hi everyone... i have this homework.. i tried to solve it... can anyone check if it's right or not, please??
Question:
The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.2 parts per million (ppm). A consumer health group measured the level of the chemical in a random sample of tomatoes obtained from one producer to determine whether the mean level of the chemical in these tomatoes exceeds the recommended limit.
Answers:
A. H0: ¦Ì < 0.2 ppm
Ha: ¦Ì > 0.2 ppm
B. H0: ¦Ì > 0.2 ppm
Ha: ¦Ì = 0.2 ppm
C. H0: ¦Ì = 0.2 ppm
Ha: ¦Ì > 0.2 ppm
D. H0: ¦Ì = 0.2 ppm
Ha: ¦Ì ¡Ý 0.2 ppm
--==--
I assumed that Ho is true
so mainly Ho: ¦Ì = 0.2 ppm
and since the consumer health group are trying to determine the mean level of the chemicals in tomatoes if they exceeds the max limit, So, i'll assume also Ha: ¦Ì > 0.2 ppm
and therefore the correct answer would be C
is that correct?? please reply to me ASAP.. Thank you
¦Ì = mu
You are right. However, if you have a Mac, you can type mu (µ) by using option + m keys. There should be something similar with a PC.
To determine whether the mean level of the toxic chemical in tomatoes exceeds the recommended limit of 0.2 parts per million (ppm), you need to set up the null and alternative hypotheses.
The null hypothesis (H0) represents the assumption of no effect or no difference, while the alternative hypothesis (Ha) represents the opposite or what you're trying to prove.
In this case, H0: μ = 0.2 ppm represents the null hypothesis that the mean level of the chemical in tomatoes is equal to the recommended limit.
The alternative hypothesis can be represented as Ha: μ > 0.2 ppm since you're testing whether the mean level of the chemical exceeds the recommended limit.
Looking at the answer choices given, option C is the correct one:
C. H0: μ = 0.2 ppm
Ha: μ > 0.2 ppm
So, your initial assumption and choice of answer C was correct. Well done!