What is the t-statistic?

Answers

Answer 1

In statistics, the t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error. It is used in hypothesis testing via Student's t-test. The t-statistic is used in a t-test to determine whether to support or reject the null hypothesis.

Answer 2

ANSWER-

The t-statistic is a measure of the difference between the mean of a sample and the mean of the population, in units of the standard error. It is calculated by taking the difference between the sample mean and the population mean, dividing by the standard error of the mean, and then multiplying by the square root of the sample size.

The formula for the t-statistic is:

t = (sample mean - population mean) / (standard error of the mean)

The t-statistic is used in hypothesis testing to determine whether a sample mean is significantly different from a population mean. The t-distribution is used to calculate the probability (p-value) of observing a t-statistic as extreme as the one obtained from the sample, assuming the null hypothesis is true.

Related Questions

some particular website, the password must start with A or B there must be 5 more characters, and each of the characters may be a numeric digit or letter of the alphabet how many diffrent passwords are possible

Answers

ANSWER -

If a password on a particular website must start with either A or B and must have 5 more characters that can be either a numeric digit or a letter of the alphabet, we can use the multiplication principle to calculate the total number of possible passwords.

Since the first character can be either A or B, there are 2 options for the first character. For each of those options, there are 36 options (26 letters + 10 digits) for the remaining 5 characters.

Using the multiplication principle, we can multiply the number of options for each position to get the total number of possible passwords:

2 (options for the first character) * 36^5 (options for each of the remaining 5 characters) = 2 * 60,466,176 = 120,932,352

Therefore, there are 120,932,352 different possible passwords that meet the requirements for this particular website.

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