Perform the left tailed and two sided hypothesis tests with the
following information.
2-1 The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated that the standard deviation of breaking strength is o= 3 psi. A random sample of four specimens is tested. The results are y,=145, y =153, y;=150 and y=147. (a) State the hypotheses that you think should be tested in this experiment. He: u=150 H: 1> 150 (b) Test these hypotheses using a=0.05. What are your conclusions? n=4, o=3, y = 1/4 (145 + 153 + 150+ 147) = 148.75 -0.8333 J-H 148.75-150 -1.25 3 3 To 2 TA Since 20.05 = 1.645, do not reject. (c) Find the P-value for the test in part (b). From the z-table: P21-[0.7967 +(2/3)0.7995 – 0.7967)]=0.2014 (d) Construct a 95 percent confidence interval on the mean breaking strength. The 95% confidence interval is J-22. in sus5+24. In 148.75 -1.96/3/2)su s 148.75 +(1.96/3/2) 145.81 sus 151.69
Perform the left tailed and two sided hypothesis tests with the following information.
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