In a' cross-breeding experiment with plants at certain species 240 offspring were classified into 4 classes with respect to the structure of their leaves as follows : Class || II IV Total Frequency : 21 127 40 52 240 According to theory of heredity, the probabilities of the four classes should be in the ratio 1:9 :3:3. Are these data consistent with theory ? (Use 5 % Value of for 3df =7.82)
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- A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal . The value of the test statistic is A) 3.6 B) 1.8 C) 0.45Below is the summary A tutorial school has been running IELTS mock examination for many years. presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 5 2 5 7 15 8 10 3 A report presented by this tutorial school 5 years ago indicated that the population mean score of IELTS mock examination was 7.05 points and ihe population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part…only c A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 5 7 15 8 10 9 3 A report presented by this tutorial school 5 years ago indicated that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii)…
- In order to compare the life expectancies of three different brands of tires, 5 tires of each brand were randomly selected and were subjected to standard wear-testing procedures. Information regarding the three brands is shown below. Stone Bridge Michelle Nice Year Mean mileage (in 1000 miles) 42 46 41 Sample variance 3 2 5 Sample Size 5 5 5 Use the above data and test to see if the mean mileage for all three brands of tires is the same. Let α = .05. Complete the ANOVA table and show the details of calculation. a) State the null and alaternative hypotheses to be tested. b) Complete the table. The null hypothesis is to be tested at 95% confidence. You need to show all calculations. What do you conclude? Source of variation SS df MS F F critcal value Between Treatment SSTR= MSTR= Within Treatment SSE= MSE= Total SST=In a previous poll, 39% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 422 of 1145 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the x = 0.01 significance level. Because npo (1-Po) = 272.4 > 10 and the sample size is the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: P = versus H₁: ▼ V (Type integers or decimals. Do not round.) Find the test statistic, Zo- C less than 5% of the population size, and the sample is given to be random, the requirements for testing Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Is there sufficient…Fifteen years ago, a complete survey of all undergraduate students at a large University indicated that the average student smoked 7.7 cigarettes per day. Th director of the student health center wishes to determine whether the incidence of cigarette smoking at his University has lessened over the fifteen year period. He obtains the following results (in cigarettes smoked per day) from a random sample of 9 students. 6.1, 9.2, 5, 6.3, 4.8, 3.2, 7.6, 8.1, 9. Test the null hypothesis at the .05 level significane.
- Is there an association between daily screen time and exercise habits in high school students? Mia selects a random sample of 123 high school students and categorizes them into 1 of 3 categories of screen time and whether they exercise. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between daily screen time and exercise habits in high school students.Ha: There is no association between daily screen time and exercise habits in high school students.H0: There is no association between daily screen time and exercise habits in high school students.Ha: There is an association between daily screen time and exercise habits in high school students.H0: There is no difference in the distribution of daily screen time and exercise habits in high school students.Ha: There is a difference in the distribution of daily screen time and exercise habits in high school students.H0: There is a…Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th: Friday the 13th: 10 10 13 11 13 69 11According to the Bureau of Transportation Statistics, on-time performance by airlines is described as follows: Action % of time On Time National Aviation System Delay Aircraft arriving late 71 9. 10 Other (weather and other conditions) 10 When a study was conducted it was found that of the 211 randomly selected flights, 150 were on time, 19 were a National Aviation System Delay, 21 arriving late , 21 were due to weather. Perform a test to see if there is sufficient evidence at a = 0.10 to see if these differ from the governments statistics. The correct hypotheses are: O Ho: The sample is a good fit to the Bureau of Transportation Statistics. HA: The sample is not a good fit to the Bureau of Transportation Statistics. (claim) O Ho: The sample is not a good fit to the Bureau of Transportation Statistics. HA: The sample is a good fit to the Bureau of Transportation Statistics. (claim) O Ho: The sample and the Bureau of Transportation Statistics are independent. HA: The sample and the…
- 2. A principal of high school was concerned with amount of time her students devote to working at after-school jobs. She randomly selected 25 students, obtained their working hours for 1 week and computed x = 12.5 hours and s = 4.5 hours. She claims that her students work significantly more than the mean of 10.7 hours from a study conducted by the National Association of State High School Association. Test her claim by using the 5% level of significance.A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ?2 = 42.3. In a different section of Chaco Canyon, a random sample of 19 transects gave a sample variance s2 = 46.9 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. Find a 95% confidence interval for the population variance. (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)- 19.96 What are the degrees of freedom? -18 (c) Find or estimate the P-value of the sample test statistic. P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005…Identify the correct null hypothesis (from the below choices) for each: 1. A study wished to see if husbands or wives are more satisfied in their marriage. They selected 100 married couples and asked both the husband and wives to rate their satisfaction on a scale of 1 to 10. [Select] 2. A study wished to see if husbands or wives are more satisfied in their marriage. They selected a 100 married men and 100 married women and asked them rate their satisfaction on a scale of 1 to 10. [Select] 3. A study wished to see if husbands or wives are more satisfied in their marriage. From a previous study the average score (from 1 to 10) of wives was 6.5. They selected a sample of 100 married men and asked them to rate their satisfaction on a scale of 1 to 10. [Select]