In an adult literacy program, 2 teaching methods are being considered. To compare their relative merits, a group of 28 illiterates is taken, which are randomly separated into 2 groups of 14 each. Each group is literate with one of the methods and, once the instruction is completed, the time (in seconds) it takes to read a paragraph with an extension of 125 words is recorded for each of the 28 individuals. The results are: Method A 58 Method B 65 63 61 56 59 60 64 69 52 55 64 65 59 52 54 58 63 59 60 48 57 63 62 59 50 47 a) Test the hypothesis that the mean reading speed is the same with the 2 methods a = 0.05 b) Establish a confidence interval for the difference between the a = 0.05 reading speed means. Relate the interval obtained with the hypothesis test in a). Which method is most effective? c) What assumptions did you have to make to solve parts a) and b)? Do they seem reasonable with this data?

Cathy makes a single deposit into an account earning 2.5% compounded monthly. After five years the account contains $3057.46.how much did she deposit?

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions? Select one: O a. 12750 O b. 11340 O c. 320 O d. 40

A team of six girls and five boys put together a 2,200-piece jigsaw puzzle in four hours. The same puzzle was put together in eight hours by a team of two girls and five boys. Are boys or girls more efficient at putting together jigsaws, and by what proportion is one gender better than the other?

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…

Q6 How many different ways are there to select a group of 4 out of 6 people for a cyber-sport team with 4 distinct roles?

You are interested in the development of language in bilinguals. You are able to locate five families in the world with 18-month-old toddlers who are learning both Swahili and Vietnamese simultaneously. Given that these are the only families that fit this qualification, therefore, these five families are your study population. You test the children to see how many words they can understand in Vietnamese. The results are listed in the following table: Toddler Number of Words in Vietnamese A 30 86 47 34 E 58 Calculate the variance 2 for this population.

Select the correct number of factors and levels for this study: A researcher would like to test if strategy type affects the time to complete an exam. The researcher assigns 24 student volunteers to one of the following 3 treatment groups: a group that crams for 12 hours before exam, a group that crams for 3 days before exam, and a group that studies for 1 week before the exam. a. 3 factors, 1 level b. 3 factors, 3 levels c. 1 factor, 3 levels d. 1 factor, 1 level

We are interested in estimating the proportion of people that can identify Nebraska but not Vermont. In a class of 55 students, each student was requested to select a sample of 6 people, show each person a map of the US and ask the person to identify the states of Vermont and Nebraska. The following numbers are the counts that each student got, that is, each number is the count of people in the student sample of 6, that could identify Nebraska but not Vermont.3344010110020030002020001100002010000001000200000001010Note: You can cut and past these numbers into an excel spreadsheet to help you calculate the mean and the standard deviation and compute the confidence interval. If you have trouble pasting them, paste them to a text file first and then copy from there.When we collect all the students' data, we have a sample size of 6x55=330.Of the sample of 330 people, what proportion were able to locate Nebraska but not Vermont? (round answer to 3 decimals) Find a 95% confidence interval for…

How many combinations of k=5 screws is it possible to construct from n=8 different screws?  What is the number of combinations of screws?