Question

A study was conducted to test whether marijuana use impacts your short-term memory. A simple random sample of college students that do NOT use marijuana was taken, and given a memory test in which they were shown items in a particular order then asked to recreate that ordering. A second simple random sample was taken of college students that use marijuana 4 - 7 days per week, and they were given the same memory test. A higher score on the memory test indicates better memory recall. un indicates the population mean memory recall score for non-users. uz indicates the population mean memory recall score for marijuana users. The 95% confidence interval for the difference of means was found to be: 1<ji - M2 < 13.2 Can we support the claim that marijuana users have less short-term memory than non-users? Yes No Why or why not? B I X X? A Edit E Insert 3 Formats E-I y e A- N D -> + I
PLEASE HELP W BOTH QUESTIONS!!!!

THANK YOU SO SO MUCH!

Answer 1

let us consider the null and alternative hypothesis is

H0:$\mu _{1}=\mu _{2}$

H1:$\mu _{1}>\mu _{2}$

where $\mu _{1}$ population mean score for non-users

and $\mu _{2}$ the population mean score for users

the 95 % confidence interval is

$1<\mu _{1}-\mu _{2}<13.2$

since confidence interval contains only positive values so

yes we can support the claim.

let us consider the null and alternative hypothesis is

$H0:\mu _{d}=0$

$H1:\mu _{d}>0$

the 99% confidence interval is given by

$-0.4<\mu _{d}<3.9$

since confidence interval contain 0

N0, we are not sure that male twins are heavier than female