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### How to interpolate for the normal distribution (or any other distribution)? [duplicate]

I have that X is normally distributed with mean 4 and variance 9 and I need to calculate the probability: Pr(X>9). So far, I have Pr(X>9)=Pr(Z>5/3)=1-Pr(Z<5/3). Now, the value for Pr(Z<5/3) ...
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### How to interpolate for degrees of freedom from a $\chi^{2}$ table [duplicate]

The question asks to find $\chi^{2*}$ that cuts off 5% of the tail with df=52. the chart given lists df=50 then jumps to 60
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### How to choose critical F value from statistical tables when the df is large? [duplicate]

For an F(2, 237) distribution, how should I determine a critical F value from a statistical table? Would I look up (2, 150) or (2, 300)? Should it simply be the closest degrees of freedom?
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### How to estimate critical value for F-test for df=91? [duplicate]

I'm trying to do F-test (ratio of the variances) for two samples with 92 data points each. I look at several links for the critical value for degrees of freedom equal to 91 but most of them are ...
6k views

### What do you do if your degrees of freedom goes past the end of your tables?

The degrees of freedom in my F table don't go up high enough for my big sample. For example, if I have an F with 5 and 6744 degrees of freedom, how do I find the 5% critical value for an ANOVA? What ...
71k views

### How to get F-test p-value

Suppose we can choose from two different catalysers. 10 observations are taken from the first one and 12 from the other one. If $s_1 = 14$ and $s_2 = 28$, can we reject at $\alpha = 5\%$ the ...
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### How exactly does null hypothesis testing work

I'm trying to gain a better understanding of how null hypothesis testing works. I have 3 questions related to the code below: Am I right in saying the probability of each t value in ...
18k views

### How to read off 0.975 alpha value in F table

$F<(1-\alpha/2, n_x-1, n_y-1)$ and $F>(\alpha/2, n_x-1, n_y-1)$. (Testing equality of population variances). An alpha of $0.0$5 is used. $1-\alpha/2= 1-0.05/2= 1-0.025= 0.975$. However, there ...
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### How to calculate critical values ($W_{\alpha}$) for the Shapiro-Wilk test?

When performing the Shapiro-Wilk test, we can obtain the critical $W_{\alpha}$ statistic from tables, given $\alpha$ is 0.05 or 0.01. If $\alpha$ is nonstandard, say 0.07 or 0.02 for example, how we ...
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### Anova one way (getting different p-values in calculator and F table). Why?

I am resolving an anova one-way exercise. But I am doubtful because when using the F-table to get the p-value, I am getting a probability around 2.2 (an obvious error), but if I use a calculator the ...
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### Calculating the “critical value” for F test

I'm following along here: http://reliawiki.org/index.php/Multiple_Linear_Regression_Analysis#Calculation_of_the_Statistic I've successfully made all of the calculations up to $f_0=211.9$. Now I need ...
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### How to get P-Value when t value is less than 1?

I am doing an assignment for class and I have hit a wall. I'm not sure what to do next. Using a sample with 12 discrete elements, I am trying to test a hypothesis that the population mean is 243 ...
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### Why use the F distribution and F test?

I don't understand why in the F test we calculate the ratio between MSE between subject and MSE within subject. As far as I know, this is due because we want to use the F distribution, which is a rate ...
### How to find exact p-value of Pearson $\chi^2$ test?
In a book I am reading, the authors have calculated the Pearson $\chi^2$ statistic value as 11.50 with degrees of freedom = 9. The p-value stated is 0.241. I looked it up in a $\chi^2$ table but I ...