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PLEASE SHOW WORK. It is necessary to round a probability to 2 decimal places. I must...

PLEASE SHOW WORK. It is necessary to round a probability to 2 decimal places. I must understand so clear writing is much appreciated.

All test of hypotheses are to be done at the 5% level of significance and all confidence intervals are to be 95% unless otherwise stated.

3. A psychologist claims that the mean age at which children start walking is 12.5 month. Carol thought children need a longer time to start walking. She took a random sample of 18 children and find that the mean age at which these children started walking was 12.9 months with a standard deviation of 0.8 month. Do a hypothesis test about Carol’s guess.

a. State the null and alternative hypotheses. Let α=0.1.

b. What is the value of the test statistic for testing the hypotheses? (show your work)

c. What is the p value?

d. State your conclusion in one complete sentence and use words a non-statistician would understand,

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