An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give ī = 3.28 and s = 2.14. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol u , e.g. mu >1 for the mean is greater than 1, mu <1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Ho : 0 Ha : 0 (b) Find the test statistic, t = (C) Answer the question: Does this sample provide evidence that Variety A had a higher yield than Variety B? (Use a 5% level of significance) (Type: Yes or No)

The average age of licensed drivers in a county is µ = 42.6, s= 10, and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers receiving parking tickets differed from the average age of the driving population. She obtained a sample of N = 100 drivers receiving parking tickets. The average age of these drivers was M = 40.6. Say the researcher wants to determine whether this group differs from the population of drivers in the county. Use an alpha level of 0.05 (zcrit=1.96 (two-tailed test)/ zcrit=1.65 (one-tailed test)). 31. What are the null and alternative hypotheses?  32. What is the z statistic associated with this case?  33. Using the z critical information available, draw a normal distribution and fill in the observed z statistic, z critical and make the decision for the hypotheses based on the available information.

SPSS: In order to compare a new variety of wheat with a standard, an experiment is used with six plots receiving the new variety and ten plots receiving the standard. The yields (t/ha) are as follows: New variety: 2.6 2.1 2.5 2.4 1.9 2.3 Standard variety: 1.7 2.1 2.0 1.8 2.3 1.6 2.0 2.1 2.2 1.9 a) Identify the model for comparing the wheat yield. b) Is there evidence at the 5% significance level that the yield of the new variety is higher? c) Estimate the difference in yield with 95% confidence.

An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 9 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 9 differences (Variety A - Variety B) give x¯=3.35x¯=3.35 and s=4.61s=4.61. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0H0 : HaHa :  (b) Find the test statistic, t =  (c) Answer the question: Does this sample provide evidence that Variety A had a higher yield than Variety B? (Use a 5% level of significance)(Type: Yes or No)