Question

Question 13 of 14 (1 point) Attempt 1 of Unlimited View question in a pour 8.2 Section Exercise 54 (p-va Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be o =2.5. They weigh this weight on the scale 48 times and read the result each time. The 48 scale readings have a sample mean of x = 998.9 grams. The calibration point is set too low if the mean scale reading is less than 1000 grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too low. Use the a-0.01 level of significance and the P-value method with the TI-84 calculator. Part: 0 / 4 Part 1 of 4 State the appropriate null and alternate hypotheses. H: H: This hypothesis test is a (Choose one) test.

Answer 1

Test hypothesis are Ho : u =1000 He: u <1000 Given x =998.9 =2.5 ,n= 48 Using TI 584 calculator the input is TI-84 Plus Silver Edition TEXAS INSTRUMENTS 2-Test Inpt: Data Stats NO:1000 n:48 Livu. D EU. T U, I Calculate Draw STAT PLOTF1 TBLSETF2 FORMAT F3 CALC F4 WINDOW ZOOM TRACE TABLE F5 GRAPH The OUT PUT as follows

TI-84 Plus Silver Edition TEXAS INSTRUMENTS N LIX 2-Test K<1000 Z=-3.648469421 P=.0011503503 =998.9 n=48 STAT PLOTF1 TBLSETF2 FORMAT E WINDOW ZOOM CALC F4 TRACE TABLE F5 (GRAPH Test statistic z=-3.0484 P-value = 0.00115 Since p-value <0.01 Hence reject the null hypothesis