A new petrol additive is under investigation. Eight cars are tested with 50 litres of petrol without the additive, and then re- tested with 50 litres of petrol with the additive included. The distances travelled (in kilometres) by each car are given in the table below. It is assumed that distance travelled is approximately normally distributed. 1 3 5 6. 7 8 Distance travelled without 505 524 677 582 656 559 635 595 additive Distance travelled with 530 516 695 547 704 571 623 625 additive In testing the hypothesis that the additive increases the distance travelled at the 5% level of significance, which one of the following statements is false? A. The absolute value of the critical value for the test is 1.8946 OB. This is a one-sided test C. The absolute value of the test statistic is 1.0350

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A new petrol additive is under investigation. Eight cars are tested with 50 litres of petrol without the additive, and then re-
tested with 50 litres of petrol with the additive included. The distances travelled (in kilometres) by each car are given in the
table below. It is assumed that distance travelled is approximately normally distributed.
1
3
8.
Distance
travelled without
505
524
677
582
656
559
635
595
additive
Distance
travelled with
530
516
695
547
704
571
623
625
additive
In testing the hypothesis that the additive increases the distance travelled at the 5% level of significance, which one of the
following statements is false?
OA. The absolute value of the critical value for the test is 1.8946
B. This is a one-sided test
C. The absolute value of the test statistic is 1.0350
Transcribed Image Text:A new petrol additive is under investigation. Eight cars are tested with 50 litres of petrol without the additive, and then re- tested with 50 litres of petrol with the additive included. The distances travelled (in kilometres) by each car are given in the table below. It is assumed that distance travelled is approximately normally distributed. 1 3 8. Distance travelled without 505 524 677 582 656 559 635 595 additive Distance travelled with 530 516 695 547 704 571 623 625 additive In testing the hypothesis that the additive increases the distance travelled at the 5% level of significance, which one of the following statements is false? OA. The absolute value of the critical value for the test is 1.8946 B. This is a one-sided test C. The absolute value of the test statistic is 1.0350
D. At the 5% level of significance there is sufficient evidence to support the alternative hypothesis that the additive increases the distanc
travelled
E. We fail to reject the null hypothesis in favour of the alternative
Reset Selection
Transcribed Image Text:D. At the 5% level of significance there is sufficient evidence to support the alternative hypothesis that the additive increases the distanc travelled E. We fail to reject the null hypothesis in favour of the alternative Reset Selection
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