need help with stats/2023, section 7.2 and 7.3, please help with TI-84 commands   A car company says that the mean gas mileage for its luxury sedan is at least 22 miles per gallon​ (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 21 mpg and a standard deviation of 5mpg. At α=0.10​, test the​ company's claim. Assume the population is normally distributed.   Which sampling distribution should be used and​ why?   A.  Use a normal sampling distribution because the population is​ normal, and σ is known.   B. Use a normal sampling distribution because the population is​ normal, and σ is unknown.   C.  Use a​ t-sampling distribution because the population is​ normal, and σ is unknown.   D. Use a​ t-sampling distribution because n<30.   E.  Use a​ t-sampling distribution because the population is​ normal, and σ is known F.  Use a normal sampling distribution because n>30.   Write out the appropriate hypotheses to test and state the claim: Ho: Ha:     What is the value of the standardized test statistic? The standardized test statistic is _______________. (round to 2 decimal places as needed.)   What is the critical value? The critical value is _______________ (round to 3 decimal places as needed)   What is the outcome and the conclusion of the test?   (1) ___________ (reject or fail to reject) Ho. At the 10% significance level, there is (2) ___________ (sufficient or insufficient) eveidence to (3)__________________ ( reject or support) the car company's claim that the mean gas mileage for the luxury sedan is at least 22 miles per gallon.

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I need help with stats/2023, section 7.2 and 7.3, please help with TI-84 commands

 

A car company says that the mean gas mileage for its luxury sedan is at least

22 miles per gallon​ (mpg). You believe the claim is incorrect and find that a random sample of 5

cars has a mean gas mileage of 21 mpg and a standard deviation of 5mpg. At α=0.10​,

test the​ company's claim. Assume the population is normally distributed.

 

Which sampling distribution should be used and​ why?

 

A.  Use a normal sampling distribution because the population is​ normal, and σ is known.
 
B. Use a normal sampling distribution because the population is​ normal, and
σ is unknown.
 
C.  Use a​ t-sampling distribution because the population is​ normal, and σ
is unknown.
 
D. Use a​ t-sampling distribution because n<30.
 
E.  Use a​ t-sampling distribution because the population is​ normal, and
σ is known
F.  Use a normal sampling distribution because
n>30.
 
Write out the appropriate hypotheses to test and state the claim:
Ho:
Ha:
 
 
What is the value of the standardized test statistic?
The standardized test statistic is _______________. (round to 2 decimal places as needed.)
 
What is the critical value?
The critical value is _______________ (round to 3 decimal places as needed)
 
What is the outcome and the conclusion of the test?
 
(1) ___________ (reject or fail to reject) Ho. At the 10% significance level, there is (2) ___________ (sufficient or insufficient) eveidence to (3)__________________ ( reject or support) the car company's claim that the mean gas mileage for the luxury sedan is at least 22 miles per gallon.  
 
 
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