Astudy is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. college a samples 11 graduates. their average is 4 math classes with a standard deviation of 1.5 math classes. college b samples 9 graduates. their average is 3.5 math classes with a standard deviation of 1 math class. the community group believes that a student who graduates from college a has taken more math classes, on the average. both populations have a normal distribution. test at a 1% significance level. answer the following questions. a. is this a test of two means or two proportions? are the populations dependent or independent? b. are the populations' standard deviations known or not? c. which distribution is to be used? d. what is random variable? e. hypothesis? f. test is two tailed or one tail? g. test value h. use p-value method) to reach to the conclusion?

Venita is sewing new curtains. the table below shows the relationship between the number of stitches in a row and the length ofthe row. sewingnumber of stitches length (cm)51 131532024306what is the relationship between the number of stitches and the length? othe number of stitches istimes the length. o. the number of stitches is 3 times the length.

Write an expression that represent sarah’s total pay last week. represent her hourly wage with w monday 5 tuesday 3 wednesday 0 noah hours wednesday 8 only with w wage did noah and sarah earn the same amount last week?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?