A merchant's sale (*00s tons) of ordinary coal over a period were as shown below: Quarters Years I II III IV 2011 118 87 47 83 2012 94 73 41 68 2013 73 61 36 56 Using method of Least Square Method determine the linear trend line for the data below. Plot the actual values and the linear trend on the same graph
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- A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask,data is provided below: a. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance.b. If a drug decreases the doubling time of yeast cells, what could be the purpose of using this drug?Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, and another random sample of 16 gears from the second supplier results in x2 = 310 and s2 = 22. Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 10 foot-pounds higher than that of supplier 1, find the tcalc value? Please report your answer upto 3 decimal places.(c) Predict the final grade for a student who misses five class periods and compute the residual. Is the observed final grade above or below average for this number of absences?
- An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.the american association of individual investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for thenext six months. for the week ending november 7, 2012, the survey results showed 38.5%bullish, 21.6% neutral, and 39.9% bearish (aaii website, november 12, 2012). assumethese results are based on a sample of 300 aaii members.a. over the long term, the proportion of bullish aaii members is .39. conduct a hypothesis test at the 5% level of significance to see if the current sample results show thatbullish sentiment differs from its long term average of .39. what are your findings?the american association of individual investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for thenext six months. for the week ending november 7, 2012, the survey results showed 38.5%bullish, 21.6% neutral, and 39.9% bearish (aaii website, november 12, 2012). assumethese results are based on a sample of 300 aaii members.a. over the long term, the proportion of bullish aaii members is .39. conduct a hypothesis test at the 5% level of significance to see if the current sample results show thatbullish sentiment differs from its long term average of .39. what are your findings?b. over the long term, the proportion of bearish aaii members is .30. conduct a hypothesis test at the 1% level of significance to see if the current sample results show thatbearish sentiment is above its long term average of .30. what are your findings?
- the american association of individual investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for thenext six months. for the week ending november 7, 2012, the survey results showed 38.5%bullish, 21.6% neutral, and 39.9% bearish (aaii website, november 12, 2012). assumethese results are based on a sample of 300 aaii members.a. over the long term, the proportion of bullish aaii members is .39. conduct a hypothesis test at the 5% level of significance to see if the current sample results show thatbullish sentiment differs from its long term average of .39. what are your findings?b. over the long term, the proportion of bearish aaii members is .30. conduct a hypothesis test at the 1% level of significance to see if the current sample results show thatbearish sentiment is above its long term average of .30. what are your findings?c. would you feel comfortable extending these results to all investors? why or why…What is the kurtosis for a distribution with a mean of 12.00 and a mode of 12.00?The length of time from the initial exposure to HIV infection to the diagnosis of AIDS is termed as the incubation period. An arbitrary dataset for the incubation period of a random selection of 8 HIV infected patients is presented in the table below: Incubation period (in years) 12.5 10.0 14.0 7.7 11.0 6.8 13.0 10.8 Compute the appropriate measure(s) of central tendency and address its worthiness. Calculate the measure(s) of dispersion and discuss which measure is the most appropriate one and why? What will happen to the sample mean, median, standard deviation if a particular data point 6.8 above has adjusted to 1.5? Discuss whether it will increase, decrease, or remain the same.