The International Tennis Federation (ITF) requires that tennisballs have an average diameter of 6.7 centimetres. Tennis ballsbeing produced by one manufacturer are tested to see if they failto meet the ITF standard. A random sample of 10 tennis ballshad a mean diameter of 6.85 cm, with standard deviation 0.32 cm. Assume tennis ball diameter is normally distributed.
Enter your responses to all parts in the text boxbelow.
a) Choose the correct hypotheses to test the researchhypothesis that the manufacturer's tennis balls fail to meet theITF standard. (1 mark)
Write only the letter corresponding to the answer.

b) Perform the hypothesis test. (4 marks)
i.e. Calculate then state the test statistic value, the P-value andyour conclusion in the context of the question. Use ? =0.10.
c) Calculate then give a 90% confidence interval for the truemean diameter and interpret your interval. (3marks)
d) Comment on the hypothesis test conclusion from part b) inrelation to the confidence interval found in part c). (2marks)

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A. Ho: d = 0 Ha: Md > 0 B. Ho: M1 M2 Ha: M1 > C. Ho: M = 6.85 Ha6.85 D. Ho: y = 6.7 Ha: y = 6.85 E. Ho: M = 6.7 Ha: # 6.7 A. Ho: d = 0 Ha: Md > 0 B. Ho: M1 M2 Ha: M1 > C. Ho: M = 6.85 Ha6.85 D. Ho: y = 6.7 Ha: y = 6.85 E. Ho: M = 6.7 Ha: # 6.7