Four students (A–D) each performs an analysis in which exactly 10.00 mL of exactly0.1M sodium hydroxide is titrated with exactly 0.1M hydrochloric acid. Each studentperforms five replicate titrations, with the results shown in the table below. Commenton the accuracy, bias, and precision of each student. Use 5% level of significance.Student A Student B Student C Student D10.08 9.88 10.19 10.0410.11 10.14 9.79 9.9810.09 10.02 9.69 10.0210.10 9.80 10.05 9.9710.12 10.21 9.78 10.04
A sample of 87 professional working women showed that the average amount paid annually into a private pension fund per person was $3352. The population standard deviation is $1100. A sample of 76 professional working men showed that the average amount paid annually into a private pension fund per person was $5727, with a population standard deviation of $1700. A women’s activist group wants to “prove” that women do not pay as much per year as men into private pension funds. If they use and these sample data, will they be able to reject a null hypothesis that women annually pay the same as or more than men into private pension funds? Use the eight-step hypothesis-testing process.
4. A group of n people are comparing their birthdays. Assume that their birthdays are independent of each other. For simplicity, assume that a year has 360 days (rather than 365 or 366). For (a), assume that these 360 days are all equally likely as birthdays.(a) Let X be the number of sets of three different people such that the three people in the set share the same birthday as each other. Find E(X).
The probability that the first car starts is 0.80 and the probability that the second car starts is 0.40. There is a probability of 0.30 that both the cars start.