Question
In: Statistics and Probability
Assume that a simple random sample has been selected from a normally distributed population and test...
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.)
Solutions
Expert Solution
| 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 |
orchestra answered 1 year agoRelated Solutions
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