Answer Happy

Question 3 A machine in a sweet factory fills bags of sweets to weigh 500 grams. The actual weight of the sweet bags is known to follow a normal distribution. The sweet manufacturer believes that the machine is under-filling the sweet bags. A sample of 10 sweet bags is taken and weighed. The dataset can be found in dataset_Assignment. xlsx. (a) Perform a suitable t-test to determine whether the sweet bags are being consistently under-filled. State the hypotheses and the level of significance used in the test. (b) Interpret the conclusion in part (a). Bags 1 2 3 4 5 6 7 8 9 1 504.79 494.81 495.61 493,64 504.64 497.42 495.58 497.35 502.97 502.23 2 495.69 498.22 503.62 494.47 504.82 495.60 491.99 498.65 499.26 492.29 3 496.36 498.94 498.62 501.30 495.20 496.83 492.61 496 01 496 495.91 4 497.96 494.85 501.20 495.84 503.10 493.60 494.25 Weighs (grams) 5 6 498.55 502.09 497.52 497.98 492.15 502.35 486.32 497.19 491.32 496.26 496.89 497.69 496.64 506.81 7 495.28 495.32 500.72 501.15 491.17 501.56 495.35 8 496.44 502.78 499.29 502.67 499.76 499.36 495.38 500.31 484.43 498.31 9 506.09 497.63 495.01 495.58 499.05 501.78 494.24 499.59 494.69 494.36 Use database 9 10 493.42 499.77 503.79 497.43