4. The five-number summary below shows the grade distribution of a ST STAT 200 | Page 7

30-minute exercise every day for 6 months . The weight was recorded for each individual before and after the exercise regimen . Does the data below suggest that the regular exercise helps weight loss ? Assume Mimi wants to use a 0.05 significance level to test the claim
( a ) Identify the null hypothesis and the alternative hypothesis .
( b ) Determine the test statistic . Show all work ; writing the correct test statistic , without supporting work , will receive no credit .
( c ) Determine the p-value . Show all work ; writing the correct critical value , without supporting work , will receive no credit .
( d ) Is there sufficient evidence to support the claim that regular exercise helps weight loss ? Justify your conclusion
17 . ​In a pulse rate research , a simple random sample of 100 men results in a mean of 80 beats per minute , and a standard deviation of 11 beats per minute . Based on the sample results , the researcher concludes that the pulse rates of men have a standard deviation greater than 10 beats per minutes . Use a 0.05 significance level to test the researcher ’ s claim .
( a ) Identify the null hypothesis and alternative hypothesis .
( b ) Determine the test statistic . ​Show all work ; writing the correct test statistic , without supporting work , will receive no credit .
( c ) Determine the ​P-value for this test . ​Show all work ; writing the correct P-value , without supporting work , will receive no credit .
( d ) Is there sufficient evidence to support the researcher ’ s claim ? Explain