The 106 students who were deficient in ESL classes this fall at the national campus had a sample mean x number of deficiencies of 1.68 with a standard deviation of 0.97. The population mean number of defiencies carried by all deficient students is µ = 1.92. Run a hypothesis test to determine whether the ESL students have a different mean number of deficiencies at a significance level of 5%?
Statistic or Parameter | Symbol | Equations | Excel |
---|---|---|---|
Hypothesis Testing | |||
Degrees of freedom | df | = n-1 | =COUNT(data)-1 |
Calculate a t-statistic (t) | t | (x - µ)/(sx/sqrt(n)) | |
Calculate t-critical for a two-tailed test | tc | =TINV(α,df) | |
Calculate a p-value from a t-statistic t | p | = TDIST(ABS(t),df,#tails) |