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.

hope this .

r3t40

step-by-step explanation:

im not sure what the answer is