Which of the following scenario is free of social desirability bias? o a psychologist counts how many digits a 70 years old man can remember parents report number of hours their children spend on social media a day o a researcher observes a married couple discuss their recent argument. o a doctor asks patients how many cigarettes they smoke in a week

A psychologist counts how many digits a 70 years old man can remember.

Step-by-step explanation:

The social desirability bias is the tendency of survey responders to answer in a way that it will make them look better to the eyes of the examiner.

a) A psychologist counts how many digits a 70 years old man can remember: in this case, the man cannot control the total amount of digits he can remember, therefore, this study is free of social desirability bias.

b)  Parents report number of hours their children spend on social media a day: In this case, parents can lie about the number of hours their kids spend on social media to make it look as they have a good style of parenting. Therefore, this study is not free of social desirability bias.

c)  A researcher observes a married couple discuss their recent argument: In the case that the couple knows they are being observed, we can expect them to behave differently than how they would behave if they weren't being observed (this is a bias observed in psychology), therefore this is not free of social desirability bias.

d) A doctor asks patients how many cigarettes they smoke in a week: again, people could lie and give a smaller number to look better to the eyes of the doctor, therefore this is not free of social desirability bias.

b)

x = 3 hotdogs

y = 7 hamburgers

Step-by-step explanation:

Steve went to the concession stand and bought hamburgers and hot dogs for the kids he brought to watch a baseball game. Each child chose either one hamburger or one hotdog. Hot dogs cost $1.50 each and hamburgers cost $2.75 each. Steve spent a total of $23.75 on 10 kids.

(a) Could Steve have bought an equal amount of hamburgers and hot dogs? Justify your answer.

An

(b) If x represents the number of hotdogs purchased and y represents the number of hamburgers purchased, write a system of equations that models this situation and determine the number of both items bought.

Let:

x = the number of hotdogs purchased y = the number of hamburgers purchased

Since the number of kids = 10

Our system for Equation is given as:

x + y = 10 Equation 1

x = 10 - y

x × $1.50 + y × $2.75 = $23.75

1.5x + 2.75y = 23.75

Let us substitute 10 - y for x in Equation 2

1.5(10 - y) + 2.75 = 23.75

15 - 1.5y + 2.75y = 23.75

- 1.5y + 2.75y = 23.75 - 15

1.25y = 8.75

y = 8.75/1.25

y = 7 hamburgers

Solving for x

x = 10 - y

x = 10 - 7

x = 3 hotdogs

Therefore,

x = 3 hotdogs

y = 7 hamburgers