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Q1) Tables illustrate that 95% critical values for some t distributions are (to 2 dp) as follows:
df 6 9 12 20 30 critical values ±2.45 ±2.26 ±2.18 ±2.09 ±2.04
Use statistical tables or TINV function in excel to find critical values for the t distribution with following degrees of freedom 5 8 15 18 24 60 120. Combine two tables, and therefore argue that these critical values approach ±1.96 as number of degrees of freedom tends to infinity. Briefly explain on why would we must expect ±1.96 to be the limit here. Examine the behaviour of 99% critical values for these degrees of freedom, and comment on the limits in this case.
Find the probability that a randomly selected employee earns less than $5.43.
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At 0.05 level of significance, is there evidence of noteworthy difference in variation in sales among different aisle locations?
If statistically significant, do you think the difference is large enough to be important?
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More than 13 successes in 19 trials with a 40 percent chance of success. (Round the answer to 4 decimal places.) Fewer than 7 successes in 15 trials with a 40 percent chance of success. (Round the answer to 4 decimal places.)
Interpret the correlation between each set of variables.
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