Homework Answers
As we are testing here whether the population mean is less than 130, therefore this is a lower tailed test here. For 0.1 level of significance, as we dont have population standard deviation here, we use the t test here to perform the hypothesis test.
For n - 1 = 8 degrees of freedom, we have from t distribution
tables here:
P( t8 < -1.397) = 0.1
Therefore the rejection region here is given as:
Reject H0 if t < -1.397
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The output voltage for a certain electric circuit is specified to be 130. A sample study...
Show instructions Question 7 4 pts The output voltage for a certain electric circuit is specified...
Show instructions Question 7 4 pts The output voltage for a certain electric circuit is specified to be 130. A sample study of 9 independent reading on the voltage reading gave a sample mean 128.6 and a standard deviation of 3-2.1. Teat the hypothesis Ho: - 130 against the alternative hypothesis Ha: P < 130 at use a- 0.10. Assuming population distribution normal, what is the rejection region? Ot< -1.833 Ot< -1.397 O z< -1.28 O z< -2.821 - Previous
1. In lecture 23, we learnt an objective way of testing The goal of this quiz...
1. In lecture 23, we learnt an objective way of testing The goal of this quiz is to derive the testing for the less-than type alternative hypothesis o s. (a) Imitate the proof in Lecture 23 to construct a test at 5% level of significance starting from a general test statistic θ for testing the hypothesis in (1). You can have a similar asymptotic normality assumption. Be careful in getting the Z-cutoff to find the appropriate threshold for e rejection...
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Show instructions Question 7 4 pts The output voltage for a certain electric circuit is specified to be 130. A sample study of 9 independent reading on the voltage reading gave a sample mean 128.6 and a standard deviation of 3-2.1. Teat the hypothesis Ho: - 130 against the alternative hypothesis Ha: P < 130 at use a- 0.10. Assuming population distribution normal, what is the rejection region? Ot< -1.833 Ot< -1.397 O z< -1.28 O z< -2.821 - Previous
1. In lecture 23, we learnt an objective way of testing The goal of this quiz is to derive the testing for the less-than type alternative hypothesis o s. (a) Imitate the proof in Lecture 23 to construct a test at 5% level of significance starting from a general test statistic θ for testing the hypothesis in (1). You can have a similar asymptotic normality assumption. Be careful in getting the Z-cutoff to find the appropriate threshold for e rejection...
A company claims that the mean monthly residential electricity consumption in a certain region is more than 890 kilowatt-hours (kWh). You want to test this claim. You find that a random sample of 64 residential customers has a mean monthly consumption of 910 kWh. Assume the population standard deviation is 121 kWh. At a = 0.05, can you support the claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. O B. Ho u...
9. In their advertisements, the manufacturers of a certain brand of oatmeal would like to claim that eating their oatmeal for breakfast daily will produce a mean decrease in cholesterol of more than 10 points in one month for people with cholesterol levels over 200. In order to determine if this is a valid claim, they hire an independent testing agency, which then selects 25 people with a cholesterol level over 200 to eat their oatmeal for breakfast daily for...
Independent random samples of n = 150 and n = 150 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 68 successes, and sample 2 had 74 successes. You wish to perform a hypothesis test to determine if there is a difference in the sample proportions P, and py: (a) State the null and alternative hypotheses. O Ho: (P1 - P2) = 0 versus Ha: (P1-P2) < 0 O Ho: (2,-) < versus H: (2,-2)...
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pcI/L of radon. The resulting readings were as follows: 105.5 91.4 100.1 91.7 97.0 91.8 97.4 92.9 108.2 100.6 103.8 106.1 in USE SALT (a) Does this data suggest that the population mean reading under these conditions differs from 100? (Use a = 0.05.) State the appropriate null and alternative hypotheses. Ho: 4 = 100 Haul + 100 Ho: 4 = 100...
The sample of six measurements shown below was randomly selected from a normally distributed population. Complete parts a throughc 1,3, 1, 5, 1,2 a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis, 3. Use a 0.10. If a = 0.10, find the rejection region for the test. Choose the correct answer below O A. t 2.015 or t> 2.015 O C. t-2015 O E. t1476 O B. t-1.476 O D. t 1.476...
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