Suppose that 1 =.5, 2= .2, n1 = 20, and n2 = 30.  What is the P-value for the hypothesis H0: p1  p2 versus Ha: p1

A study was done to determine if students learn better in an online basic statistics class versus a traditional face-to-face (f2f) course. A random sample of 12 students in an online course and 15 students in an f2f course was taken. The scores (out of 100) on the final exam of both groups are shown below. Online class 60 100 95 80 67 88 76 86 90 95 91 100       f2f 55 70 90 81 67 89 34 76 94 88 100 67 93 76 89 Using a significance level of α = .05, the null hypothesis would be rejected.

A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate? To answer this, they will test the hypotheses H0: p = 0.50 versus Ha: p > 0.50.  If n = 120 and r = 64, what is the P-value for this hypothesis test?

(41-42) Find the P-value for each situation. Test statistic 

Find the  and .

Find the .

Which statement(s) about a normal shockwave is (are) not correct (check all that apply)?

(43-46) Two printing machines are under study. For Machine I, a random sample of  newspapers had a standard deviation of times minute. For Machine II, a random sample of newspapers had a standard deviation of times minute. Assume that the times follow a normal distribution. Test the claim that

Which equation represents the First Law of Thermodynamics?

(5-8) A random sample of n1=16 communities in western Kansas gave the following information for people under 25 years of age. : Rate of hay fever per 1000 population for people under 25 ​98  107  111  116  151  134 126  96  122  111  121 133  142  123  95  91 A random sample of n2=14 regions in western Kansas gave the following information for people over 50 years old. : Rate of hay fever per 1000 population for people over 50 ​81  112  103  102  78  76  112  113  104  119  92  106  97  106 Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0.05. State the null and alternative hypotheses.