The t-distribution and the normal distribution are not exactly the same. The t-distribution is approximately normal, but since the sample size is so small, it is not exact. But n increases (sample size), degrees of freedom also increase (remember, df = n - 1) and the distribution of t becomes closer and closer to a normal distribution. Check out this picture for a visual explanation: http://www.uwsp.edu/PSYCH/stat/10/Image87.gif
It is not negative. it is positively skewed, and it approaches a normal distribution as the degrees of freedom increase. Its shape is NEVER based on the sample size.
For statistical tests based on (Student's) t-distribution you use the t-table. This is appropriate for small sample sizes - up to around 30. For larger samples (or degrees of freedom), the t-distribution becomes very close to the Standard Normal distribution so you use the z-tables.
n-1
Yes it does.
The t-distribution and the normal distribution are not exactly the same. The t-distribution is approximately normal, but since the sample size is so small, it is not exact. But n increases (sample size), degrees of freedom also increase (remember, df = n - 1) and the distribution of t becomes closer and closer to a normal distribution. Check out this picture for a visual explanation: http://www.uwsp.edu/PSYCH/stat/10/Image87.gif
The estimated standard deviation goes down as the sample size increases. Also, the degrees of freedom increase and, as they increase, the t-distribution gets closer to the Normal distribution.
It is not negative. it is positively skewed, and it approaches a normal distribution as the degrees of freedom increase. Its shape is NEVER based on the sample size.
The increase in room temperature is 28 degrees.
intensive distribution, exclusive distribution, and selective distribution.
Iron becomes liquid at 1800 degrees.
An increase of 5 degrees Celsius is greater than an increase of 5 degrees Fahrenheit because the Celsius scale is larger than the Fahrenheit scale. In Fahrenheit, an increase of 1 degree is equivalent to 0.5556 degrees in Celsius.
The Student's T- Distribution is a type of probability distribution that is theoretical and resembles a normal distribution. The Student T- Distribution differs from the normal distribution by its degrees of freedom.
The change in temperature from -5 degrees to 7 degrees is an increase of 12 degrees. (7 - (-5) = 12)
For statistical tests based on (Student's) t-distribution you use the t-table. This is appropriate for small sample sizes - up to around 30. For larger samples (or degrees of freedom), the t-distribution becomes very close to the Standard Normal distribution so you use the z-tables.
The increase in degrees Fahrenheit would be 86.4 degrees. This can be calculated by multiplying the increase in degrees Celsius (48.0) by the conversion factor of 1.80.
The increase from 3 degrees Celsius to 6 degrees Celsius represents an increase of 3 degrees, not doubling the temperature. Doubling the temperature would require an increase from 3 degrees Celsius to 6 degrees Celsius.