This question is modified from an actual experiment published in a medical journal. A study claimed...

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This question is modified from an actual experiment published ina medical journal. A study claimed that people who eat high-fibrecereal for breakfast will on average consume fewer calories forlunch than people who do not eat high-fibre cereal for breakfast. Agroup of 150 people were randomly selected. Each person wasidentified as either a consumer or a non-consumer of high-fibrecereal at breakfast, and the number of calories consumed at lunchwas measured and recorded. Here are the data. (Numbers arefictitious.)
(a) Calories consumed at lunch byhigh-fibre breakfastconsumers:
568 646 607 555 530 714 593 647 650 498 636 529 565566 639 551 580 629
589 739 637 568 687 693 683 532 651 681 539 617 584 694 556 667 467540
596 633 607 566 473 649 622
(b) Calories consumed at lunch bylow-fibre breakfastconsumers:
705 754 740 569 593 637 563 421 514 536
819 741 688 547 723 553 733 812 580 833
706 628 539 710 730 620 664 547 624 644
509 537 725 679 701 679 625 643 566 594
613 748 711 674 672 599 655 693 709 596
582 663 607 505 685 566 466 624 518 750
601 526 816 527 800 484 462 549 554 582
608 541 426 679 663739 603 726 623 788
787 462 773 830 369 717 646 645 747
573 719 480 602 596 642 588 794 583
428 754 632 765 758 663 476 490 573
Test if the result of the study is statistically significant at 5%significance level. (COULD YOU PLEASE DESCRIBE ALL THE STEPS ONE BYONE IN YOUR CALCULATION?) Thank you in advance for your help.
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4.4 Ratings (756 Votes)

Using Ttest for difference between two populationmeansHypothesisNow let1 Mean Calories consumed at lunch by lowfibrebreakfast consumers2 Mean Calories consumed at lunch by highfibrebreakfast consumersThe nullhypothesis is given byH0 There is no difference betweenthe two population means ie Mean Calories consumed at lunch byhighfibre breakfast consumers is less than Mean Calories consumedat lunch by lowfibre breakfast consumers ie1 2while the alternativehypothesis is given byH1 There is no difference betweenthe two population means ie Mean Calories consumed at lunch byhighfibre breakfast consumers is less than Mean Calories consumedat lunch by See Answer

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