1. Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value. (Negative values should be indicated by a minus sign. Round your test statistic to 3 decimal pla

1. Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value. (Negative values should be indicated by a minus sign. Round your test statistic to 3 decimal places and p-value to 4 decimal places.)

3. A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance.

Assessments of Eight Homes ($ thousands)Assessed byHome 1Home 2Home 3Home 4Home 5Home 6Home 7Home 8Company328350455278290285535745Employee318345470285310280525765

Click here for the Excel Data File(a) Choose the appropriate hypotheses. Assume d = company assessed value − employee assessed value.multiple choice

• H0: μd = 0 versus H1: μd ≠ 0. Correct
• H0: μd ≠ 0 versus H1: μd = 0.

(b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.)

(c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

(c-2) What is your conclusion?

6.  A cognitive retraining clinic assists outpatient victims of head injury, anoxia, or other conditions that result in cognitive impairment. Each incoming patient is evaluated to establish an appropriate treatment program and estimated length of stay. To see if the evaluation teams are consistent, 12 randomly chosen patients are separately evaluated by two expert teams (A and B) as shown.

Estimated Length of Stay in Weeks PatientTeam123456789101112A181743311823391446491930B273133512048383129292535

Click here for the Excel Data File(a) Choose the appropriate hypotheses. Assume μd is the difference in mean lengths of team A and team B.multiple choice

• H0: μd ≥ 0 vs. H1: μd < 0
• 0″ name=”ans1″ type=”radio” value=”” class=”ember-view ember-text-field” style=”margin: 0px 5px 0px 0px; -webkit-tap-highlight-color: transparent; outline: 0px; opacity: 1; float: left;”>H0: μd ≤ 0 vs. H1: μd > 0
• H0: μd = 0 vs. H1: μd ≠ 0 Correct

(b) Specify the decision rule at the .10 level of significance. (Round your answers to 3 decimal places. A negative values should be indicated by a minus sign.)

(c) Find the test statistic tcalc. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)(d) Find the p-value. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)

(e) Make a decision.

(f) State your conclusion.

rev: 07_02_2021_QC_CS-269096

7. A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05.

Truck 1Truck 2Truck 3Truck 4Truck 5Truck 6Truck 7Truck 8Entry failures4444545663504845Exit failures4850565657495148

Click here for the Excel Data File(a) Choose the appropriate hypotheses. Define the difference as Entry − Exit.multiple choice

• H0: μd = 0 versus H1: μd ≠ 0 Correct
• H0: μd ≥ 0 versus H1: μd < 0
• 0″ name=”ans” type=”radio” value=”” class=”ember-view ember-text-field” style=”margin: 0px 5px 0px 0px; -webkit-tap-highlight-color: transparent; outline: 0px; opacity: 1; float: left;”>H0: μd ≤ 0 versus H1: μd > 0

(b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

(c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

(d) Find the p-value. (Round your answer to 4 decimal places.)

(e) State your conclusion.

8.  A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?

Saturday Sales Data ($) for Ski HatsSaturdayEast Side ShopWest Side Shop15485232493721360969545675105432532

Click here for the Excel Data File(a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop.a. H0: μd = 0 versus H1: μd ≠ 0.b. H0: μd ≠ 0 versus H1: μd = 0.multiple choice

• a Correct
• b

(b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.)

(c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

(c-2) What is your conclusion?