Question

Find the critical value of t given the following.

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

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

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

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

3. 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.

4. 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 of confidence and sample statistics to construct a confidence interval for the population mean µ. Then interpret the results.

5. A laboratory tested twelve eggs and found that the average amount of cholesterol in each egg was 185 milligrams, with a sample standard deviation of 17.6 mg. Construct a 95% confidence interval for the mean cholesterol content in a typical egg.

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

Answer 1