The following data represent the time to tumor progression, measured in month, for 65 patients having a particular type of brain tumor called glioblastoma   6,5,37,10,22,9,2,16,3,3,11,9,5,14,11,3,1,4,6,2,7 3,7,5,4,8,2,7,13,16,15,9,4,4, 2,3,9,5,11,3,7,5,9 3,8,9,4,10,3,2,7,6,9,3,5,4,6,4,14,3,12,6,8,12,7        Make up a relative frequency table for this data set. Plot the relative frequency in a histogram. Is the data set approximately symmetric?

The Bureau of Labor Statistics provides the following data about U.S. workers ages 16 and older who were paid hourly rates in 2021. The table shows, overall and separately for men and women, the number of workers (in thousands, so that the upper left value of 76,125 represents over 76 million individuals) who were paid hourly that year and the number who earned the federal minimum wage or less. Characteristic Total, 16 years and older Men, 16 years and older Women, 16 years and older Number of workers (in thousands) Total paid hourly rates 76,125 38,089 38,036 At or below minimum wage 1,091 398 693 Express the value "693 thousands" in the table (lower right cell) as a sentence in context. There are 693 women 16 years and older who earned the federal minimu, wage or less. Fill in the blanks with the appropriate supporting evidence computed from the data table. Give all numerical answers as a number between 0 and 1, rounded to 3 decimal places (for ex., 0.111, no text). A U.S. worker…

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.   State the null and alternate hypotheses. H0: p = 0 .7; H1: p < 0.7 H0: p ≠ 0.7; H1: p = 0.7     H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 H0: p = 0.7; H1: p > 0.7   What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5.     The Student's…

How many cells does a bivariate table have with three categories?

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 37 arrests last month, 22 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.

Age-related Macular Degeneration (AMD) is a common eye condition leading to vision loss. It causes damage to the macula, a small spot near the center of the retina (the part of the eye needed for sharp, central vision). Researchers are interested in the experiences of people who have been diagnosed with early-onset AMD. In particular the researchers are interested in whether the mean age at diagnosis of all people with early-onset AMD is less than 55 years. A random sample of 20 people with early-onset AMD gave the following data on age at diagnosis, in years. Patient 12 3 4 5 6 7 8 9 10 Age at diagnosis 50 58 52 58 49 58 51 61 54 59 Patient 11 12 13 14 15 16 17 18 19 20 Age at diagnosis 53 44 46 47 42 56 57 49 41 43 (d) State the conclusion of the test at the 5% level of significance. (e) Discuss why or why not an approximate normal test is appropriate here. (f) Perform an approximate normal test on the data at the 5% level. (g) Stating appropriate hypotheses perform the Student-t…

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 24 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.   (a) What is the level of significance?   State the null and alternate hypotheses. H0: p = 0.7; H1: p > 0.7 H0: p ≠ 0.7; H1: p = 0.7     H0: p = 0 .7; H1: p < 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7   (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal,…

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 22 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.   (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0 .7; H1: p = 0.7H0: p = 0 .7; H1: p < 0.7    H0: p = 0.7; H1: p > 0.7H0: p ≠ 0.7; H1: p = 0.7H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5…