explain in detail

A scale is known to be "low-calibrated" in that it measures an aluminum bar to be 5 grams lower than the actual weight. If old is the mean of all possible measurements of the bar using the old calibration, and Anew is the mean of all possible measurements of the bar using a re-calibrated scale. It is desired that Anew - Hold = 5. Consider the test Ho : Knew - Hold = 5 vs. Ho : Knew - Hold # 5 Sample after calibration: mean is 103.242 , SD is 4.9 and sample size is 14 Sample before calibration: mean is 101.47 , SD is 4.2 and sample size is 73 We do not know population standard deviations. What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test) Give as a decimal between 0 and 1 accurate to at least 4 decimal places.As another example, NBA basketball players who are normally reliable free throw shooters are often saddled with a reputation of "choking" when missing a pair of free throws, especially when the stakes are high. But is it necessarily choking? Imagine a player who makes 36% of free throws. If we assume (and this is a highly suspect assumption) that free throws are made independently as a Bernoulli process. then the probability of missing two free throws in a row is [give a decimal between 0 and 1 accurate to 4 decimal places). Because this number represents a pvalue, and is low, it may be tempting to conclude that it is scientically valid to conclude the player must have choked, by reject the null hypothesis of "no choking". A new material will replace the old material unless there is significant evidence that the mean strength of the new material is not more than 4 units higher than the mean strength of the old material. Sample from new material: mean is 95.164 SD is 4.9 and sample size is 14 Sample from old material: mean is 94.148 SD is 5 and sample size is 77 We do not know population standard deviations. Consider the test Ho : Knew - Hold = 4 vs. Ho : Knew - Hold 1 What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test) Give as a decimal between 0 and 1 accurate to at least 4 decimal places