Question

In: Statistics and Probability

data=(1,7,3,4,5,6,2,8,9,10,11,12,13,14,15,16,17,18,19,20) Suppose your dataset is a sample collected from some population with variance = 10. Use...

data=(1,7,3,4,5,6,2,8,9,10,11,12,13,14,15,16,17,18,19,20)

Suppose your dataset is a sample collected from some population with variance = 10. Use R to solve the problems

(b) (2pts) Determine a (96)% confidence interval for the population mean.

(d) (3pts) Conduct a (92)% confidence level hypothesis test to test if the population mean is larger than 5 using Pvalue.

(g) (2pts) Determine the probability of Type II Error for the test in (d) if the population mean is actually 10.

Solutions

Expert Solution


Related Solutions

I collect a random sample of size n from a population and from the data collected,...
I collect a random sample of size n from a population and from the data collected, I compute a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data? Circle your answer(s) Use a smaller confidence level. Use a larger confidence level. Use the same confidence level but compute the interval n times. Suppose you know the length of...
i collect a random sample of size n from a population anf from the data collected...
i collect a random sample of size n from a population anf from the data collected compute a 95% confidence interval for the mean oc the population. Which of the following would produce a new confidence interval with smaller width (narrower interval) based on these same data? A) Use a larger condice level B) Use a smaller confidence level C) Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger D)...
You collected a sample of soil from your backyard to use for as a source of...
You collected a sample of soil from your backyard to use for as a source of inoculum for your isolate project, and want to use plating technique to determine the number of microbes present. Based on what you know about microbial cell counts in soil environments, you estimate that there might be up to 1010 cells per g of soil, but that in many soil samples only a small fraction (0.1-1%) of cells are typically able to be cultured on...
Suppose the researcher has collected data from a sample of 150 individuals for this study. For...
Suppose the researcher has collected data from a sample of 150 individuals for this study. For each individual, the weekly take-home pay and weekly food expenditure were recorded. The data is stored in the file FOODEXP.XLS. Using this data set and EXCEL, answer the questions below. Take-home pay   Weekly food expenditure 262   82 369   182 374   144 381   161 378   210 395   126 401   196 410   212 408   130 415   151 418   145 415   171 425   156 116   114 120  ...
A sample of size n = 10 n=10 is drawn from a population. The data is...
A sample of size n = 10 n=10 is drawn from a population. The data is shown below. 98.8 110.5 117.2 100.2 135.2 135.2 135.2 115.8 125.8 106.6 What is the range of this data set? range = What is the standard deviation of this data set? (Remember, it is a sample.) Please report the answer with appropriate rounding, reporting 2 more decimal places than the original data. Please, please, please do not calculate the value by hand. stdev =
A random sample n=30 is obtained from a population with unknown variance. The sample variance s2...
A random sample n=30 is obtained from a population with unknown variance. The sample variance s2 = 100 and the sample mean is computed to be 75. Test the hypothesis at α = 0.05 that the population mean equals 80 against the alternative that it is less than 80. The null hypothesis Ho: µ = 80 versus the alternative H1: Ho: µ < 80. Calculate the test statistic from your sample mean. Then calculate the p-value for this test using...
(a) Use the Sample Variance Definition to find the variance and standard deviation of the data.
Perform each task, given the following sample data. (Round your answers to one decimal place.) 4 8 7 4 10 9 (a) Use the Sample Variance Definition to find the variance and standard deviation of the data. variance     standard deviation     (b) Use the Alternative Formula for Sample Variance to find the variance and standard deviation of the data. variance     standard deviation    
1. Which of these are random variables: Population mean, sample mean, population variance, sample variance, population...
1. Which of these are random variables: Population mean, sample mean, population variance, sample variance, population standard deviation, sample standard deviation, population range, sample range 2. Does variance matter? I have two routes to my work. Travel time on the first route takes me on average 20 minutes, and the second route 19 minutes. The standard deviation of travel time on the first route is 1.5 minutes, on the second is 5 minutes. Which route should I take?
Let's say you have collected data from a large sample of participants on some variable that...
Let's say you have collected data from a large sample of participants on some variable that you think is normally distributed. In this case use IQ scores. Describe the variable and state whether the scale of measurement is nominal, ordinal, interval, or ratio, and why you came to that conclusion. What does it mean to say the variable is normally distributed? What is probability value and explain how a probability value of .05 in your example is related to the...
A sample of 16 items from population 1 has a sample variance 6.1 and a sample...
A sample of 16 items from population 1 has a sample variance 6.1 and a sample of 20 items from population 2 has a sample variance 2.5 . Test the following hypotheses at the .05 level of significance Upper tailed test a) What is your conclusion using the  -value approach? Calculate the value of the test statistic (to 2 decimals). b)The p-value is______. What is your conclusion?_____ c) repeat the test using the critical value approach. What is the rejection rule...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT