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A pH level of the soil between 5.3 and 6.5 is optimal for strawberries. To measure the pH level, a field is divided into two lots. In each lot, we randomly select 20 samples of soil. The data are below: pH (lot 1) pH (lot 2) 5.66 5.25 5.73 6.73 5.68 6.25 5.77 5.21 5.73 5.63 5.71 6.41 5.68 5.89 5.58 6.76 6.11 5.13 5.37 5.64 5.67 5.94 5.53 6.16 5.59 5.64 5.94 6.54 5.84 5.79 5.53 5.91 5.64 6.17 5.73 6.90 5.30 5.76 5.65 6.07 (a) Using a statistical software, verify the assumption that the two populations are normally distributed. (b) Using a statistical software, assess the assumption that the two populations have equal variances. (c) Test the hypothesis H0 : mu1 = mu2 versus H1 : mu1 neq mu2, where mu1 is the mean pH level of the soil in lot 1, and mu2 is the mean pH level of the soil in lot 2. State your conclusion. Use the level alpha = 0.05
A major problem resulting from the lack of randomization in a cohort study is: the possibility that a factor that led to the exposure, rather than the exposure itself, might have caused the disease.
The letters were rotated away from 0 degrees. Interestingly, reaction time decreased after 180 degrees. Can you explain why this might occur?
Drug is effective on 89% of women and 65% of men. It is known that 66% of the people who take the drug are women. What is the probability that the drug is effective?
We know that the population variance is 16. Estimate the mean number of admissions per 24-hour period with a 95% confidence interval.
What is the probability that all 5 are basketball players? If the players are to be arranged in a line, how many arrangements are there if the basketball players are together?
What is the probability of finding a sheet chosen at random which contains 3 or more surface flaws and find the greatest standard deviation,
In past elections, the representative received 40 percent of the popular vote in that area of the state. She doubts whether it has changed much. How many registered voters should be sampled?
Pick a random sample of 50 homes from the enclosed 90 cases. Double the asking price and selling price and use this data to develop three predictive models:
47% of students have children under 17 living at home with them. Find the probability that a random sample of 800 students will return more than 50% students with children under 17 living at home with them.
We want to estimate the population mean within 5, with a 99% confidence level. The population std dev is estimated to be 15. How large is the required sample size?
An analyst wishes to include number of older siblings in family as a predictor variable in a regression analysis of factors affecting maturation in eighth graders.
A new company is manufacturing light bulbs. The CEO claims that the average light bulb lasts 260 days. A researcher selects 25 bulbs for testing. The sample bulbs last an average of 250 days with a standard deviation of 20 days.
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