Putting the tiles in order;
a university is conducting a survey to study the number of hours students sleep at night during exam week. a sample of 20 students was drawn, and these responses were obtained: 6.5, 5, 8, 5.5, 7, 4, 4.5, 5, 6, 5.5, 4, 7.5, 6, 7, 8, 5, 6, 6.5, 6.5, 5. the standard deviation of the population mean is 2 hours.
arrange the steps in the correct sequence to find the range in which 95% of the sample mean occurs.
tiles are:
1. the range in which 95% of the sample mean occurs
= 5.93 + 2 × 0.45 and 5.93 − 2 × 0.45
= 6.83 hours and 5.03 hours.
2. the sample mean is /u = 118.5/20=5.93
3. calculate the standard deviation.
4. the 20 students' total number of study hours
is 118.5 hours.
5. the standard error of the mean of the sample is sigma/sqrt n = 2/sqrt 20 = 0.45
6. the range in which 95% of the sample mean occurs is /u +- 2 x sigma/ sqrt n.
only need 5 steps
.

Step 1 = Tile 4

Step 2 = Tile 2

Step 3 = Tile 5

Step 4 = Tile 6

Step 5 = Tile 1

Step-by-step explanation:

We are given A sample of 20 students was drawn, and these responses were obtained: 6.5, 5, 8, 5.5, 7, 4, 4.5, 5, 6, 5.5, 4, 7.5, 6, 7, 8, 5, 6, 6.5, 6.5, 5.

So, First Find the sum of the number of hours students sleep at night

So, 6.5+5+ 8+ 5.5+ 7+4+ 4.5+ 5+ 6+ 5.5+ 4+ 7.5+ 6+7+8+5+6+6.5+6.5+ 5= 118.5

So, The 20 students' total number of study hours  is 118.5 hours.

So, Step 1 = Tile 4

Now find the sample mean :

So,  

So, Step 2 = Tile 2

Now standard deviation is given S.d. = 2

Now find the The standard error of the mean of the sample

Formula :

So, standard error =  

So, Step 3 = Tile 5

Now formula of Range  in which 95% of the sample mean occurs=

So, Step 4 = Tile 6

Now substitute the values in formula  

So,

So, Step 5 = Tile 1

1. The range in which 95% of the sample mean occurs  

= 5.93 + 2 × 0.45 and 5.93 − 2 × 0.45  

= 6.83 hours and 5.03 hours.