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- Assume that samples have been randomly selected from normally distributed populations.A coach uses a new technique in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below. Athlete A B C D E F G H Time before training (seconds) 111.7 115.2 109.2 117.2 113.9 118.7 115.1 19.4 Time after training (seconds) 113.3 113.9 106.5 119 112.1 118.8 111.6 106.5 Using a 0.05 level of significance, test the claim that the training helps to improve the athletes' times for the 800 meters.Three university administer the same comprehensive examination to the receipients of MS degree in Business Statistics. From each institution, a random sample of MS receipients was selected, and these receipients were then given to the exam. The following tabel shows the scores of each student from the three universities Uni A Uni B Uni C 89. 60. 81 95. 95. 70 75 89 90 92 80 78 99 66 77 At a= 0.01 , test to see if there is a significant difference in the average scores of students from the three universities Answer needed ASAP.If you were to draw 15 random samples of 100 residents in a city you may get 15 different mean values simply by chance. These expected differences across samples may be defined as: a. a statistical effect b. sampling error c. random error d. probability
- In a city, according to a 1990 demographic report based on the census result, the average daily spending onfood per person is $75.In 2020, a random sample of 28 persons in the same city is selected and the daily spending ($) on food foreach interviewee is recorded as follow:55.0 59.5 62.5 65.5 68.5 69.0 70.0 70.0 82.0 82.583.5 85.0 86.0 86.5 86.5 87.0 87.0 87.0 89.0 92.593.0 94.5 94.5 96.0 98.0 102.5 108.5 110.5(a) Find the point estimate for the population mean daily spending on food per person in year 2020.(b) It is assumed that the spending is normally distributed. Construct a 90% confidence interval estimatefor the population mean daily spending on food per person in year 2020.(c) Is there sufficient evidence to conclude that the population mean daily spending on food per person in2020 is higher than 1990? Test at 1% level of significance. (State clearly the null hypothesis,alternatively hypothesis, rejection region, test statistics and conclusion.)About 7% of the population has a particular genetic mutation. 100 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 100. (Round to 2 decimal places if possible.)Three randomly selected households are surveyed. The numbers of people in the households are 2, 3, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 3, and 10. Construct a probability distributi table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n = 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportion target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 2,2 2,3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 D Construct the probability distribution table. Sample Proportion (1) Probability (2) (3) (Type an integer or fraction.) Choose the correct answer below. O A. The proportion of odd numbers in the population is equal to the mean of the sample proportions of even numbers. O B. The…
- Enumerate and explain each briefly the THREE (3) Distribution Factors/Parameters of a Sampling Distribution of a Statistic.A researcher is collecting individual data by asking visitors in a train station in a medium-sized town to fill in a questionnaire. It takes nearly 30 minutes to complete the survey questions. To encourage a higher participation rate, the researcher provides a small financial incentive that is enough to buy a sandwich. The researcher wants to use this sample to make predictions about the effect of using social media on health among the residents of the town. a. Explain the random sampling assumption, which is one of the Gauss-Markov assumptions for linear regressions. b. Do you think this assumption is satisfied in the sample collected by the researcher? Explain your answer in no more than 85 words.A task requires the completion of four activities. A teacher would like to know if differences in the sequence of the four activities results in different task completion times. The teacher selects three students and demonstrates the activities in random order to the students. Then each student completes the task with each of the activity sequences. The completion times are recorded. The following table shows the minutes for each student to complete each task. Assume that the populations from which the sample drawn are normally distributed. (use 2 digits after decimal point) Ayşe Sema Ahmet A 21 20.1 21.4 B 17.6 18.7 21.4 C 20 20.1 22.1 D 21.3 18.8 20.5 1. Complete the following analysis of variance table. Source of Variation SS Df MS F-Ratio Between Groups (Students) G Answer Answer Answer Answer Between Blocks (Activities) B 4.83 Answer Answer Answer Error 6.74 Answer Answer…
- The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is aboutcording to a job website, each job opening on average attracted 251 résumés in 2016. The job market improved in 2017 compared to 2016, which means that more people will likely be switching jobs but also fewer nemploved workers remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken. Each employer reported how many résumés they received in 2017 for each b opening. Their answers are shown in the accompanying table. Using a = 0.10, complete parts a through d. Click the icon to view the data on résumés received, a. State the null and alternative hypotheses. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Job Opening Data Ho: H = 251 * 251 210 208 (Type integers or decimals. Do not round.) 219 251 b. Does this sample provide enough evidence to suggest that the number of résumés that were received in 2017 has 207 185 270 220 Identify the critical value. 283 225 205 232 217 206 (Round to two decimal places as…A small liberal arts college in the Northeast has 250250 freshmen. Seventy of the freshmen are education majors. Suppose fifty freshmen are randomly selected (without replacement). Step 1 of 2 : Find the expected number of education majors in the sample. Round your answer to two decimal places, if necessary.
