Remember back to Tess Tastypop. She tasted Dr. Pepper 3 times and each time she had...
- Remember back to Tess Tastypop. She tasted Dr. Pepper 3 times and each time she had a probability of liking Dr. Pepper, which was 0.75. Each taste was independent, and we said that the count of the number of likes followed a Binomial Distribution. I observed Tess drinking the Dr. Pepper 3 times over 100 trials and recorded the number of likes for each trial. I ended up with the frequencies shown below. Run a chi-square analysis that will test the goodness of fit to the binomial distribution. The expected frequencies under the null hypothesis are a binomial (That is, the expected counts should use the probabilities of the number of likes that are calculated using the binomial formula). Therefore, in order to get the expected probabilities, you must calculate, P(X=0), P(X=1), P(X=2), and P(X=3) using a binomial with n=3 and p=.75. The data are given in Tess.sav
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Remember back to Tess Tastypop. She tasted Dr. Pepper 3 times
and each time she had...
Problem 8 Problem Statement Gazelle has developed 7 new items for her designer auto parts business, and she wants to do a quick marketing test. She recruits 200 subjects, and she presents the 7 i...
Problem 8 Problem Statement Gazelle has developed 7 new items for her designer auto parts business, and she wants to do a quick marketing test. She recruits 200 subjects, and she presents the 7 items to each customer. She then records the number of items that they decide to purchase, ending up with this data: Sales Count Customers 15 59 46 26 13 3 200 6 Total Thus, there were 5 customers who purchased no items, 15 customers who purchased...
The name given to goodness of fit test was derived based on the hypothesis tested and...
The name given to goodness of fit test was derived based on the hypothesis tested and how good the observed frequencies fit a given pattern. To make a goodness of fitness test, the sample size should be large enough so that the expected frequency for each category is at least 5. There are four commonly used goodness of fit tests: The Chi-Square, Kolmogorov-Smirnov, Anderson-Darling, and Shipiro-Wilk. Observed frequencies, denoted by O, are counts made from experimental data - whereby you...
A doctor keeps track of the number of babies she delivers in each season. She expects...
A doctor keeps track of the number of babies she delivers in each season. She expects that the distribution will be uniform (the same number of babies in each season). The data she collects is shown in the table below. Find the test statistic, xã for the chi-square goodness-of-fit test. Round the final answer to three decimal places. (0-E) x - Σ E Season Expected Observed Spr 48 43 Summ 48 Fall 48 67 Wint 48 35 47 Provide your...
Suppose you flip a coin 15 times and let x be the discrete random variable of...
Suppose you flip a coin 15 times and let x be the discrete random variable of the number of heads obtained. Use the binomial distribution table to find each of the following probabilities. (A) p(exactly 8 heads)= (b) p(at least one head)= (c) P(at most 3 heads)=
Lab 12.1 Performing a Goodness of Fit Test This activity will involve of M&M's to the...
Lab 12.1 Performing a Goodness of Fit Test This activity will involve of M&M's to the expected color distribution that is advertised by the manufacturer. Do you think the advertised color distribution is accurate? How can you decide? comparing the observed color distribution in a bag For this activity, you will need a bog of M&M's in the traditional colors (no holiday or special packs). 1. Open your bag of M&M's and count the number of M&M's. Number of M&M's...
not precalc- stat #2. Use the Minitab to simulate 10,000 rolls of two dice. Find the...
not
precalc- stat
#2. Use the Minitab to simulate 10,000 rolls of two dice. Find the number of times that the sum of the two dice is exactly 7. Based on that result, use the relative frequency approach to estimate the probability of getting a 7 when two dice are rolled. Compare this probability to the true probability and also compare this probability to your estimated probability in #1 when you rolled the dice 1000 times. What do you think...
help with d,e,f,g,h,i A die is rolled 120 times to see if it is fair. The...
help with d,e,f,g,h,i
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.05. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Ex Frequency of Dice Values Outcome Frequency Expected Frequency 29 20 2 23 20 3 17 20 4 10 20 5 23 20 С...
Page of 12 Binomial Experiments Previously, we learned about binomial experiments. A binomial experiment consists of...
Page of 12 Binomial Experiments Previously, we learned about binomial experiments. A binomial experiment consists of n independent trials, each having two possible outcomes: success, and failure. In addition, we define p to be the probability of success in one trial, and x is the number of successes in n trials. The probability of obtaining x successes is denoted P(x). The formula for computing this is P(x) = C:p. (1 - p)"-* In this lesson, we use technology rather than...
Edith Educationer has a real problem with children’s television programs. She believes there are too many...
Edith Educationer has a real problem with children’s television programs. She believes there are too many commercials in them. To study this, she collects a sample of 500 children’s programs (n = 500) and counts how many commercials are on during the program. The frequency count of programs with the number of commercials is found below: Commercials, X 8 9 10 11 12 Frequency 50 75 150 125 100 P(X) Complete the table to produce the general discrete probability distribution....
A student completely guesses on every question on a 3-problem multiple choice quiz in which each...
A student completely guesses on every question on a 3-problem multiple choice quiz in which each question has five possible answers (p(correct on any one problem) = 0.20)). Let X be the number of problems that the student gets correct out of 3. Blank 1: For this to be binomial, BINS must be satisfied. Are there two outcomes (yes or no)? Are trials independent (yes or no)? Is this out of a fixed number of trials (identify n with a...
Problem 8 Problem Statement Gazelle has developed 7 new items for her designer auto parts business, and she wants to do a quick marketing test. She recruits 200 subjects, and she presents the 7 items to each customer. She then records the number of items that they decide to purchase, ending up with this data: Sales Count Customers 15 59 46 26 13 3 200 6 Total Thus, there were 5 customers who purchased no items, 15 customers who purchased...
A doctor keeps track of the number of babies she delivers in each season. She expects that the distribution will be uniform (the same number of babies in each season). The data she collects is shown in the table below. Find the test statistic, xã for the chi-square goodness-of-fit test. Round the final answer to three decimal places. (0-E) x - Σ E Season Expected Observed Spr 48 43 Summ 48 Fall 48 67 Wint 48 35 47 Provide your...
Lab 12.1 Performing a Goodness of Fit Test This activity will involve of M&M's to the expected color distribution that is advertised by the manufacturer. Do you think the advertised color distribution is accurate? How can you decide? comparing the observed color distribution in a bag For this activity, you will need a bog of M&M's in the traditional colors (no holiday or special packs). 1. Open your bag of M&M's and count the number of M&M's. Number of M&M's...
not
precalc- stat
#2. Use the Minitab to simulate 10,000 rolls of two dice. Find the number of times that the sum of the two dice is exactly 7. Based on that result, use the relative frequency approach to estimate the probability of getting a 7 when two dice are rolled. Compare this probability to the true probability and also compare this probability to your estimated probability in #1 when you rolled the dice 1000 times. What do you think...
help with d,e,f,g,h,i
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.05. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Ex Frequency of Dice Values Outcome Frequency Expected Frequency 29 20 2 23 20 3 17 20 4 10 20 5 23 20 С...
Page of 12 Binomial Experiments Previously, we learned about binomial experiments. A binomial experiment consists of n independent trials, each having two possible outcomes: success, and failure. In addition, we define p to be the probability of success in one trial, and x is the number of successes in n trials. The probability of obtaining x successes is denoted P(x). The formula for computing this is P(x) = C:p. (1 - p)"-* In this lesson, we use technology rather than...
A student completely guesses on every question on a 3-problem multiple choice quiz in which each question has five possible answers (p(correct on any one problem) = 0.20)). Let X be the number of problems that the student gets correct out of 3. Blank 1: For this to be binomial, BINS must be satisfied. Are there two outcomes (yes or no)? Are trials independent (yes or no)? Is this out of a fixed number of trials (identify n with a...
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