Problem 2. To fulfill the requirements for a certain degree, a student can choose to take any 7 out of a list of 20 courses, with the constraint that at least 1 of the 7 courses must be a statistics course. Suppose that 5 of the 20 courses are statistics courses. How many choices are there for which 7 courses to take?
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- Suppose we have two groups of students, those who go for tutoring help and those who do not. The following is the mathematics test results from these two groups of students.Imagine that you were hired as a consultant by a local business owner tohelp her determine how many paid days off she should provide to her employees. In general, she wants to establish some sort of standard for her employees and for herself. Based on data provided by the government, you conclude that on average, workers in the United States take 14 paid days off per year. The data for the eight employees who work at the company you are consulting for are: 12, 9, 7, 12, 13, 14, 14, and 12 days. Thequestion you are trying to answer is, are the number of days off taken by the eight employees statistically different from the data provided by the US government? (I have stated the null and alternative hypotheses, and found that this is a two-tailed test. With alpha=0.05, I have found the t-critical value to be +/- 2.365, with DF=7)I need help with: A. Compute the appropriate test statistic. Use the computational formula tocompute the sample standard deviation. Show all formulas that you…Answer the following questions about Mario, Luigi, Toad, Toadette and Princess Peach. (A) How many ways can Mario, Luigi, Toad, Toadette and Princess Peach stand in line? (B) How many of these lines start with Luigi?
- The numbers on a dice (a single dice) are covered by 6 different letters of the alphabet. Four of the letters are vowels. The letter I is the only vowel that covers an even number. The number 2 is covered by the letter that comes immediately after the third vowel used. The sum of the numbers, which are covered by consonants, is 6. The first and last letters of the alphabet are used and the sum of the numbers they cover is 7. The largest, odd number is covered by the vowel that is nearest to the middle of the alphabet and other vowels appear near the beginning of the alphabet. Beside each number below write the letter that covers it on the dice. 1. Letter 2. Letter 3. Letter 4. Letter 5. Letter 6. LetterA survey of 100 students at New England College showed the following: 45 take English. 47 take history. 39 take language. 13 take English and history. 15 take English and language. 18 take history and language. 7 take all three. How many students do the following? (See Example 6.) (a) Take history but neither of the other two? X students (b) Take English and history but not language? X students (c) Take none of the three? X students (d) Take just one of the three? X students (e) Take exactly two of the three? X students (f) Do not take language? X studentsbe filled in. Problem: To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects? Step 1: Restate the question as a research hypothesis and a null hypothesis about the populations. Pop 1: ??? Pop 2: ??? Pop 3: ??? Null hypothesis: ??? Research hypothesis: ??? Step 2: Determine the characteristics of the comparison distribution. What type of…
- What is a two-way table? What are the entries in its cells? A two-way table is a table with two columns. with two entries. with exactly one row and two columns. where the data are categorized with two variables. with exactly two rows and one column. with exactly two rows and two columns. with two rows.(a) Find the number of these patients that had either high blood pressure or high cholesterol levels, but not both. (b) Find the number of these patients that had fewer than two of the indications listed. (c) Find the number of these patients that were smokers but had neither high blood pressure nor high cholesterol levels. (d) Find the number of these patients that did not have exactly two of the indications listedI am stuck on this question Problem 5. In a particular population of men and women, 92% of women are right-handed, and 88% of men are right-handed. Indicate whether each of the statements below is (i) true, (ii) false, or (iii) can’t be decided from the information given.a) The overall proportion of right-handers in the population is exactly 90%.b) The overall proportion of right-handers is between .88 and .92.c) If the sex ratio in the population is 1 to 1, then the proportion of right-handers is 90%d) If the proportion of right-handers is 90%, then the sex ratio must be 1 to 1.e) If there are at least three times as many women as men in the population, then the overall population of right handers is at least 91%.
- Does the order in which wine is presented make a difference? Several choices of wine are presented one at a time and in sequence, and the subject is then asked to choose the preferred wine at the end of the sequence. In this study, subjects were asked to taste two wine samples in sequence. Both samples given to a subject were the same wine, although subjects were expecting to taste two different samples of a particular variety. Of the 32 subjects in the study, 22 selected the wine presented first, when presented with two identical wine samples. How large a sample would be needed to obtain margin of error ±0.05 in the study of choice order for tasting wine? Let p =0.6875Suppose we have a dataset containing 50 rows, one row for each state. The population of each state, measuredin millions of people, is a variable in that data set. Below is a histogram for the population data. I have attached the bar graph- I am havinng trouble discerning which axis is the state and which axid is the population count? theres only 14 on one axis and 44 on the other. Doesn't make sense for a state to have a zero population. Can you tell which is which? a) What proportion of states have a population between 6 and 10 million? what is the mean population? what is the median population?A student in a statistics class is going to select 5 of her classmates to ask a survey question. Of her 19 classmates, there are 8 students who live on campus and 11 students who live off campus. (a) In how many ways can she select 5 classmates if the number of students who live off campus must be greater than 2? (b) In how many ways can she select 5 classmates if the number of students who live off campus must be less than or equal to 2?
