Question 1197158
<pre><font face = "consolas" color = "indigo" size = 3><b>
Hi  
 <pre><font face = "consolas" color = "indigo" size = 3><b>
Hi
 Let Y = score on exam at time 2 - score on exam at time 1.
  Y = {3,7,3,3}   µ = 4 and σ = 2    SE = 1

Ho: Y = 0    |  Ho must include =, ≤ , 0r  ≥ 
Ha: Y > 0  Claim
'one-sided' 
 {{{t =blue (x - mu)/blue(sigma/sqrt(n))}}}
  {{{t =blue (0 - 4)/blue(2/sqrt(4))}}}  = -4   

At 95% Confidence Level, critical value = 3.122 | =CONFIDENCE(alpha,standard_dev,size) = =CONFIDENCE(.05,2,4) = 3.182
If the absolute value of the t-value is greater than the critical value, you reject the null hypothesis.
|-4| > 3.122 Reject Ho
The test results support the claim that the Special class had a positive effect

Wish You the Best in your Studies.
</font></b></pre>