ing the values given in the table.- 3 AB,4) y= g() 3+ 2,3) 2+ A(1,2) (4,2) (3, 1) (2, 1) +%+ + 1 2 3 ) -3 -2/-1 4,-1)/-1+ 4 5x (4,-1) m(3,-2) -2+ 190801 (4,-3) y= fe) -3+ -4+ In B) 0
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Evaluate the expression using the vales given in the table
f(g(-3))
A)1
B)0
C)2
D)-3
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- Q5. (i) Prices of chocolates each (OMR.): 0.10, 0.19, 0.11, 0.19, 0.17, 0.12, 0.12, 0.12, 0.10, 0.11, 0.13, 0.10, 0.09, 0.11, 0.15,0.13, 0.10, 0.18, 0.09, 0.07, 0.08, 0.06, 0.08, 0.05, 0.07, 0.08, 0.08, 0.07, 0.09, 0.06,0.07, 0.08, 0.07, 0.07, 0.07, 0.08, 0.06, 0.07, 0.06Using 6 class intervals with the lowest starting at 0.05.Set up frequency distributionConstruct frequency histogram (ii) How many ways of four-digit odd numbers can be formed from the set of digits A= {5,6,2,7,4,9,3} if the repetition of digit is not allowedThe boxplots for the grade scores in the midterm exam in a Calculus I class for two different classes is attachedClass 1: Q1= 65 M= 70 Q3 = 80Class 2: Q1= 60 M= 70 Q3 = 75Which class is likely to have a greater percentage of students with grades smaller or equal to 70? Class 2 Class 1 It is impossible to tell. Neither Both classes are about equal. Which class has 50% percentage of students with grades between 70 and 80? Class 2 Both classes are about equal. Neither It is impossible to tell. Class 1 For which class did 25% of students receive grades between 60 and 70? Both classes are about equal. Class 1 Class 2 Neither It is impossible to tell.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. Percent of Wetlands Lost 0 9 1 NONE 2 ? 3 ? 4 ? 5 ? 6 0 8 7 1 8 3 7 9 9 0
- Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. Percent of Wetlands Lost 0 9 1 NONE 2 ? 3 ? 4 ? 5 ? 6 0 8 7 1 8 3 7 9 9 0 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.)An analyst in the real estate business is interested in the relationship between the cost of the monthly rent of an apartment and the size of an apartment, in big cities. She gathers data for apartment buildings in 12 cities in 12 different states. In each city, she gets the numbers for at least 5 different buildings and at least 40 apartments in each building. She reaches the following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a 1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental cost of a 2-bedroom apartment. Based on the paragraph, what is the minimum number of apartments she collected data on? Do you think her sample was large enough to be statistically valid? Based on the paragraph, are there any apartments or apartment buildings that she would have excluded from her study? Do you see any bias in how she selected apartments for her study? Based on the paragraph, is there a positive…A rehabilitation counselor believes that an increase in the number of social visits to a patient over the course of a week in the hospital will increase the patient's daily levels of positive mood. The counselor ensures that patients are limited to only three people during each visit. What is the alternative hypothesis for this relationship? A. H1 : ρ < 0 B. H1 : ρ > 0 C. H1 : r < 0 D. H1 : r ≤ 0
- To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of credits for the course. Suppose a student had these grades: 4.0 in a 5 credit Math course 2.0 in a 3 credit Music course 2.9 in a 4 credit Chemistry course 3.1 in a 5 credit Journalism course What is the student's GPA for that term? Round to two decimal places. Student's GPA =A retailer wants to see if a red "Sale" sign brings in the same amount of revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 2.4, 3, 3.6, 1.8, 3, 2.7, 2.9, 3, 3.1 Blue: 1.7, 2.1, 1.4, 2.6, 0.6, 3, 3.5, 1.6, 0.3 Assume that both populations follow a normal distribution. What can be concluded at the αα = 0.05 level of significance level of significance? The test statistic ? t = _______________ (please show your answer to 3 decimal places.) The p-value = __________________ (Please show your answer to 4 decimal places.)A researcher want to know if there is a relationship between sleep and anxiety. The researcher randomly selected n = 5 participants and asked each to rate their sleep quality and anxiety level on a scale of 1 to 5. The data are below: Sleep X Anxiety Y 2 2 3 3 2 2 4 2 5 2 Calcuate the Sum of Products (SP).
- K:56) Somehow you manage to build a fair 3-sided die, equally likely to show 1, 2, or 3 every time it is rolled. You roll the die twice, with the results each time being independent. If X is the maximum of the 2 numbers rolled and Y is the sum of the 2 numbers rolled, find the correlation ρ(X, Y ).A retailer wants to see if a red "Sale" sign brings in more revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 3.7, 3.9, 2.7, 3.6, 2.5, 2.8, 3.2, 4.4, 3.9 Blue: 1, 2.1, 2, 3, 2.8, 3.1, 2.5, 3.4, 3.6 Assume that both populations follow a normal distribution. What can be concluded at the � = 0.05 level of significance level of significance?A retailer wants to see if a red "Sale" sign brings in less revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 2.6, 3.2, 3.4, 1, 2.6, 4.6, 2.7, 3.3, 3.2, 2.4 Blue: 3.7, 4.6, 4.2, 4.1, 3.6, 2.1, 4.7, 3.6 Assume that both populations follow a normal distribution. What can be concluded at the α = 0.05 level of significance level of significance? For this study, we should use? The null and alternative hypotheses would be: H0: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? α Based on this, we should ? the null hypothesis. Thus, the final conclusion…