11. Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. The distribution of the contents is normal with standard deviation of 3 ml. A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4 | 297.7 | 301.0 | 298.9 | 300.2 | 297.0 Is this convincing evidence that the mean contents of cola bottles is less than the advertised 300 ml? Test at the 5% significance level.
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Bottles of a popular cola are supposed to contain 300 milliliters (ml) of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. An inspector measures the contents of six randomly selected bottles from a single day's production. The results are $$ \begin{array}{llllll} 299.4 & 297.7 & 301.0 & 298.9 & 300.2 & 297.0 \end{array} $$ Do these data provide convincing evidence that the mean amount of cola in all the bottles filled that day differs from the target value of $300 \mathrm{ml} ?$
Testing a Claim
Tests about a Population Mean
Filling cola bottles Bottles of a popular cola are supposed to contain 300 milliliters (ml) of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. From experience, the distribution of the contents is approximately Normal. An inspector measures the contents of six randomly selected bottles from a single day’s production. The results are 299.4$\quad 297.7 \quad 301.0 \quad 298.9 \quad 300.2 \quad 297.0$ Do these data provide convincing evidence that the mean amount of cola in all the bottles filled that day differs from the target value of 300 $\mathrm{ml}$ ? Carry out an appropriate test to support your answer.
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Qudsiya A.
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