\begin{tabular}{|l}\hline Question 14 \\ The z-test is used if the researcher knows \( \mu \) and \( \sigma \) in a normally distributed population. \\ True \\ False \end{tabular}

Что такое диаграмма рассеяния и для чего она используется?

a. Dans une série statistique, s'il y a autant de don- nées supérieures à 12 que de données inférieures à 12, alors la moyenne est obligatoirement égale à 12 . b. La taille moyenne de n'importe quel groupe d'en- fants mesurant entre \( 1,40 \mathrm{~m} \) et \( 1,50 \mathrm{~m} \) est \( 1,45 \mathrm{~m} \). c. Un magasin a en stock 100 pulls dont \( 10 \% \) sont noirs et 200 tee-shirts dont \( 70 \% \) sont noirs. On peut en conclure que la moitié de ces vêtements sont noirs.

Question 10 Based on past experience, a bank believes that \( 9 \% \) of the people who receive loans will not make their payments on time. The bank has recently approved 200 loans. a. Write about and check each of the conditions needed in the context of this situation to use the sampling distribution for the proportion of people who will not make their payments on time (Central Limit Theorem). Conditions: \( \begin{array}{l}\text { distritution for the proportion of people who make their payment on } \\ \text { time based on the cental limit theorem. we can proceeds to analyze } \\ \text { the proportion of the sameple that does not make payment on time } \\ \text { using normal approximation methods. } \\ \text { What are the mean and standard deviation of this model? } \\ \text { b. Mean = } 18 \\ \text { c. Standard deviation (accurate to } 4 \text { decimal places) }=4.047 \\ \text { d. What is the probability that } 10 \% \text { or more of these clients will not make timely } \\ \text { payments to } 4 \text { decimal places? } 0.311 \text {. } \\ \text { Question Help: } \square \text { Message instructor } \\ \text { Add Work }\end{array} \).

Question 8 The heights of 10 -year-olds, regardless of gender, closely follow a Normal distribution with a mean of 56 inches and a standard deviation of 5 inches. a. What is the probability that a randomly chosen 10 -year-old is shorter than 48 inches? (Round to 4 decimal places.) b. If the tallest \( 10 \% \) of the class is considered "very tall", what is the height cutoff for "very tall"? (Round to 2 decimal places.) [SAB2]

The direction of Pearson's \( r \) is determined by