In a normally distributed data set a mean of 31 where 95% of the data fall between 27.4 and 34.6, what would be the standard deviation of that data set? Homework Help: 4VG. Empirical Rule with examples (4:38) 4DE. Standard scores and the Empirical Rule (DOCX) O 2.6 O 7.6 O 1.8 3.1

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 57 and 69 ounces? c) What percentage of the widget weights lie above 54 ? 0.15% -3s 2.35% -25 13.5% -1s 34% 34% 1s 13.5% 2s 2.35% 3s and 0.15% % %

2b please

Lecture(10.8): The Peabody Picture Vocabulary Test has a standard score mean of 100 and a standard deviation of 15. You tested a class of grade 2 students wonderinf if these scores would be different  from the population. After testing this hypotheses  you decided to continue looking at this data  to determine if there are any group differences based on birth order. You group the children the on whether  they are the oldest chlid, middle child, or the youngest child. Here is the data based on grouped information.   Oldest child:       87       84     98     104      106      91       96   92 Middle child:       65      74      62      60         73       64       71    78 Youngest child:   115     84      85     83        95        94     108   102    89 Test the hypotheses at (alpha=0.05) level of signifance using the 5 step procedure.Make sure to clearly state the null and alternative hypotheses.Round your answer to 2 decimal. You are encouraged to use the following table to help you…