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? 820 700 1283 672 488 624 What are the hypotheses? O A. H: 1000 hic HH2 1000 hic Oc. Ho 1000 hic H<1000 hic OB. Ho: <1000 hic H 1000 hic OD. Ho > 1000 hic H<1000 hic Identify the test statistic. (Round to three decimal places as needed) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to support the claim that the sample is from a population with a mean less than 1000 hic. ? Click to select your answer(s). N hulu

Answer 1

Solution & Hypothesis - © Ho: M=1000 hic Hi & M < 1000 hie Test statisties - Х B20 n=6 (X-A) 54 X-A) 2 Mean =(x) = a = 4594 766 2916 3249 -57 517 8=766 = Allet) 709 1283 672 624 -94 -142 267289 8836 20164 77284 379738 = Sym 488 278 Sample standard deviation (S) {(x-4)2 379738 S = ny 6-1 4596 O S = 275. 5859 (766-1000) =-2.07986 5 -2.080 t = X-4 slun 29.5.5859 9/16 t = 2.080 7 p-value P. values plt (-2,080) at cf = Nhu 6-1 = 5 =0.046 IP-value=0.0460 =) Conclusion (PXQ=0.01) fail to dejeet Ho. Fail to reject Ho, there is not sufficient evidence to support the claim that the sample is from a population with a mean les than 1ooo hic. = spedfied requirements There is not strong evidence that the mean is less than 1000 hic, and one of the booster Beats has a measurement that is greater than 1000 hic, B.