Using the t tables, sofiware, or & calculator; estimate the values asked for in parts (@) and (b) below: 2) Find the critical value of t for a 90% confidence in...

$t$ -models, part II Using the $t$ tables, software, or a calculator, estimate
a) the critical value of $t$ for a 95$\%$ confidence interval with df $=7 .$
b) the critical value of $t$ for a 99$\%$ confidence interval with df $=102$
c) the P-value for $t \leq 2.19$ with 41 degrees of freedom.
d) the P-value for $|t|>2.33$ with 12 degrees of freedom.

To this question. Simply a matter of reading the tea table. So for a If we look at our table, we get a value of two 0.2 to 8 for T star For B, we get 2.131 for C 2.947 Again, I'm just looking at the tea table, which is typically in the back of your textbook for D. You get an end value of five degrees of freedom of four and thus from that, you know that T star would be 4.60 four. We expand this outward for E. We get 2.492 for in we have our sample size of 38 or degrees of freedom of 37. Thus rt Star values 2.715

The question here wants us to use a particular tea table, and it wants us to estimate the critical values for the following. So for a here it's asking for the T value where we have a 90% confidence and 17 for our degrees of freedom. So if we quickly go into our table here, seventeen's going to correspond to right here, and 90 is here. So what is that going to give us? Um, t is equal to 1.33 Um, for part B here it's asking for the critical value of T, where we have 98% for a confidence level and the degrees of freedom is equal to 88. So it's gonna be in between 88 100 here. So if we look at 98% that is going to be around right here, too. So in between these two values, so in that particular case, it's just going to be the average of these. So 1001.662 added to 1.9 87 and be divided by two, and that is going to give us 1.662 1.8245 And that's gonna be our T value for B. Um, for see, here we are, given the P value to be greater than or equal to 2.9. So tea is greater than equal 2.9 with four degrees of freedom. So which confidence levels is going to be so if it's greater than two point 09 here with four degrees of freedom, it's going to be everything from here, So it's gonna be in between 90 and 95% so it's gonna be 90 to 95% here and lastly, you for de here we have a T value. Well, the absolute value of tea is greater than greater than 1.78 with 22 degrees of freedom. So 22 is gonna be here where we're looking at 1.78 So that's going to be, uh, around here. So that corresponds approximately 95%. In other words, what we can get from here is that r P value has to be between 0.5 Teoh 0.1 here

The question here wants us to use a particular tea table, and it wants us to estimate the critical values for the following. So for a here it's asking for the T value where we have a 90% confidence and 17 for our degrees of freedom. So if we quickly go into our table here, seventeen's going to correspond to right here, and 90 is here. So what is that going to give us? Um, t is equal to 1.33 Um, for part B here it's asking for the critical value of T, where we have 98% for a confidence level and the degrees of freedom is equal to 88. So it's gonna be in between 88 100 here. So if we look at 98% that is going to be around right here, too. So in between these two values, so in that particular case, it's just going to be the average of these. So 1001.662 added to 1.9 87 and be divided by two, and that is going to give us 1.662 1.8245 And that's gonna be our T value for B. Um, for see, here we are, given the P value to be greater than or equal to 2.9. So tea is greater than equal 2.9 with four degrees of freedom. So which confidence levels is going to be so if it's greater than two point 09 here with four degrees of freedom, it's going to be everything from here, So it's gonna be in between 90 and 95% so it's gonna be 90 to 95% here and lastly, you for de here we have a T value. Well, the absolute value of tea is greater than greater than 1.78 with 22 degrees of freedom. So 22 is gonna be here where we're looking at 1.78 So that's going to be, uh, around here. So that corresponds approximately 95%. In other words, what we can get from here is that r P value has to be between 0.5 Teoh 0.1 here

Okay, This is for number 57. We're looking for portable T value, which is Kurt Nolte star. So, for the question A, we have 10 observations. The in would be 10 and the confidence level that is given is, uh, 95% question be and equals two. There are 20 observations. An accomplice level would be 99%. So when I look at these two questions one after another and they're pretty similar, any questions? 10 on degrees of freedom in this case will be in minus one, which would be nine for the calmness level as 95%. We know the Alfa on wishes significance less, but it'll be 5% and 5% will be on the area of to tell us if you look out the Tekere. So 5% it will, referring to these hotels. So each of the tell would be 2.5% which is 0.2 So we're gonna use degrees of freedom being my and his point total. Five asked to write tell to determine our t start that you start could be obtained from the table beat. All right, so gonna look at the table B. All right, so here we go. We have the table B, and we're going to put into that we've got We're going to use the P, which is the right tail area and the degrees of freedom. All right, So the degrees of freedom, as we have said, is gonna be nine and the right tail, as we have calculates 0.0, to fight. So if you look at these two, refer to this table you can find the intersection number is the 2.262 But that is cortical a T value in this question in the party, So T star will be 2.62 to 2.262 is in the title, all right. Not caution be. And whose 20 we have degrees of freedom equals 2 19 Confidence level equals to 99%. So significance level alfa would be 1%. 1% is the same as point No one. So cutting to the T curve that were Guillain 11% of referring to the two tells and the right tail will be a point. No one to bother to. Butchers be porn. Oh, and we're gonna use this number of 0.2 Pope 0.5 as well as degrees of freedom equals 19 to the four hour T star by using the table Be. So let's turn to the table. Beat. All right, So question be we have degrees of freedom equals 2 19 and the right tail area is pointing over five. If you look at these two information, we're gonna find the intersection number in this table. Be as 2.861 messing me the cripple t in this case, 2.861 We have two point. Think that's what. All right, So that's form number of stone.