Part a
Confidence interval for Population mean is given as below:
Confidence interval = Xbar ± t*S/sqrt(n)
From given data, we have
Xbar = 3.683333333
S = 1.905168409
n = 6
df = n – 1 = 6 – 1 = 5
Confidence level = 95%
Critical t value = 2.5706
(by using t-table)
Confidence interval = Xbar ± t*S/sqrt(n)
Confidence interval = 3.683333333 ± 2.5706*1.905168409/sqrt(6)
Confidence interval = 3.683333333 ± 2.5706*0.777781746
Confidence interval = 3.683333333 ± 1.9994
Lower limit = 3.683333333 - 1.9994 = 1.6840
Lower limit = 1.6840
Upper limit = 3.683333333 + 1.9994 = 5.6827
Upper limit = 5.6827
Part b
The confidence interval for the population standard deviation is given as below:
Sqrt[(n – 1)*S2 / χ2α/2, n– 1 ] < σ < sqrt[(n – 1)*S2 / χ21 -α/2, n– 1 ]
We are given
Confidence level = 95%
Sample size = n = 6
Degrees of freedom = n – 1 = 5
Sample standard deviation = S = 1.9052
χ2α/2, n – 1 = 12.8325
χ21 -α/2, n– 1 = 0.8312
(By using chi square table)
Sqrt[(n – 1)*S2 / χ2α/2, n– 1 ] < σ < sqrt[(n – 1)*S2 / χ21 -α/2, n– 1 ]
Sqrt[(6 – 1)* 1.9052^2/ 12.8325] < σ < Sqrt[(6 – 1)* 1.9052^2/ 0.8312]
Sqrt(1.4143) < σ < Sqrt(21.8343)
1.1892 < σ < 4.6727
Lower limit = 1.1892
Upper limit = 4.6727
Problem 9 Owing to the variability of trade-in allowance, the profit per new car sold by...
and D. (e) Find an 95% confidence interval for μ, the average annual profit per employee for retail sales. (Round your answers to two decimal places.) lower limit _______ thousand dollars upper limit _______ thousand dollars Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annual profits per employee. The following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. Assume o...
Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annual profits per employee. The following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. Assume σ ≈ 3.9 thousand dollars. 3.5 6.9 4.0 9.0 7.5 6.0 8.6 6.3 2.6 2.9 8.1 −1.9 11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 −6.0 1.5 2.9 4.8 −1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1...
Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annual profits per employee. The following data give annual profits per employee (in units of one thousand dollars per employee) for companies in retail sales. Assume σ ≈ 4.1 thousand dollars. 3.7 6.8 3.5 8.7 8.5 5.3 8.8 5.9 2.6 2.9 8.1 −1.9 11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 −6.0 1.5 2.9 4.8 −1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1...
macoroeconomics 1. Society as a whole faces opportunity costs because a. there is not enough money to go around b. politicians are greedy c. resources are scarce d. our needs are unlimited 2. Mary decides to spend 3 hours working overtime rather than watching a video with her friends. She earns $9 an hour. Her opportunity cost of working is: a. the enjoyment she would have received had she watched the video with friends. b. $27 she earns working c....
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JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
JOHNSON & JOHNSON AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS (Dollars and Shares in Millions Except Per Share Amounts) (Note 1)* 2016 71,890 21,789 50.101 20,067 9.143 29 Sales to customers Cost of products sold Gross profit Selling, marketing and administrative expenses Research and development expense In-process research and development Interest income Interest expense, net of portion capitalized (Note 4) Other (income) expense, net Restructuring (Note 22) Eamings before provision for taxes on income Provision for taxes on income (Note 8)...
Given the value line: a.) what is the top line growth for 2015? b.)Bottom-Line? c.) Annual dividen per share? d.) Current ratio in 2014? e.) % bonds of Captial structure f.) p/e ratio g.) beta h.) EBITDA % I.) Long-Debt % change 2015 We were unable to transcribe this image41.65 TO 20.1 (Media 92) ATM 1.12 ** 3.4% YAKE 1965 07 2:22. 87 3. 35.8 COCA-COLA NYSE:KO TIMELINESS 4 Lowered 70115 h: 289 29 SAFETY . 1 New 727190 LEGENDS...