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Find the critical value of t given thefollowing.

1. t_0.05 for a t-distribution with 34 degrees offreedom
   1. 1.691                            b.   2.728                      c.   2.032                       d.   2.441

Use the confidence level and sample data to find themargin of error E.

1. Weights of eggs: 90% confidence;  n =40,  = 1.54 oz.,  s = 0.41 oz.
   1. 0.107oz.                      b.   0.109oz.                 c.   0.112oz.                 d.   0.030oz.

Use the confidence level and sample data to find aconfidence interval for estimating the population μ.

1. Weights of eggs: 90% confidence;  n =40,  = 1.54 oz.,  s = 0.41 oz.
   1. 1.433 < μ<  1.647         b.   1.428< μ <1.652     c.  1.431  <μ<  1.649    d.   1.51< μ <  1.57

Find the margin of error.

1. 99% confidence interval; n =  101;  =  27,  s =  5.2

1. 1.027                            b.  1.33                         c.  1.01                         d.  1.36

In the following problems use the given degree ofconfidence and sample statistics to construct a confidence intervalfor the population mean µ. Then interpret the results.

1. A laboratory tested twelve eggs and found that the averageamount of cholesterol in each egg was 185 milligrams, with a samplestandard deviation of 17.6 mg. Construct a 95% confidence intervalfor the mean cholesterol content in a typical egg.

1. 173.8 mg < μ < 196.2 mg
2. 173.7 mg < μ < 196.3mg                 
3. 175.9 mg < μ < 194.1 mg
4. 173.9 mg < μ < 196.1 mg