Suppose a random sample of 1176 adults from your town are surveyed. The table below shows the results of the survey.   Outcome Observed Frequency Blue Collar 235 White Collar 365 Pink Collar 529 Unemployed 47  The job type distribution for the entire state are summarized in second column of the table below.  Fill in the expected frequencies. Outcome Expected Percent Expected Frequency Blue Collar 22   White Collar 28   Pink Collar 46   Unemployed 4

2. Given the following observations from a sample, calculate the mean, the median, and the mode. 4 0 -6 1 -3 -4

4. Suppose that 15% of all students at your school ride a bicycle to class each day. Suppose further that you take a random sample of 80 students at your school. a. Is 15% number a parameter or a statistic? Explain briefly. b. Are you guaranteed that 15% of your sample ride a bicycle to class each day? Explain briefly. c. Describe the sampling distribution of the sample proportion of these 80 students who ride a bicycle to class each day. (Hint: Be sure to refer to the shape, center, and spread of this sampling distribution.) Also include a well- labeled sketch of this distribution. HCL SYstem

The average house has 14 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 14 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 15, 13, 16, 16, 17, 14, 14, 15, 13, 13, 15, 16, 15, 16 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer v H: ?v Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean number of paintings that are in teachers' houses is not significantly more than 14 at a = 0.01, so there is insufficient evidence to conclude that…