n = 75 from this. a. According to the Central Limit Theorem, how will the sample proportion of orange candies vary from sample to sample? Describe not only the shape of the distribution but also its mean and standard deviation. The Central Limit Theorem predicts the sample proportion of orange candies will have a distribution that is... uniform (flat) . approximately normal exactly normal symmetric with two peaks D View Feedback Question 2 1 / 1 point The CLT predicts the sampling distribution will have a mean = ___ (round to three decimal places) Answer: 0.450 Question 3 0 / 1 point The CLT predicts the sampling distribution will have a standard deviation = ___ (round to three decimal places) Answer: 0.5744C Chegg eReader x @ Homepage - MATH_11 X Exercise 13-15 - MATI X @ Homepage - MATH_11 x 3 Applet for simulation x Normal Probability Ca x b Search results for 'You x + > C A prairiestate.desire2learn.com/d21/le/content/110226/viewContent/1554362/View Update : 0.22 0.28 0.34 0.39 0.45 0.51 0.56 0.62 0.68 D View Feedback Question 5 0 / 1 point c. Calculate the probability that a sample proportion of orange candies will be less than 0.4. Round your answer to 4 decimal places Answer: 0.19 Question 6 0 / 1 point d. Calculate the probability that a sample proportion of orange candies falls between 0.35 and 0.55 (within +0.10 of 0.45). Round your answer to 4 decimal places Answer: 0.92 Question 7 0 / 1 point e. Use the simulation at http://www.rossmanchance.com/applets/OneProp/OneProp.htm?candy=1 to simulate 500 sample proportions from a population of 45% orange candies and n = 75. Count how many proportions fall within 10.10 of 0.45 (between 0.35 and 0.55). You may want to use the "as extreme as" line to find the proportions not within 0.35 and 0.55 and then subtract from 1. The proportion between 0.35 and 0.55 is approximately __ Answer: 460