Fit a Poisson distribution to the following data and test the goodness of fit at 5% level of significance:
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A: Test is that whether the bag of colored candies follows the distribution stated by the manufacturer.
Fit a Poisson distribution to the following data and test the goodness of fit at 5% level of significance:
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- Test the claim of the actual distribution. Draw a bell shaped curve using the classical or p vaule approach.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 the a = 0.05 level of significance. Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Observed Distribution of Colors B. Ho: 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. Colored Candies in a bag C. None of these. Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 60 65 55 63 78 65…Phyllodes tumors of the breast are rare tumors that represent less than one percent of growths in the breast. Some researchers presented characteristics of phyllodes tumors in an article. The following table provides summary statistics for the sizes, in millimeters (mm) of independent samples of benign and malignant phyllodes tumors. Suppose that these tumor sizes are normally distributed. Use the nonpooled t-test to answer the following: At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, malignant phyllodes tumors are larger than benign phyllodes tumors? a. Hypotheses: H0: ___________________ Ha: __________________________ b. Compute the test statistic: c. Determine the p-value. d. Reject null? e. Step 6: Interpret your result in a sentence
- A poll of 1188 Americans showed that 46.8% of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.10 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses. Ho: P = 0.5 H₁: p < 0.5 (Type integers or decimals. Do not round.) Identify the test statistic. z = (Round to two decimal places as needed.)A statistics teacher claims that, on the average, 5% of her students get a grade of A, 15% get a B, 35% get a C, 30% get a D, and 15% get an F. The grades of a random sample of 120 students were recorded. The following table presents the results. Test the hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.025 level of significance and the p-value method with the TI-84 Plus calculator. Grade A, 9 observed, grade B, 4 observed, grade C, 48 observed, grade D, 37 observed, grade F, 22 observed. What is the p-value?The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5 Construct a 99% confidence interval for the mean amount of juice in all such bottles. Assume an approximate Normal distribution.
- A systematic sample of 100 pages was taken from a Concise Oxford Dictionary and the observed frequency distribution of foreign words per page was found to be the following : 1 3 4 6. No. of foreign words per page : Frequency: 48 27 12 7 4 1 1 Fit a Poisson distribution. Also compute the variance of the fitted distribution.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 the a = 0.05 level of significance. E Click the icon to view the table, Question Help Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by th O B. Ho The distribution of colors is the same as stated by H,: The distribution of colors is not the same as stated Observed Distribution of Colors O C. None of these. Colored Candies in a bag Compute the expected counts for each color. Frequency Color Frequency Claimed Proportion Brown Yellow Red Blue Orange…To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.025 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the table of data. ... Which conditions must be met by the sample for this test? Select all that apply. D A. The sampling method results in an independent sample. - X O B. The sample size must be large. c. The sampling method results in a dependent sample. Table of height data YD. The sample size is no more than 5% of the population size. Height of Father, X, Height of O Son, Y LE. The differences are normally distributed or the sample size is large. 71.1 76.2 Let d, = X, - Y,. Write the hypotheses for the test. 68.8 72.3 67.9 70.3…
- In a study using 14 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is A.) a standard normal distribution. B.) at distribution with 13 degrees of freedom. C.) at distribution with 14 degrees of freedom. D.) at distribution with 15 degrees of freedom. 1.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…
