Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those​ tests, with the measurements given in hic​ (standard head injury condition​ units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified​ requirement? 681     589     1168     541     520     485 What are the​ hypotheses? A. Upper H 0​: mu equals1000 hic Upper H 1​: mu less than1000 hic Your answer is correct.B. Upper H 0​: mu equals1000 hic Upper H 1​: mu greater than or equals1000 hic C. Upper H 0​: mu less than1000 hic Upper H 1​: mu greater than or equals1000 hic D. Upper H 0​: mu greater than1000 hic Upper H 1​: mu less than1000 hic Identify the test statistic. t equals nothing ​(Round to three decimal places as​ needed.)

Answer 1

sr.no.	x	x-x̅	(x-x̅)^2
1	681	17	289
2	589	-75	5625
3	1168	504	254016
4	541	-123	15129
5	520	-144	20736
6	485	-179	32041
Total	3984		327836
mean=x̅	Total/6
x̅=	664