Question

In: Statistics and Probability

Over a 20-year period, the average sentence given to defendants convicted of aggravated assault in the...

Over a 20-year period, the average sentence given to defendants convicted of aggravated assault in the United States was 25.9 months. Assume this to be your population mean. Because you think it might be different in your home state, you conduct a little study to examine this question. You take a random sample of 175 jurisdictions in your home state and find that the mean sentence for aggravated assault is 27.3 months, with a standard deviation of 6.5. Test the null hypothesis that the mean sentence length in your state is 25.9 months against the alternative hypothesis that it is different from that. Set your alpha level at .01.

Solutions

Expert Solution

given data are:-

sample mean () = 27.3

sample sd (s)= 6.5

sample size(n) = 175

level of significance () = 0.01

here,as the population sd is unknown i am doing 1 sample t test for mean.

hypothesis:-

test statistic be:-

df = (n-1)= (175-1) =174

p value = 0.0049

[ in any blank cell of excel type =T.DIST.2T(2.8493,174) press enter ]

decision:-

p value = 0.0049 < 0.01(alpha)

so, we reject the null hypothesis.

conclusion:-

there is sufficient evidence to support the claim that  the mean sentence length in your state is different 25.9 months at 0.01 level of significance.

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible..


Related Solutions

Hypothetical Human population matrix over a period of time of 20 year intervals. Age 0-20 20-40...
Hypothetical Human population matrix over a period of time of 20 year intervals. Age 0-20 20-40 40-60 60-80    0-20 [ .24 .98 0 0] 20-40 [ .77 0 .92 0] 40-60 [ .04 0 0 .57] 60-80 [ 0 0 0   0] Complete the calculation to determine what the population distribution will be 200 years after the initial probability distribution shown in the example as P= [1000, 1000, 1000, 1000]. The formula is P*T^10 (there are 10 sets of...
The data shown below indicate the average tuition​ (in dollars) over a​ six-year period for private...
The data shown below indicate the average tuition​ (in dollars) over a​ six-year period for private and public colleges in a region. Complete parts a through c below. Use alphaαequals=0.01 where needed Year   Private   Public 1   12,779   2,076 2   14,375   2,349 3   17,224   3,128 4   19,145   3,612 5   23,391   4,644 6   27,572   5,611 A. Conduct a simple linear regression analysis of these data in which the average tuition for private colleges is predicted by the average public college tuition. Test...
In C programming language, After studying gross annual revenues of Broadway shows over a 20-year period,...
In C programming language, After studying gross annual revenues of Broadway shows over a 20-year period, you model the revenue as a function of time:         R(t) = 203.265 X (1.071)^t, where R is in millions of dollars and t is the years since 1984. Create the following functions to implement this model:         revenue - calculates R given the input parameter t. R is an output parameter.         predict - predicts the year in which revenues (in millions) will...
Calculate the average capital acquisitions ratio over the three-year period. How would you interpret these results?
Analyzing the quality of firm earnings)  Kabutell, Inc. had net income of $650,000, cash flow from financing activities of $80,000, depreciation expenses of $60,000, and cash flow from operating activities of $550,000.a.  Calculate the quality of earnings ratio. What does this ratio tell you?b.  Kabutell, Inc. reported the following in its annual reports for2011–2013:($ million)201120122013  Cash Flow from Operations$479$404$470  Capital Expenditures (CAPEX)$458$448$454Calculate the average capital acquisitions ratio over the three-year period. How would you interpret these results?
Camp Manufacturing turns over its inventory five times each year, has an average payment period of...
Camp Manufacturing turns over its inventory five times each year, has an average payment period of 35 days, and has an average collection period of 60 days. the firm has annual sales of $4.2 million and cost of goods sold of $3.5 million. a.Calculate the firm's operating cycle and cash conversion cycle. b.What is the dollar value of inventory held by the firm? c.If the firm could reduce the average age of its inventory from 73 days to 63 days...
4. Suppose that, over a period, the average raw material unit cost was $ 4.85 and...
4. Suppose that, over a period, the average raw material unit cost was $ 4.85 and the average conversion cost was $ 9.15. At the end of the period, there were 600 units in process, with 100% of the raw material and 65% of the conversion costs. How much is the balance of the inventory of goods in process at the end of the period? to. $ 6,479 b. $ 8,400 c. $ 5,460 d. $ 5,850 5. A company...
Which of the following statements is FALSE? Over any given period, the risk of holding a...
Which of the following statements is FALSE? Over any given period, the risk of holding a stock is that the dividends plus the final stock price will be higher or lower than expected, which makes the realized return risky. Because investors are risk averse, they will demand a risk premium to hold unsystematic risk. Because investors can eliminate firm-specific risk "for free" by diversifying their portfolios, they will not require a reward or risk premium for holding it. The risk...
Over the period of 1926-2014 and among the investment classes presented, ______ had the highest average...
Over the period of 1926-2014 and among the investment classes presented, ______ had the highest average return, ______ had the lowest average return, and ______ had the highest risk premium.
Average daily temperatures (°C) in a northern city over a period of 60 days are presented...
Average daily temperatures (°C) in a northern city over a period of 60 days are presented in the partly completed grouped frequency distribution table below. Determine the missing values and complete the table. Class Frequency Relative Frequency Cumulative Frequency Cumulative Relative Frequency -20 to < 0.1 to < 0 0.15 15 0 to < 0.55 to < 20 57 20 to < 0.05 Total 60 - -
Question 2 (20 marks) In a given period the production data and costs for a process...
Question 2 In a given period the production data and costs for a process were: Production: 2100 units fully complete. 700 units partly complete. The degree of completion of the partly complete units was: Material 80% complete Labour 60% complete Overheads 50% complete The costs for the period were: Material P24 800 Labour P16 750 Overheads P36 200 Required: (a) Calculate the total equivalent production units (b) Calculate the cost per complete unit (c) Determine the value of W-I-P
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT