Question

Please answer both ill appreciate it. I tried doing them & have an answer but I want them checked before I hand it in.

10 A large study involving over 20,000 individuals shows that the mean percentage intake of kilocalories from fat was 39% with a range from 6% to 72%. A small sample study was conducted at a university hospital to determine if the mean intake of patients at that hospital was different from 39%. A sample of 15 patients had a mean intake of 40.8% with a standard deviation equal to 6.5%. Assume that the sample is from a normally distributed population. Use a 5% level of significance. a). State your hypotheses for the test: [4] b). Determine the critical value or the p-value. [4] c). From the question determine the important data with its corresponding notations. [4] d). Calculate the test statistic for this scenario. [4] e). Make the necessary decisions and state your conclusions. [4]

Answer 1

108000 108000 96000 12500 9) Null hypothesis;HO: u= Alternative hypothesis H1: u< Sample mean: x = Population s.d: Sample size: Level of significance: Critical value za = Decision rule: Reject Ho if Z< Test statistic: O= n= 35 0.05 -1.645 -1.645 X - u -5.68 p-value: For z= -5.68 The left tailed p-value is 6.7347E-09 Decision: Since p-value is <a, reject HO

10) Null hypothesis;HO: Alternative hypothesis;H1: Sample mean: 40.8 given Sample size: given given Sample standard deviation: n= S= n-1= a= 15 6.5 14 0.05 Degrees of freedom: Level of significance : given and - = 0.025 Critical values: ta/2 = 2.145 from t table Rejection region :tc -2.145 or t> 2.145 Standard error: T = 1.6783 = 1.6783 Test statistic: " 1.073 14 p-value: For t= 1.073 with df= the two tailed p-value is 0.3014|| Decision: Since p-value > a, fail to reject HO