1) At the local fish hatchery we take a random sample of 18 trout from one of the holding pens. The trout in the sample have a mean length of 11.2 inches with a standard deviation of .73 inches. Construct and interpret a 95% confidence interval for the mean length of all trout in this holding pen. Type your interpretation sentence in the written response box. It is known that ticks in York County carry the Lyme disease. In a representative sample of 200 ticks they find that 157 of these ticks carry the disease. Construct and interpret a 98% confidence interval for the proportion of all ticks in York County that carry the disease. Type your interpretation sentence in the written response box.
Added by Jamie D.
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2 inches, a sample standard deviation (s) of 0.73 inches, and a sample size (n) of 18. We want to construct a 95% confidence interval for the population mean (μ). First, we need to find the t-value for a 95% confidence interval with 17 degrees of freedom (n-1). Show more…
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Rashmi S.
At the local fish hatchery we take a random sample of 18 trout from one of the holding pens. The trout in the sample have a mean length of 11.2 inches with a standard deviation of .73 inches. Construct and interpret a 95% confidence interval for the mean length of all trout in this holding pen.
Sri K.
A bass is a kind of fish that lives mostly in fresh (lake or river) water. Adult bass in a nearby lake called Silver Lake have an average length of 12.3 inches with a standard deviation of 3 inches. Recently, fishermen in Silver Lake told a reporter that this year they have been catching adult bass that are smaller than usual. A research group interested in the fish decided to take a random sample of 100 adult bass from Silver Lake. The researchers measured each bass in the sample and found that the mean of the sample was 11.2 inches. How many standard errors is the sample mean of 11.2 inches below the population mean and does is this unusual? The sample mean of 11.2 inches is 0.37 standard errors below the population mean. This is not unusual, so the smaller mean length of the fish is probably due to chance variation.
Joanna Q.
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