You are interested in the probability of the outcome when rolling a six-sided die. Answer the following questions using p to denote the probability of this outcome.

(a) You suspect that for this die the outcome does not occur with the same probability as with a fair die. Formulate the null and alternative hypotheses based on which you may make a statistical inference regarding your suspicion.

(b) You suspect that for this die the outcome occurs with greater probability than with a fair die. Formulate the null and alternative hypotheses based on which you may make a statistical inference regarding your suspicion.

(c) You suspect that for this die the outcome occurs with lesser probability than with a fair die. Formulate the null and alternative hypotheses based on which you may make a statistical inference regarding your suspicion.

(d) You believe that for this die the outcome occurs with the same probability as with a fair die.

How might you collect evidence in support of your belief?

Which is easier: to collect evidence in favor of balancedness or to collect evidence against balancedness?

One proposed quality criterion for evaluating mixed methods findings and Interpretations (proposed by Teddlie and Tashakkori) combines notions of internal validity, statistical conclusion validity (quantitative criteria), and credibility (a qualitative criterion). What is this criterion called? A Inference transferability B. Interpretive rigor C. Inference quality OD. Meta-inferenceA probability distribution which can take any value on the real line (-0o, co). Has two parameters: mean (u) and standard deviation When u = 0 and 6 = 1, called the standard normal distribution. Extra credit: what is probability of a normally distributed random variable taking on a specific value, say 0? Probability and Statistical Inference II5. {8 pts} 011 one street, a drivers speed just before an accident is unifome distributed on [15, 25]. Given the speed, the resulting loss from the accident is exponentially distributed with mean of 1.25 times the speed. Calculate the variance of a loss due to an accident on that street