You are a bank manager and you want to secure a raise for your bank tellers. The board of trustees show financial data indicating that 15 customers a day is the average number of clients served for bank tellers in your region. If you can provide convincing evidence that your bank tellers are actually serving a greater number of clients per day, they will grant a 10% raise. Over the next week, you measure the average number of customers served by the 31 bank tellers at your local branch and determine that their average is 20 customers a day with a standard deviation of 3. Do you have sufficient evidence to argue for a raise? you a. Write out the null and alternative/research hypothesis b. Using the .05 level of significance, find the critical value(s) and sketch the comparison distribution with rejection region(s) shaded in c. Calculate the value of the test statistic that you will then compare to your critical value(s) d. State your decision based on the results e. Write a conclusion statement that clearly expresses what your decision means f. What is the probability that you have committed a Type 1 error? g. How could you change your approach to this hypothesis test to decrease the chances of making a Type 1 error? (Hint: Focus on step b) h. Does decreasing the chances of making a Type 1 error make it easier or harder to reject the Null Hypothesis? What evidence are you using to make your decision?

Suppose you took a survey designed to assess criminal justice students and their attitudes towards ending cash bail in California. You ask 100 students (randomly sampled) how much they'd be willing to pay to fund community supervision programs over the current cash bail system. There is another question that asks students if they believe reforming cash bail is a serious issue. Select all correct answers. The response variable is a student's belief that cash bail needs to be reformed. The reponse variable is the amount of tax a student is willing to pay to cover community supervision costs. Students answer yes or no to the question of whether they believe cash bail reform should occur. This means the samples are independent. Students answer yes or no to the question of whether they believe cash bail reform should occur. This means the samples are dependent.

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years. Student A B C D E F G SAT Score 423 375 590 693 608 390 418 GPA 2.93 2.87 3.03 3.48 3.66 2.85 2.18 Student HIJKLM SAT Score 484 734 501 613 712 362 GPA 2.56 3.22 2.01 2.77 3.90 1.58 a) The least - squares regression equation that shows the best relationship between GPA and the SAT score is (round your responses to four decimal places): ModifyingAbove y with caret = enter your response here + enter your response herex where ModifyingAbove y with caret = GPA and x = SAT score. b.) for a student with an SAT score of 390, the expected gpa = (round your response to the neares two decimal places.) c.) for a student with an SAT score of 790 the expected gpa = ( round your response to the neares two decimal places.) the coeffcient of…

You are an education researcher interested in studying if race or ethnicity affects the severity of punishment children receive.  Through open records, you are able to collect from several high schools the length of suspensions given to kids for fighting along with the race/ethnicity of the child.  The state of Texas divides school children into one of 7 race/ethnicity groups: African American, American Indian, Asian, Hispanic, Pacific Islander, White, or Multiracial.  You want to compare the average length of suspension among these 7 groups.  Which statistical test would be best to determine if there is a significant difference in the severity of punishment among the different groups?     one-sample t-test     related samples t-test     independent samples t-test     ANOVA