00:01
Hello student, the given question a team of researchers studied the effect of sleep deprivation on decay of short -term memory.
00:09
So here 8 participants staged a day in a lap for 2 days.
00:16
Now 4 assigned were not to sleep and 4 assigned were allowed to sleep.
00:20
Based on result, that sleep deprivation reduced the short -term memory.
00:25
Here we have given alpha is equal to 0 .05 and here our null hypothesis is mu1 is equal to mu2 and here our alternative hypothesis is that mu1 is less than mu2.
00:41
That is sleep deprivation reduced the short -term memory.
00:45
So here for sleep, first we need to calculate mean and standard deviation.
00:54
Here we have given n1 that is equal to 4.
00:58
Now here x bar is calculated as sum of all observations divided by total number of observation and here standard deviation is the square root of variance that is summation of xi minus x bar square divided by n minus 1.
01:20
Now sum of all observations, so here 51 divided by 4 that is equal to 7 .75.
01:29
Here square root of 275 divided by 4 minus 1 is equal to 0 .95.
01:38
Similarly, for no sleep, here we have n2 is equal to 4 and here we have x bar 2 is equal to 35 divided by 4 that is equal to 8 .75 and s2 is equal to 1 .70...