Does Early Language Reduce Tantrums? A recent headline reads "Early Language Skills Reduce Preschool Tantrums, Study Finds"1, and the article offers a potential explanation for this: "Verbalizing their frustrations may help little ones cope." The article refers to a study that recorded the language skill level and the number of tantrums of a sample of preschoolers.

Incomplete question. I guess this is the part you need to complete the question;

Does Early Language Reduce Tantrums? A recent headline reads "Early Language Skills Reduce Preschool Tantrums, Study Finds," and the article offers a potential explanation for this: "Verbalizing their frustrations may help little ones cope." The article refers to a study that recorded the language skill level and the number of tantrums of a sample of preschoolers and found that those with better early language skills had fewer tantrums.

Assume that the sample used is representative of the population of all toddlers. Is this an observational study or a randomized experiment?  

an observational study

Step-by-step explanation:

We note here that the study recorded observed behaviors such as language skills level and the number of tantrums but without trying to influence or change the results. This makes the study observational in nature since the researchers only observed the effect of a factor (the language skill level) on the sample of preschoolers.

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: