Question

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.      

Ho:μ=74.5
Ha:μ<74.5

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=13with mean ¯x=72.4 and a standard deviation of s=14.8

1. What is the test statistic for this sample?
   
   test statistic =  Round to 3 decimal places
   
2. What is the p-value for this sample?
   
   p-value =  Use Technology Round to 4 decimal places.
   
3. The p-value is...
   • less than (or equal to) αα
   • greater than αα
   
   
4. This test statistic leads to a decision to...
   • reject the null
   • accept the null
   • fail to reject the null
   
   
5. As such, the final conclusion is that...
   • There is sufficient evidence to warrant rejection of the claim that the population mean is less than 74.5.
   • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 74.5.
   • The sample data support the claim that the population mean is less than 74.5.
   • There is not sufficient sample evidence to support the claim that the population mean is less than 74.5.

Answer 1

Page No. Page No. S = 14.8 2= o. & n=13 x=72.4 this Hoi u=74.5 Hai M<74.5 The test Statistic - To test for this Sample is Statistic The test Statistic is 7204 - 74.5 14.8 J13 = -0.5116 The p-value of the Sample is t = -0.5116 of 12 The p-value is O.3091

lose than equal (d = 0.02) The lost Statistic leads to decision accept the hull hypothesis. becauce Calculated p-value is greater than - Volve As, no final conclusion is that There is not sufficient sample evidence to support the claim Shat the lation moon is less than 74.5.