Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.
Step-by-step explanation:
Let  denotes the average hours of sleep per night.
 denotes the average hours of sleep per night.
As per given , we have

, since  is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.
 is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.
Also , it is given that ,
Sample size : n= 22
Sample mean : 
Sample  standard deviation : s= 1.93
Test statistic : 
i.e.  
For significance level  and degree of freedom 21 (df=n-1),
 and degree of freedom 21 (df=n-1), 
Critical t-value for left-tailed test= 
Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .
[Note : When  , then we accept the null hypothesis.]
, then we accept the null hypothesis.]
Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.