Question

In: Statistics and Probability

1 The Earth is structured in layers: crust, mantle, and core. A recent study was conducted...

1 The Earth is structured in layers: crust, mantle, and core. A recent study was conducted to estimate the mean depth of the upper mantle in a specific farming region in California. Twenty-six, n = 26 sample sites were selected at random from a normally distributed population of approximately N = 1598 sites, and the depth of the upper mantle was measured using changes in seismic velocity and density. The sample mean was 127.5 km and the sample standard deviation was 21.3 km. Suppose the depth of the upper mantle is normally distributed. Find a 90% confidence interval for the true mean depth of the upper mantle in this farming region.

  1. Determine the prerequisites have been met (3 pts):

  • Random sample:
  • n ≤ 0.05 of N:
  • the population is normally distributed or n ≤ 30:

  1. Construct the confidence interval (4 pts):
  1. Interpret the confidence interval, in a statement (1 pt):

Solutions

Expert Solution

TOPIC:Confidence interval for the population mean.


Related Solutions

1b The Earth is structured in layers: crust, mantle, and core. A recent study was conducted...
1b The Earth is structured in layers: crust, mantle, and core. A recent study was conducted to estimate the mean depth of the upper mantle in a specific farming region in California. Twenty-six, n = 26 sample sites were selected at random from a normally distributed population of approximately N = 1598 sites, and the depth of the upper mantle was measured using changes in seismic velocity and density. The sample mean was 127.5 km and the sample standard deviation...
A recent 10-year study conducted by a research team at the Medical School was conducted to...
A recent 10-year study conducted by a research team at the Medical School was conducted to assess how age, blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker. Risk...
A recent 10-year study conducted by a research team at the Medical School was conducted to...
A recent 10-year study conducted by a research team at the Medical School was conducted to assess how age, blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker. Risk...
A recent study conducted by a health statistics center found that 24​% of households in a...
A recent study conducted by a health statistics center found that 24​% of households in a certain country had no landline service. This raises concerns about the accuracy of certain​ surveys, as they depend on​ random-digit dialing to households via landlines. Pick three households from this country at random. Complete parts​ a) through​ c) below. What is the probability that all three, of them have a​ landline? What is the probability that at least one of them does not have...
A recent study was conducted to determine whether there was a relationship between work (X) and...
A recent study was conducted to determine whether there was a relationship between work (X) and education (Y) where 200 people were asked two questions: 1) Are you educated? 2) Are you engaged in what?) The answer should be yes or no. Required: Calculate the coefficient of association with interpretation of the results. education no education work 113 23 no work 49 15
A study conducted by a research group in a recent year reported that 58% of cell...
A study conducted by a research group in a recent year reported that 58% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 16 cell phone owners is studied. Round the answers to at least four decimal places. A) What is the probability that seven or more of them used their phones for guidance on purchasing decisions? The probability that seven or more of them used their phones for guidance on...
A recent study conducted by a health statistics center found that 27​% of households in a...
A recent study conducted by a health statistics center found that 27​% of households in a certain country had no landline service. This raises concerns about the accuracy of certain​ surveys, as they depend on​ random-digit dialing to households via landlines. Pick five households from this country at random. a) What is the probability that all five of them have a​ landline? b) What is the probability that at least one of them does not have a​ landline? c) What...
Two studies are conducted in York County. a) A recent study stated that the average age...
Two studies are conducted in York County. a) A recent study stated that the average age of robbery victims was 63.5 years. A sample of 21 recent victims has a mean of 63.7 years and a standard deviation of 1.9 years. At the .05 level of significance, is the average age higher than originally believed? Use the 5 steps and complete a hypothesis test using the p-value method or critical value method. b) A researcher wants to estimate the average...
A recent 10-year study conducted by a research team at the Great Falls Medical School was...
A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted to assess how age, systolic blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating...
A recent study conducted by the state government attempts to determine whether the voting public supports...
A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes to help the public schools. The opinion poll recently sampled 1500 voting age citizens. 622 of the sampled citizens were in favor of an increase in taxes. The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than 66%. At...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT