A manufacturer claims that the mean amount of juice in its 473 m L 473 \mathrm {~mL} 473 mL bottles is 476 mL.A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.The hypotheses are: H0: ? = 476 mLHA: ?

Question

A manufacturer claims that the mean amount of juice in its

\mathrm {~mL}

bottles is 476 mL.A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.The hypotheses are: H0: ? = 476 mL
HA: ? < 476 mL
Explain the result of a Type I error.

A) The advocacy group will conclude that the mean amount of juice is 476 mL when in fact it is 476 mL.
B) The advocacy group will conclude that the mean amount of juice is greater than 476 mL when in fact it is 476 mL.
C) The advocacy group will conclude that the mean amount of juice is less than 476 mL when in fact it is 476 mL.
D) The advocacy group will conclude that the mean amount of juice is less than 476 mL when in fact it is less than 476 mL.
E) The advocacy group will conclude that the mean amount of juice is 476 mL when in fact it is less than 476 mL.

Khujabek Ibragimov · Accepted Answer

Final Answer : C, Explanation :  A Type I error occurs when the null hypothesis is rejected, but it is actually true. In this case, if the advocacy group concludes that the mean amount of juice is less than 476 mL, when in fact it is 476 mL, they have made a Type I error. This means that they have falsely rejected the null hypothesis and concluded that there is evidence to support the alternative hypothesis when there is not.

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