260007Avg Per Pupil $16536 + 0.332 Avg Teacher Pay2400022000 20000 1 18000 16000 01400o 1 12000- A0OdO 80001 6000 4ooo- 4oooo 450005o0005s000|80000 85000 7o000l7s00...

Starting teachers’ salaries (in equivalent U.S. dollars) for upper secondary education in selected countries are listed. Find the range, variance, and standard deviation for the data. Which set of data is more variable? (The U.S. average starting salary at this time was $\$ 29,641.) $$\begin{array}{llll}{\text { Sweden }} & {\$ 48,704} & {\text { Korea }} & {\$ 26,852} \\ {\text { Germany }} & {41,441} & {\text { Japan }} & {23,493} \\ {\text { Spain }} & {32,679} & {\text { India }} & {18,247} \\ {\text { Finland }} & {32,136} & {\text { Malaysia }} & {13,647} \\ {\text { Denmark }} & {30,384} & {\text { Philippines }} & {9,857} \\ {\text { Netherlands }} & {29,326} & {\text { Thailand }} & {5,862} \\ {\text { Scotland }} & {27,789} & {}\end{array}$$

Looking at 89. We're doing an inversion normal because they're giving us percentile. So in verse Nor and O r and and I'm gonna do 0.9 a mean of 44,000 But it's damn deviation of 500. Its meaning Me. But in red, 52,000 330. And then for part B, we're doing inverse Norm White nine. £44 6500. No, not 1000 100. Divided by this were of the 10 teachers and that equal 46 6 30 four.

In this exercise begin to be considering information about wages and salaries in public schools systems. As given in the national survey of salaries and wages in public schools were given that the mean annual salary of public classroom teachers is 49 $1000. So we have to assume that we're making a test. The hypothesis test to decide ah whether the mean annual salary of classroom teachers in Hawaii is greater than the national mean. So first, we have to define the population mean in this case we're looking at uh new. So which is the mean annual salary of classroom teachers in Hawaii. Now, the non hypothesis hitch knot will be that they mean is equal to $49,000. That's the the mean annual salaries that we're going to be comparing. And because in this test, we're determining whether the mean annual salary in Hawaii is greater than the National mean, then the alternative hypotheses will be that new is greater than 49 $1000. And this is a one sided test. It's a one tailed test. And because we're only considering the greater that we're saying that we're looking at the main being greater than 49,000, then this is going to be a right tailed test.

Okay, so we're gonna compare the salaries of teachers in New York and Massachusetts, and we want to know if those salary are equal or not. We're gonna use the procedure provided in page for 91 of your book. So it's get started. The first step of this procedure is we need We're going together over information and make our hypotheses. So that means for New York and then me for myself. Truces, you smell and for the mean of sample. So we have 70 6000, 409 and we have 73,000, 195. Both are simple, have to say is same size, which is 45. And that number is greater than it's greater than zero. Yes, but more importantly, is greater than 30. So that's always a good thing. And way we look at the standard deviation of both population, which think for is known eso we have seven 1008 100 1000 200. So now these are all the This is all the data we need to solve. This problem in the last part of Step one is to state our hypotheses, so h sear on H one or no hypotheses is that the means of the two population are equal and our alternative hypothesis is that they're not equal. This means we have the to tail test. We do a tiny drawing here of a normal, which means the area we will be looking at at the end. His area here drives a bit ugly, but this does the job. So this is step one. We have our debt. Step two, we find a critical value. So it is. Get Alfa is 0.1, which means that how it felt divided by 20.5 which means that are critical values. Crit, thou oh are plus minus 1.96 You can find these in the table in your book table E and the end of the book. Step three, we compute Z so Z is the mean of her sample. So they mean your population minus the mean of Massachusetts population minus the mean of the samples, the difference of meaning of sample minus them the difference of population me, all of that divided by New York. So this tender deviation squared of Arians divided by the size of the sample. Thus there variants of the other population divided by sighs that simple to room. So this is the formula here. We know that this is a church zero. So we know that, uh, h New York and New New York minus meal as the choice is equal to zero. And then it's just plugging did that, that we find that step one in that equation. So it's got a little bit like their 76 1004 104 minus 70 3000 195 invited by seven 1008 100 square, over 45 plus 8200 square over 45. We put off that insight. Uh, square root. I'm not gonna do all the calculation here. You can plug that in your favorite calculator or software on your computer, and and result where Looks like this for 3209 over one point at 1600 87.1, which is 1.9 and so we can conclude. Step for is to conclude. So we know that Z is equal to 1.9, which is greater than one point 65 which is our critical value. Therefore, we reject 80 The name mule, the mean off the teacher's salary in New York is different. Then the median salary off the teachers in Massachusetts based on that test. So quick recap we find our data. We put it all very clear. So we know everything. That's our disposition. Step two, we find a critical value based on the Alfa Step three, we compute Z based on the information gathered in step one and step for we conclude using the Z value compute.

You just keep on bed. As is equal to B minus 0.143 t scared plus 3.73 d plus 32.5 where as three present the salary offs country class from teachers and d represent that year. Now we need to find the ear. Ben, The salary off the skin DRI classroom teacher will be $50,000. So what s is equal to $50,000 we get the question 50,000 is equal to B minus 0.143 T scare plus 3.73 d plus 32.5. Now we can rewrite it as 0.143 t scared minus 3.73 d plus 4 9967.5 is equal to zero now by simplifying it, we get the value of T is equal to be approximate six. So in 2006 salary will be equal to $50,000. No, we need to create a table of values for the given models. No, we are creating a table in which t represents the year and as represent the salary now when the tea is equal toe five. Then, by using the given a question we get, salary is equal to be 5 47,075 100 dollars. Now, when the value of T is equal to six, we get the salary is equal. Do before $9732. When the value of T is equal to seven we get the salary is equal to be 51 $603. And when the value of T is equal to it, we get the salary is equal to be 53188 When the value off here is equal to line, then we get the salary is equal to be $54487 When the ear is 10 then the salary is comes out to be five 5000 that is $55,000. Then the physical to be 11. Then the salary will be 56 1000 to $27 and that an ear is equal to dwell. Oh, we get the salary will be equal to 56 $668 and when the year is 13 then the salary will be called to 8 56,023 dollars. No, no. We need to upload the graph off the given model. So the graph we look like as so the graph, we'll look like s now this is the graph off the given immigration. No, we need to get remind when the average detriment. That year, when the every celery reached $55,500 Now from the table values, we can see that when in when the value of T is equal to 10 the salary will be equal to $55,500. So in 2010 the celery will be $55,500. No, we can also find again another model that can predict the average salaries, predict the average salaries, so our answer can be very