text - Calibri -0 11+ +BIU A O E = A researcher claims that the mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960. A random sample of 500 children (age 2) has a mean cost of $13,725. Assume the population standard deviation is $2345. At a = 0.10, is there enough evidence to reject the claim? (Adapted from U.S. Department of Agriculture Center for Nutrition Policy and Promotion) Name of TEST: One sample Z test Rejection Region method Are your conditions met? State the claim Ho HA Level of significance Calculate the Standardized Test Statistic 4 z= n use S. Critical Values And Region http://www.imathas.com/ stattools/norm.html Make a decision Interpret the Decision Decision Reject Ho Fail to reject H There is enough evidence to reject the claim. There is not enough 10/1 evidence to reject the claim Claim Claim is H. There is enough evidence to support the claim. There is not enough evidence to support the claim. Z-Test Inpt: Data Stats : 13 x: 12.9 N:39 : # 0 I > Color: Blue Calculate Draw z-Test < 13 z=-2.97729171 p=0.0014541048 x = 12.9 n= 32 ne sample Z/ Rejection Region Method & Extensions Help t Calibri |- - 11 + TURN IN BIUA C + State the claim Ho HA Level of significance Calculate the Standardized Test Statistic Z FIR n use S. Critical Values And Region http://www.imathas.com/ stattools/norm.html Make a decision sample Z/ Rejection Region Method nsions Help E TUR Calibri |- -11 + BI UA G+: Interpret the Decision Decision Reject Ho Fail to reject Ho Claim is H. There is enough evidence to reject the claim. There is not enough evidence to reject the claim. Claim Claim is H. There is enough evidence to support the claim. There is not enough evidence to support the claim. One sample Z/ Rejection Region Method Extensions Help ext Calibri \- 11 + BIUA G dawm Example 9: Testing with Rejection Regions Employees at a construction and mining company claim that the mean salary of the companys mechanical engineers is less than that of the one of its competitors, which is $68,000. A random sample of 30 of the companys mechanical engineers has a mean salary of $66,900 with a standard deviation of $5500. At a = 0.05, test the employees claim. $5 Name of TEST: One sample Z test Rejection Region method Are your conditions met? State the claim Ho HA Level of significance Calculate the Standardized Test Statistic TUR