a. Suppose a sample of 150 families, with exactly three children, is selected from a larger population offamilies with data as follows:Number of female children per familyFrequency of families2314586216Assuming that genders are independent and probabilities of a male or female child are equal, test thehypotheses, at a = 0.05: Ho: The data follows a binomial distribution versus H,: The data does notfollow a binomial distribution. Include a critical value in your test.

The categorical variable is family. It has 4 categories. We have to test whether the data follows a…

Answered: a. Suppose a sample of 150 families,…

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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When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
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A university wanted to see whether there was a significant difference in age between its day staff and evening staff. A random sample of 35 staff members is selected from each group. The data are given below. Test the hypothesis that there is no difference in age between the two groups. Use a =0.05. Day Staff 22 24 24 23 19 19 23 22 18 21 21 18 18 25 29 24 23 22 22 21 20 20 20 27 17 19 18 21 20 23 26 30 25 21 25 Evening Staff 18 23 25 23 21 21 23 24 27 31 24 20 20 23 19 25 24 27 23 20 20 21 25 24 23 28 20 19 23 24 20 27 21 29 30
1. A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was N = 30 (n = 10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports.Refer to Exhibit 1. What are the numerator and denominator degrees of freedom for the F-test? A: for numerator and 26 for denominator. 2. Refer to Exhibit 1. The sum of squared errors is SS Error = 100. What is the value of the Mean Square Error (MS Error)? A: 2.85 3. Refer to Exhibit 1. The sum of squares for between groups is SS Between Groups = 60. What is the Mean Square for between groups (MS Between Groups)? A: 20 4. If the significance level = 0.05, what is the conclusion?Using the a = 0.05 significance level, what is the conclusion? A: The null hypothesis is rejected: the means are significantly different. 5. A study compared testosterone levels among athletes in four sports: soccer,…
In case of hypothesis testing in places where population variances are unknown and sample size is large (nl and n22 30), sample variances can be a good approximation of population variances. Which best describe this statement? Select one: O a. None of the choices O b. The statement is true c. The statement is false O d. Not enough data to support the statement O e. The statement is neither true nor false
A survey is conducted to determine if there is a difference in the proportion of students, parents, and What are the appropriate hypotheses to determine if the distribution of response differs among these three populations? teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table. O Ho: There is a difference in the distribution of responses among these three populations. Hg: There is no difference in the distribution of Student Parent Teacher responses among these three populations. 12 O Ho: There is no difference in the distribution of Yes 24 Volunteer? responses among these three populations. Hg: There is a difference in the distribution of No 21 13 response among these three populations. Họ: There is no association between the type of person who is surveyed and the response. Hạ: There is an association between the type of person who is surveyed…
The data summarized in the accompanying table is from a paper. Suppose that the data resulted from classifying each person in a random sample of 48 male students and each person in a random sample of 88 female students at a particular college according to their response to a question about whether they usually eat three meals a day or rarely eat three meals a day. Male Female Usually Eat 3 Meals a Day 25 35 Rarely Eat 3 Meals a Day 23 53 Is there evidence that the proportions falling into each of the two response categories are not the same for males and females? Use the x² statistic to test the relevant hypotheses with a significance level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.) x² = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females. O…
A group is interested in seeing if the mean gas mileages from two different brands of gasoline are the same. To test this, they sampled 23 cars that used Type A gas and 17 cars that used Type B gas. From these samples, they calculated the following descriptive statistics (in terms of miles per gallon): Type A Gas Type B Gas ?n 23 17 ?⎯⎯⎯x¯ 29 29 ?s 4 5 (Assume the samples are independent and that the populations are normally distributed with unknown mean and standard deviation) (a) Is there significant evidence to suggest that there is a difference in gas milage? Test this at the ?=0.05α=0.05 significance level. State your conclusions regarding H0 (b) Calculate a 95% confidence interval for the true difference of the means. State your conclusions after calculating the interval.
A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: Expected counts: The researcher would like to test these hypotheses: H0: There is no difference in the distribution of responses among these three populations.Ha: There is a difference in the distribution of responses among these three populations. The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test? χ‑2 = 0.19, df = 2χ‑2 = 0.19, df = 5χ‑2 = 0.44, df = 2χ‑2 = 0.44, df = 5
Q5. Diamond and Lauren are looking at data from two groups. Diamond decides to run her analysis using a two-tailed test, whereas Lauren uses a one-tailed test. Who is more likely to commit a Type I error? A.) They're equally likely B.) Lauren C.) Not enough information to answer D.) Diamond Q6. Which of the following are assumptions of an independent samples t-test? A.) heterogeneity of variance; independence B.) heterogeneity of variance; nonnormality of distributions C.) homogeneity of variance; dependence D.) homogeneity of variance; normality of distributions Q7. If I want to know the probability of a coin landing on heads, so I flip the coin 100 times and record what it lands on, I'm using which view of probability: A.) Analytical B.) Subjective C.) Frequentist D.) Computational
Assume that a simple random sample has been selected from a normally distributed population and test the given claim.A researcher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that x = 21.3 months and s = 5.7 months. Test the claim at the 0.05 significance level.State the claim in words: Convicted Burglars spend an average of 18.7 months in jail. Ho μ = 18.7 H1 μ ≠ 18.7 What calculator function is needed? p value = __________ Since p ________ α, ________________________ the null hypothesis. Final conclusion:
3

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