Below are the number of defects found in a mobile phone circuit board and the number oftelephones that have such defects on it. At the 10% significance level, test whether thedistribution is compatible with the pisson distribution.Numberofdefects01234Numberof circuitboards26+3026-301262

Answered: Image /qna-images/answer/1a82e96a-0d70-49aa-9f1d-514fcbbadc81.jpg

Answered: Below are the number of defects found…

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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Are people born in certain seasons more likely to be allergic to dust mites? Research suggests this might be true. The table below gives the birth seasons of 500 randomly selected people who are allergic to dust mites, along with the proportion of births in the general population for each season. Do these data provide convincing evidence that the distribution of birth season is different for people who suffer from this allergy? Number of allergy sufferers Proportion of births in general population Birth Season Winter 117 0.30 Spring 105 0.22 Summer 145 0.24 Fall 133 0.24
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
Aleks spins a 9 sided spinner 56 times. Each of the nine sides has a different colour on it. He records the number of times that he spins the colour purple. Is it reasonable to approximate this distribution with a normal distribution? Give a reason.
Is the distribution of marital categories in the GSS representative of their distributions in the population? Let’s assume that in the U.S.: married = 48%, widowed = 6%, divorced = 12%, separated = 2%, never married = 32%. In the 2018 GSS, MARITAL is coded: 1=married, 2=widowed, 3=divorced, 4=separated, and 5=never married. Interpret the output and provide the output from this test as a part of your answer. Discuss your interpretation of the results using APA format. 1.) Assumption? 2.) Level of measurement? 3.) Null hypothesis? 4.) Research hypothesis? 5.) Select the sampling distribution and establish the critical region? 6.) Compute the test statistics? 7.) Interpret the results using APA format? *Use the graphs inserted below in images.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% Observed Number of Households in the Community 106 112 37 91 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…
Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Assume that the distributions for each state are normal and that all variances are equal. Arkansas 4.8 4.9 5.0 5.4 5.4 5.4 5.6 5.6 5.6 5.9 6.0 6.1 California. 1.5 3.7 4.0 4.5 4.9 5.1 5.3 5.4 5.4 5.5 5.6 5.6 Texas. 5.6 5.8 6.6 6.9. 6.9 6.9 7.1 7.3 7.5 7.6 7.7 7.7
A movie theater company wants to see if there is a difference in the average price of movie tickets in Chicago and New York City. They sample 20 ticket stubs from Chicago and 25 from New York City. Test the claim using a 1% level of significance. Assume the population variances are unequal and that movie ticket prices are normally distributed. Give answer to at least 4 decimal places. Chicago 9 9 7 11 10 10 8 69 6 0 10 11 11 10' 12 10 9 10 12 8 8 New York City 10 14 10 13 9 14 12 14 12 9 11 12 Mean Variance Observations Hypothesized Mean Difference 284 Test Statistic = p-value = 8 t-Test: Two-Sample Assuming Unequal Variances 14 12 11 13 9 12 7 Check Appver 11 12 14 12 6 Chicago 9.5 2.4736842105263 20 0 df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Choose the correct sign for the alternative hypothesis. 42 Ho: 41 = 42 Η; με ον 112 Based on the hypotheses, find the following: -3.0383993175306 0.00203988 2.4185 0.00407976 2.6981 New York City 11.24…
A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same. Click here to view the table, Click here to view the table of critical values of the chi-square distribution. O B. H,: The distribution of colors is at most as uniform as stated by the manufacturer. H,: The distribution of colors is more uniform than stated by the manufacturer. C. Ha: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. O D. H,: The distribution of colors is not the same as stated by…
The average retirement age in America is 62 years old. Do small business owners retire at an older average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 73, 55, 72, 67, 56, 66, 56, 55, 74, 65, 62, 72, 75 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho ? ◇ Select an answer H₁: ? ✨ Select an answer ✰ c. The test statistic? = your answer to 3 decimal places.) d. The p-value = to 4 decimal places.) e. The p-value is ? ✨ a (please show (Please show your answer f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly older than 62 at a = 0.01, so there is sufficient evidence to conclude that the population mean retirement age for…

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