5. According to data from the Environmental Protection Agency, the averag daily water consumption for a household of four people in the United Stat is approximately at least 243 gallons. Suppose a state agency plans to test this claim using an alpha level equal to 0.05 and a random sample of 100 households with four people. a) State the appropriate null and alternative hypotheses. b) Calculate the probability of committing a Type II error if the true population mean is 230 gallons. Assume that the population standard deviation is known to be 40 gallons.

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 0.05 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? 763  675 1153 668 572 711

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 0.05 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? 700 796          1277      682      623      614

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 0.05 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? 672 656 1286 594 551 609 D What are the hypotheses? O A. Ho: µ= 1000 hic O B. Ho: µ 1000 hic H1: µ< 1000 hic H,: µ< 1000 hic Identify the test statistic. t= (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal…

1) A data set lists earthquake depths. The summary statistics are n=400​, x=5.39 km, s=4.11 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? A. H0​: μ=5.00 km H1​: μ<5.00 km B. H0​: μ≠5.00 km H1​: μ=5.00 km C. H0​: μ=5.00 km H1​: μ≠5.00 km D. H0​: μ=5.00 km H1​: μ>5.00 km   2) Determine the test statistic.             (Round to two decimal places as​ needed.) Determine the​ P-value.             (Round to three decimal places as​ needed.)   3) State the final conclusion that addresses the original claim. (OPTION 1-Reject, OPTION 2- Fail to reject) H0. There is (OPTION 1-sufficient, OPTION 2-not sufficient) evidence to conclude that the mean of the…

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 0.05 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? 696 710 1062 602 568 496 D What are the hypotheses? Ο Α. HΟ: μ= 1000 hic H1:µ2 1000 hic Ο Β . H: μ 1000 hic H1:µ< 1000 hic H4:µ< 1000 hic

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 0.05 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?   a. Identify the test statistic.  t equals. ​(Round to three decimal places as​ needed.)   b. Identify the​ P-value.  The​ P-value is.  ​(Round to four decimal places as​ needed.)

3. The mean of a random sample of size 20 drawn from a normal population with a variance of 225 is 64.3. What is the critical value if the confidence level is 95%?

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 0.05 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? 685, 598, 1177, 568, 516, 458    x=  hic ​ s=  hic ​(Round to one decimal place as​ needed.) n=​(Type an integer or a​ decimal.) μx=  hic ​(Type an integer or a​ decimal.) ​P-value= ​(Round to four decimal places as​ needed.)

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 0.05 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? 629 679 1105 573 516 500 VWIlal dre ule nypotneses? O B. Ho: H = 000 hic H:µ 1000 hic H:µ<1000 hic H:µ2 1000 hic Identify the test statistic. t%3= (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as…