Use the following scenario to find the critical value ? A researcher wants to see whether high school students from different areas of Virginia differ in their preparedness for college. A random sample of 90 high school seniors took the College Preparedness Scale, where higher scores indicate greater college preparedness. Thirty of these students live in Northern Virginia, 30 students live in Richmond, and 30 students live in Virginia Beach.

The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Source Sum of Squares Degrees Mean Square F P-value of Variation (to whole number) of Freedom (to 2 decimals) (to 2 decimals) (to 4 decimals) X X (X) * X * * Treatments Error Total The p-value is less than 0.01…

In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 140 houses built in Southern California in the twentieth century and an independent, random sample of 81 new houses built in Southern California. The sample of twentieth century houses contained 61 houses with pools, and the sample of new houses contained 24 houses with pools.Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p1 of all Southern California twentieth century houses that were built with pools is greater than the proportion p2of all new Southern California houses that were built with pools?Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the…

Based on market sales figures, approximately 7.9% of car owners in California own an electric or plug-in hybrid vehicle (EV). A marketing director at a local car dealership would like to know if their sales of EV's is any greater than what the state's sales proportions are. To examine this, they look over the last 500 sales (which they consider to be a representative sample of all car sales) and determine that 10.4% of those were EV sales. Is this statistically significant evidence that the dealership sells a higher proportion of EV's than the overall state's proportion? Which of the following are the correct null and alternative hypotheses for the hypothesis test used to determine significance? Ho:p = 0.079 Haip > 0.079 %3D O Ho:p = 0.079 Hai p > 0.104 O Ho:p 0.079 O Ho:p 0.104

Researchers studied a group of 30 “self-designated worriers” (i.e. individuals who reported spending at least 10% of the day worrying) and who were over the age of 70 (mean age of 78.1).  The researcher randomly assigned the worriers into three groups.  For the next four weeks, each group would experience a different approach to handling worry.  One group engaged in a worry-focus discussion group.  The second group members enjoyed individual therapy.  The third group went for daily walks in the park.  Data was collected, analyzed, and interpreted.  Write a valid one sentence hypothesis statement using proper form of the above research design.