It is believed that lake tahoe community college (ltcc) intermediate algebra students get less than seven hours of sleep per night, on average. a survey of 22 ltcc intermediate algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. at a level of significance of 5%, do ltcc intermediate algebra students get less than seven hours of sleep per night, on average?

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.

As per given , we have

, since 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),

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.]

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.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: