The candy company that makes M&M's claims that 10% of the M&M's it produces isgreen. Suppose that the candies are packaged at random in large bags of 200 M&M's.When we randomly pick a bag of M&M's, we may assume that this represents a simplerandom sample of size n= 200. Suppose we wish to test Ho: p= 0.10 versus Ha: p #0.10. Suppose that in the randomly selected bag of M&M's there are only 12 greenM&M's. Calculate the value of the large-sample z statistic. What is the value of thecorresponding P-value?A) P-value = 0.0297B) P-value =0.0593C) P-value = 0.06D) P-value = 0.3284%3D

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 223 numerical entries from the file and r = 48 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq <…
15.
the larger the sample size, the a. more important the observed differencd b. more likely we are to reject the null hypothesis c. less likely we are to reject the null hypothesis d. lower the Z score
In the US, 46.6% of all people have type O blood, 39.6% have type A blood, 10% have type B blood and 3.8% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 803 millionaires. What can be concluded at the significant level of ALPHA = 0.01. Round answers to 4 decimal places.1) State the hypotheses: 2) You drew 803 samples, and the observed frequencies are recorded below. Find the expected values. Blood Type ObservedFrequency ExpectedFrequency O 374 A 297 B 73 AB 59 The test-statistic for this data = The p-value for this sample = The p-value is greater than � less than (or equal to) � 3) Base on this, we should hypothesis As such, the final conclusion is that... Based on the sample data, there is sufficient evidence to claim that the distributions of blood types are not the same between the general population and the millionaires at…
1. Consider the golf ball example again using a completely randomized deign with a single factor (see section 10.2). However, this time we only hit each golf ball 5 times instead of 10 times. The golf balls are brands A, B, C, D. So, there are 4 brands, (4 treatments), and 20 sample distances. That is, k= 4 and n = 20. The data below gives the average distance means and standard deviations for the sample distances. Brand Sample Mean Sample Standard Deviations A 253.8 9.7570 263.2 5.4037 C 271.0 8.7178 262.0 7.4498 The average mean distance for all the 4 samples is 262.5 (this is x-bar). SST = 743.4 and SSE = 1023.6 Test the hypothesis that all the means are equal (this is the null hypothesis) against the alternative hypothesis that at least two means are different by doing the following: a. Calculate MST b. Calculate MSE С. Calculate F d. Using the table for F, find the rejection region e. Using alpha = 0.05, state whether you reject the null hypothesis or not.
A high school conducts a dependent sample experiment to test if there is a difference between the number of times students are absent in the fall and winter months. You have data for the following 5 students: STUDENT FALL WINTER 1 2 3 4 5 2 0 1 2 O What do you conclude about this school's absences? (Assume standard a = 0.05) 2 1 2 4 T O There is no difference between the Fall and Winter months. O There is a statistically significant difference between the Fall and Winter months. There is a difference but it is only somewhat statistically significant. There is not enough data to determine if there is a difference in absences.
read the following: An observational study differs from an experiment in that the random assign ment of treatments (i.e. agents, programs, procedures) to units is absent. As has been pointed out by many writers since Fisher (1925), this randomization is a powerful tool in that many systematic sources of bias are made random. If randomization is absent, it is virtually impossible in many practical circumstances to be convinced that the estimates of the effects of treatments are in fact unbiased. This follows because other variables that affect the dependent variable besides the treatment may be differently distributed across treatment groups, and thus any estimate of the treatment is confounded by these extraneous variables. can you rewrite it in a way i can understand, so simply the paragraph
The candy company that makes M&M's claims that 10% of the M&M's it produces are green. Suppose that the candies are packaged at random, and the small bags contain 25 M&M's. When we randomly pick a bag of M&M's, we may assume that this represents a simple random sample of size n = 25. Suppose that in a randomly selected small bag of M&M's, there are 5 green M&M's. What is the value of the standard error of p? 0.08 0.0063 0.0794 O 0.10
A group of AP Statistics students wanted to see if plain, peanut, and almond M&Ms have the same color distribution. To test this, students took a random sample of each type of M&M and classified the candies in the sample by color. They plan to carry out a chi-square test to decide if there is evidence that the color distributions are not the same for the three types of M&Ms. Red Blue Green Orange Brown Piain 20 18 15 10 14 12 Peanut 8 6 8 25 5 7 Almond 7 11 10 12 10 What is the expected count for green peanut M&Ms? А 25/47 (25x47)/47 (59x47)/59 (59x47)/207 В C D
One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 35 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 35 minutes for the cable technician to arrive. The customer asks a simple random sample of 4 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 39.l minutes with a standard deviation of 2.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.10 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision.
You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column variable and 4 categories in the row variable. You collect data from 553 subjects.What are the degrees of freedom for the χ2 distribution for this test? d.f. =
6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a seat belt. At x = 0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is greater than in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Ho and Ha- Choose the correct answer below. C. Ho: P1 2 P2 Ha: P1 P2 Ha: P1 SP2 B. Ho: P1 P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below…

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