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Upload your previously done work or type your answers below 4. It was recently reported through Fortune Magazine, Quartz / Digital Music News, PRS for music, and the New York Times that songs are shorter now than they were decades ago. However, to be sure, perform a significant test comparing the two decades given. Is there enough significant evidence to say that the two decades are different than each other at ? State: Plan: Do: Conclude:   BONUS: explain how the P-value would change and if the conclusion changes if the alternative hypothesis was lower instead of different

Using a binomial random variable distribution, answer the following question. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if improperly cooked. Chickens are delivered to grocery stores in crates of 24.  Assume the chickens are independently selected for inclusion in the crate.   The probability that certain crate has more than 4 contaminated chickens is____________

Engineers are interested in replacing solid-wood building material by less expensive products made from wood flakes.  They collected the following data to examine the relationship between the length (in inches) and the strength (in pound per square inch) of beams made from wood flakes.  The scientists were interested in knowing if the length of the beam affected its strength.  Interpret the scatter plot.       Be sure to include all 4 important features.

Use the 68-95-99.7 Rule to answer the following. Suppose that the distance a golfer can hit the ball has an approximately Normal distribution with a mean of 200 yards and a standard deviation of 15 yards.  The middle 99.7% of his hits will travel between what two distances?

Upload your previously done work or type your answers below  2. Post – Renaissance Classical music (1600s – 1910) vary in length from less than a minute to over 15 hours in length (longest binge ever). Assuming that Post – Renaissance music averages 6 minutes or 360 seconds in length. Does ‘recent’ music indicate that our attention span is getting smaller and need shorter songs?   Perform a test of significance assuming that the average length of a Post – Renaissance song is 360 seconds long to determine if there is enough significant evidence to say that the newer decade of your choice is shorter than Post – Renaissance music. Use .   State: Plan: Do: Conclude:

The following section is about the Unit 4 – Inference in Statistics

Concerning your OLDER decade; the mean was _______ the SD was _______ the sample size was _______   Note: Label your answers with each statistic on a new line

For a class of students, the association between GPA and SAT math score is roughly linear.  The equation of the least-squares regression line relating y = SAT math score to x = GPA is  = 410.54 + 67.3x.  Predict the SAT math score for Jessica, who has a 3.00 GPA.  

Suppose the lengths of green beans for a particular farm are Normally distributed with a mean of 7 inches and a standard deviation of 1.2 inches. The z-score for a selected green bean is 2.3. What does this tell us about the length of the selected green bean? 

Time magazine reported in a 2004 survey of 507 randomly selected adult American Catholics, that 279 answered yes to the question “Do you favor allowing women to be priests?” A test of hypothesis was conducted to determine if this data shows that the population proportion of adult American Catholics who favor allowing women to be priests is more than 50%.    If they obtained a p-value of p=0.0118, what conclusion should they make based on an alpha level of 0.05?