Table C Let X be a random variable with the following probability distribution: Probability Distribution X 0 1 2 3 P(X) 0.04 0.32 0.16   Find

A two-sided significance test was performed to investigate if the there was a difference in the true mean time it takes the students and teachers at a local high school to commute to campus in the morning.  30 teachers and 35 students were randomly chosen and asked how long it takes them to get to school in the morning.  The hypotheses tested were: :   :   The resulting test statistic was . What is the P-value for this significance test? What is the conclusion for this significance test? Interpret the P-value.

A local company showed the following two statements to a random sample of 500 students in California. Language Arts Statement:  Mastery of language arts standards should be given priority over mastery of mathematics standards. Mathematics Statement:  Mastery of mathematics standards should be given priority over the mastery of language arts standards. The order in which the statements were shown was randomly selected for each student in the sample.  After reading the statements, each student was asked to choose the statement that was most consistent with his or her opinion.  The results are shown in the table. California Students Language Arts Statement Mathematics Statement No Preference Percent of sample 56% 35% 9%   Construct and interpret a 95% confidence interval for the proportion of all adults in the United States who would have chosen the Mathematics statement. Interpret the “95% confidence level” in this context.  

112 students were asked, “What is your favorite subject?” The following is a table of the results. Favorite Subject Favorite Subject English Math Other Level ofSchool Elementary 45 32 65 Middle 24 36 57 High 67 82 112   What is the P-value for this test?

Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm, and then round to three decimal places.y = 32(5.8)x

Determine which two functions are inverses of each other. Assume x > 0.f(x) = g(x) = 2x + 7h(x) =

The term cyanotic means:

Murmurs:

The term angina pectoris means:

Capillaries connect: