Question

You’re investigating whether Ike not a new eating plan leads to participants consuming an amount of calories different from the recommended 2000 calories. This is your data:

1780

1621

1555

2005

1930

1848

1892

1652

After performing a one sample t test select the correct options to fill in the blanks:

The data was analyzed using a one sample t-test. The data was (significant/not significant), the effect size was ____, t(7) = ______, p= ______, d= ____. The sample data (M=______, SD=_______) ____ significantly different from the value of 2000.

Options: 161.4, -0.968, 1785, -0.342, 1958, 0.007, -1.330, -3.761, large, was, was not

Answer 1

Ho :   µ =   2000
Ha :   µ ╪   2000
      
Level of Significance ,    α =    0.05
sample std dev ,    s =    161.4009537
Sample Size ,   n =    8
Sample Mean,    x̅ =   1785.375
      
degree of freedom=   DF=n-1=   7
      
Standard Error , SE =   s/√n =   57.0639
      
t-test statistic=   (x̅ - µ )/SE =    -3.7611
      
critical t value, t*   =   2.3646
      
p-Value   =   0.0071
Conclusion:     p-value<α, Reject null hypothesis

Cohen's d=|(mean - µ )/σ|=   -1.330

|cohens d| >1 , means large effect

  
After performing a one sample t test select the correct options to fill in the blanks:
The data was analyzed using a one sample t-test. The data was (significant/not significant), the effect size was __-1.330__, t(7) = ___-3.761___, p= ___0.007___, d= __large__. The sample data (M=__1785____, SD=__161.4_____) __was__ significantly different from the value of 2000