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- Suppose an instructor wants to know the average height, gender distribution, academic performance (bad, good, very good, excellent), and year of admission of the students of the college of the science of SQU. He divided the students into male and female and took a random sample of 30 male and 30 female students. a) What is the implied population in this study? b) Identify the variables of the study c) Classify the identified variables according to qualitative and quantitative. d) Identify the level of measurement of each identified variable e) Which sampling technique was used to select 60 students?Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. Millionaire Cannot conclude Bridgeport, CT CA San Jose, CA Yes 42 36 No 458 264 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? 0.436 Use Table 3 of Appendix B to find the p-value. The p-value is greater than 0.10 What is your conclusion? City Washington, D.C. 35 365 Bridgeport, San Jose, Washington, Lexington Park, CT D.C. MD Lexington Park, 46 27.4 Percentage, % 36.5 b. Using a = 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value? Compute the value of the x² test statistic (to 3 decimals). 36.5 MD 33 367 that there is a difference among the population proportion of millionaires for these four cities.Ten countries were randomly selected from the list of 129 countries in theCountry. The countries are compared with respect to their gross nationalproduct per capita, an indicator of the average income level of each country.Researchers have found that people in countries with higher income levelstend to live longer than do people in countries with lower income levels.In addition, birth rates tend to be higher in countries with lower incomes,with birth rates declining as countries become better off economically. a. Use this data to determine the Spearman rank correlation of GNP with(i) life expectation, and (ii) the birth rate. b. Test to determine whether the correlation of ranks is statisticallysignificant at the 0.05 level of significance.
- a) observed value of the test statistic b) the distribution of the test statistic: either X12 , X42 or X22c) p value and if this shows strong evidence for an associationConsider the following random sample of data: -7, 5, -1, -1, 8, 1, 7, -4, 8, 80 a) What is the mean of the sample data? Round your response to at least 2 decimal places. Number b) If the outlier is removed, what is the mean of the remaining sample data? Round your response to at least 2 decimal places. NumberIn a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. Which of the following correctly states Ho and H₁ ? A. Ho: Mx Hy = 0 H₁: Hx-Hy >0 OC. Ho: Mx Hy ‡0 Hi HxHy=0 - O E. Ho: Mx Hy = 0 H₁: Hx-Hy <0 B. Ho: Mx Hy = 0 H₁: Hx-Hy #0 D. Ho: Hx-Hy = 0 H₁: Hx-Hy 20 OF. Ho: Mx Hy = = 0 H₁: Hx-Hy ≤0
- Find the mean and median for each of the two samples, then compare the two sets of results. )A comparison is made between summer electric bills of those who have central air and those who have window units. May June July Aug Sept $65 Central $32 $59 $80 $90 Window $15 $86 $99 $120 $40 a) Central Mean b) Central Median c) Window Mean d) Window Median e) In your own words, compare the 2 electric bills of those who have central air to those who have window units. f) Explain how you found the Window Mean. g) Explain how you found the Window Median.Compute the mean weight of a sample of seven chickens selected at random from a large poultry. the chickens weigh: 8,12,9,11.5,8.5,9.5,10( pounds)If SSBetween = 225.31 and there are four groups in the study with 10 cases per group, MSBetween = :
- The Department of Statistics Malaysia (DOSM) conducted another study on the monthly grossincome (in RM) in Malaysia for 2017. Another four states are selected and the data obtained areshown in Table 2. The Boxplot of the data is given in Figure 1Consider the following random sample of data: 9, -9, 0, 5, 10, 7, 1, -6, -1, 82 a) What is the mean of the sample data? Round your response to at least 2 decimal places. Number b) If the outlier is removed, what is the mean of the remaining sample data? Round your response to at least 2 decimal places. NumberAn experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Suppose it makes sense to conduct a post-hoc analysis. We will use Tukey's test to make pairwise comparisons between means. The decision rule for Tukey's test would be as follows: "Reject H0 if |qc|>q0.10,K,L=M . Otherwise, fail to reject H0." 1. What is the value for the number of…