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Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at 2 levels of compression. Penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil.
Compressed soil:2.86 2.68 2.92 2.82 2.76 2.81 2.78 3.08 2.94 2.863.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16
Intermediate Soil:3.14 3.38 3.10 3.40 3.38 3.14 3.18 3.26 2.96 3.023.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26
a) Make stemplots to investigate the shape of the distributions. The penetrabilities for intermediate soil are skewed to the right and have a high outlier. Returning to the source of the data shows that the outlying sample had unusually low soil density, so that it belongs in the "loose soil" class. We are justified in removing the outlier.
b) We suspect that the penetrability of compressed soil is less than that of intermediate soil. Do the data (with outlier removed) support this suspicion?
A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. 13. At a = 0.05, what is the test value?
He surveys several businesses and finds the standard deviation in monthly advertising costs is $23 for 12 hair salons, and $43 for 8 nail salons.
Assuming no discrimination based on gender, what is the probability of getting 41 or fewer women when 100 new employees are hired?
Calculate the value of Pearson correlation. Illustrate what information is provided by the numerical value of the Pearson correlation.
Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incadescent lights and to LED lights.
Select a random variable to represent the category. Produce a probability mass function for that variable, and use it to compute the mean, the median and the variance of the data in the data set. Show the probability mass function, both in tabular..
What is the appropriate inferential statistical test for the case scenario? Why?
For a binomial probability experiment, with n=150 and p=.2, it is appropriate to use the normal approximation to the binomial distribution.
Conduct the following test using 95% level of confidence.
Comprise appropriate (BPS formatted) descriptive statistics table inferential statistics table.
Create a 99 percent confidence interval for difference in means between Line B and Line C.
Calculate expected number of interruptions per day. Calculate standard deviation.
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