Please just answeer if it is true or false a) If a p value for a test equaled 0.0000178,  the null hypothesis would be rejected for any reasonable alpha? b) The further a t-test statistic is away from 0, the less likely you'd be to reject a null hypothesis? c) A 95% confidence interval can be constructed to estimate a sample mean. d)When estimating using a confidence interval, the width of the interval is twice the margin of error. e) Among all t distributions, the larger the degrees of freedom, the more closely the t-distributions will resemble the standard normal distribution.?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...