Question

1. The distance in meters that a shoe can be used before first signs of wearing appears on it is taken from two samples of two top types of shoes from a brand. The chain wants to use this data to test the research (alternative) hypothesis that the mean distance for type 1 is lower than that of type 2.         

Hint: (use excel to calculate mean and std. dev. for each data set)    (6 marks)

Type 1 (in meters)	Type 2 (in meters)
250	269
367	312
181	267
299	245
185	239
111	261
192	288
283	307
225

1. What are the null and alternative hypothesis for this research?

2. Compute the test statistic used to test the hypothesis.

3. Compute the degree of freedom for the test statistic t.

4. Can the chain conclude that the mean distance for type 1 is lower than that of type 2? Use the critical-value approach and α = 0.05 to conduct the hypothesis test. ( Note :please do everything manually like using formulas for mean and variance so that i can understand)

Answer 1

As we fail to reject H0 wt 5% los, we conclude that the cliam is false that the mean distance for type 1 is lower than that of type 2.

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