Computing degrees of freedom for f statistic

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Q1) Determine the critical value for one-tailed hypothesis test in which a null hypothesis is tested at 5% level of significance based on sample size of 25?

 

Q2) A large department store examined sample of the 18 credit card sales and recorded amounts charged for each of three kinds of credit cards: MasterCard, Visa and Discover. Six MasterCard sales, seven Visa and five Discover sales were recorded. Store used ANOVA to test if mean sales for each credit card were equal. What are the degrees of freedom for F statistic?

 

Q3) If critical z-value for test statistic equals 2.45, what value of test statistic would guarantee no chance of making a Type I error?

 

Q4) What is our decision for goodness-of-fit test with computed value of chi-square of 1.273 and critical value of 13.388?

 

Q5)  A manufacturer wishes to increase absorption capacity of sponge. Based on past data, average sponge could absorb 3.5 ounces. After redesign, absorption amounts of a sample of sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. Find the decision rule at 0.01 level of significance to test if new design increased the absorption amount of sponge?

 

Q6) Two chi-square distributions were plotted on same chart. One distribution was for 3 degrees of freedom and other was for 12 degrees of freedom. Which distribution would tend to approach a normal distribution?

Reference no: EM1319539

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