Please answer attached question. this is a timed assignment...

Archie is fed up with waiting in line at his local post office and decides to take action. Over the course of the next few months, he records the waiting times for each of a random selection of 25 post office visits made by him and other customers. These waiting times (in minutes) are summarized in the following histogram: Frequency 10 9 8 7 6 4 4 3 2 2 0 6 12 18 24 30 Waiting time (in minutes) Based on the histogram, find the proportion of waiting times in the sample that are less than 24 minutes. Write your answer as a decimal, and do not round your answer. l in ' |I__.l. ..__l.:__ hi. I The following data are the maximum temperatures (in degrees Fahrenheit) of 19 cities in the United States measured on the same day. 58, 85, 69, 66, 55, 60, 51, 63, 68, 65, 70, 78, 84, 79, 54, 65, 53, 67, 78 ' Send data E3 to Excel Using the tool provided, construct a box-and-whisker plot for the data. Quick Hel 43:} How do I draw a box-and-whisker plot? Q {El 50 55 60 65 70 75 80 8 5 Temperature (in degrees Fahrenheit) Clear Undo lm > ' Suppose that A and B are independent events such that P (I) = 0.30 and P (B) = 0.70 . Find P(A n B) and P(A U B) . (If necessary, consult a list of formulas.) III A decade-old study found that the proportion of high school seniors who felt that "getting rich'I was an important personal goal was 67%. Suppose that we have reason to believe that this proportion has changed. and we wish to carry out a hypothesis test to see it our belief can be supported. State the null hypothesis H0 and the alternative hypothesis H] that we would use for this test. > ' A leasing firm claims that the mean number of miles driven annually, [4, in its leased cars is less than 12320 miles. A random sample of 150 cars leased from this firm had a mean of 12028 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1340 miles. Is there support for the firm's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: The alternative hypothesis: The type of test statistic: (Choose one) 9 The value of the test statistic: (Round to at least three decimal places.) The pvalue: (Round to at least three decimal places.) Can we support the leasing rm's claim that the mean number of miles driven annually is less than 12320 miles? > ' The type of test statistic: I (Cheese one} Z t Chi- square The value of the test statistic: F (Round tn at least three denimal ' A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 25 of them were given multivitamin tablets daily which contain 3 grams of vitamin C and various other vitamins and minerals. The remaining 25 volunteers were given placebo tablets. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment following data are obtained: - Days to recover from cold Treated with 3.5, 3.8, 6.7, 5.5, 7.7, 6.8, 4.2, 5.4, 5.2, 6.2, 2.2, 4.6, 5.1, 3.8, 4.3, 4.2, 4.0, 2.6, 3.3, 8.1, 2.8, 5.3, 4.1, 6.2, multivitamin '7 Treated with 5.1. 7.3, 5.4. 5.4, 7.0. 2.5. 5.8. 4.9, 4.3, 3.1, 5.7, 2.3, 4.6, 4.5, 5.6, 1.2, 2.3, 4_7, s1, 55, 25, 45, 25, 29, placebo 2'3 ' S ddt It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, [A] , of the patients treated with multivitamin is not equal to the mean recovery time 92, of the patients who are treated with placebo tablets. At the 0.1 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: The alternative hypothesis: The type of test statistic: (Choose one) c The value of the test statistic: (Round to at least three decimal The two critical values at the 0. 1 level of signicance: (Round to at least three decimal Can we support the researchers' claim that the mean recovery time when treated with multivitamin is not equal to the mean recovery time when treated with placebo? \\ '1 Clear l Undo m For major league baseball teams, do higher player payrolls mean more gate money? Here are data for each of the National League teams in the year 2000. The variable x denotes the player payroll (in millions of dollars) for the year 2000, and the variable y denotes the mean attendance (in thousands of fans) for the 81 home games that year. The data are plotted in the Figure 1 scatter plot, as is the least- squares regression line. The equation for this line is 37' = 10.52 +0.31 x . Player payroll, x Mean attendance, y (in $1 ,000,0005) (in thousands) An-zona mrr- Atlanta 39.68 Chicago Cubs 34.44 Cincinnati \" 31.35 comrade 4cm Ho... 15.06 \" am M "m i a "m ' Send data to Excel Answer the following: 1. Fill in the blank: For these data, player payroll values that are greater than the mean of the player payroll values tend to be paired with mean attendance values that are the mean of the mean attendance values. 2. Fill in the blank: According to the regression equation, for an increase of one million dollars in player payroll, there is a corresponding of 0.31 thousand fans in mean attendance . 3. What was the observed mean attendance (in thousands of fans) when the player payroll was 94.5 million dollars? 4. From the regression equation, what is the predicted mean attendance (in thousands of fans) when the player payroll is 94 .5 million dollars? (Round your answer to at least two decimal places.) 1. Fill in the blank: For these data, player payroll values that are greater than the mean of l the player payroll values tend to be paired with mean attendance values that are th I Choose one mean of the mean attendance values. greater than less than 2. Fill in the blank: According to the regression equation, for an increase of one million dollars in player payroll. there is a corresponding of 0.31 thousand fans in mean I Choose one attendance. increase decrease