Example 10.2 Suppose there are 8 persons from whom we have to select samples of size 3. How many samples can be selected?
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- A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use the five-step model as a guide and write a sentence or two of interpretation for your results. Working Class Middle Class Upper Class 10 11 7 9 10 5 4 5 2 2 2 0 1 0 0Using the same question from #3 A survey is done to find out the favorite movies of 500 children. The children are categorized into male and female, and a sample of 50 children is chosen. Answer the following question: If the number of female children is 300, what is the sample size of each stratum? a male sample: 40 and female sample: 10 b male sample; 25 and female sample: 25 c male sample: 30 and female sample: 20 d male sample: 20 and female sample: 301.18 Cats on YouTube. Suppose you want to estimate the percentage of videos on YouTube that are cat videos. It is impossible for you to watch all videos on YouTube so you use a random video picker to select 1000 videos for you. You find that 2% of these videos are cat videos. Determine which of the following is an observation, a variable, a sample statistic (value calculated based on the observed sample), or a population parameter
- A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.QUESTION 15 A 4X5 ANOVA would have how many cells?Every day in the summer months a supermarket receives a shipment of peaches. The supermarket’s quality inspector arranges to have one box randomly selected from each shipment for which the number of “spoiled” peaches (out of 48 peaches in the box), which cannot be put out on the supermarket shelves, is recorded. DS 6.1.5 shows the data set obtained after 55 days. Define the population from which the sample is taken. Do you think that it is a representative sample?
- Here is a sample of amounts of weight change(kg) of college students in their freshman year: 11,2,-1,-6, where -6 represents a loss of 6 kg and positive values represent weight gained. Here are ten bootstrap samples: {11,11,11,-1}, {11,-6,-1,11}, {11,-6,2,-1}, {2,-6,-1,11},{-1,-1,-1,2}, {2,-6,2,-6}, {11,2,-6,-1}, {-6,2,-6,2}, {-6,-1,-6,2}, {2,11,11,11}. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. b. Using only the ten given bootstrap samples, construct an 80% confidence intervalestimate of the standard deviation of the weight changes for the population.The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 118811. A population consists of the data (1, 2, 3, 4). 4. How many different samples of size n = 2 can be drawn from the population? a. 6 b. 5 c. 4 d. 3 For numbers 12-14, please refer to the problem below. A population consists of five (5) measurements 2, 3, 6, 5, and 7. 12. How many different samples of size n = 2 can be drawn from the population? a. 7 b. 8 c. 9 d. 10 13. What is the mean of the sampling distribution of the sample means? a. 3.44 b. 4.60 c. 4.92 d. 5.20 14. What is the variance of the sampling distribution of the sample means with a sample size of 2? a. 0.89 b. 1.29 c. 2.20 d. 3.90 For numbers 15-16, identify whether the given situation illustrates a sampling distribution from a normal population with a) Known or b) Unknown Variance 15. IQ scores are normally distributed with standard deviation o= 15 points. You wish to determine the mean IQ of all students in Matiyaga National High School by taking a random sample of 16 students. 16. The general weighted average (GWA)…
- 7. Many businesses have music piped into the work areas to improve the environment. At a company an experiment is performed to compare different types of music. Three types of music - country, rock, and classical – are tried, each on four randomly selected days. Each day the productivity, measured by the number of items produced, is recorded. The results appear below: Country Rock Classical 857 791 824 801 753 847 795 781 881 842 776 865 1.1. Is there a significant difference between the three types of music? Use a =.05. 7.2 Solve using Analysis of Variance. 7.3 Which type of music seem to be best? 7.4 Which type of music seem to be worst?Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below. Model Model 1 Model 2 Model 31 with Thru-the-Door Ice and Water. Model 4 Model 5 Model 6 with Thru-the-Door Ice and Water Model 7 Model 8. Model 9 with Thru-the-Door Ice and Water Model 10 with Thru-the-Door Ice and Water Model 11 with Thru-the-Door Ice and Water Model 12. Model 13 with Thru-the-Door Ice and Water Model 14 Model 14 Model 15 Model 16 with Thru-the-Door Ice and Water Model 17 Model 18 with Thru-the-Door Ice and Water Model 19 with Thru-the-Door Ice and Water Model 20 with Thru-the-Door Ice and Water Model 21 Cu.Ft. List Price 18.3 Ho: B₂ 20 H₂: B₁ 0 ⒸH₁: B₁ = 0 H₂: P₁0 24.8 25.4 19.3 17.3 19.6 25.0 25.4 26.0 25.6 18.0 25.0 20.2 24.5 $1,299.99 20.2 15.5 28.2 27.8 $899.99 23.6 $1,799.99 $1,799.99 $749.99 $599.99 $1,619.99 $999.99 $1,299.99 $1,299.99 $1,099.99 $679.99 $2,199.99…Fisher's irises. Sir Ronald Aylmer Fisher was an English statistician, evolutionary biologist, and geneticist who worked on a data set that contained sepal length and width, and petal length and width from three species of iris flowers (setosa, versicolor and virginica). There were 50 flowers from each species in the data set. Which of these represent the Cases?? How many cases where there? Sepal Length is a ? Iris Species is a? variable in the subcategory variable in the subcategory? Which of the following are also Variables? DA. Petal Widch OR Iris Flowers OC Petal Length OD Sepal Width OE. Statistician DE No other Variables
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