ignore the writting on the paper Data were collected on voltage variation (measu
ID: 3243484 • Letter: I
Question
ignore the writting on the paper
Data were collected on voltage variation (measurements in mV) in a given type of circuit and a statistical test about the population mean variation (mu) was performed. The hypotheses are H_0: mu = 0 versus the alternative H_a: mu notequalto 0. As a conclusion of the test, we reject the null hypothesis at significance level alpha = 0.01 with a p value of 0.0001. The estimated value of the voltage variation mu from the data is 10^-3 mV. The mean voltage variation acceptable by industry standards for producing a circuit of this type is plusminus 10^-1 mV. Which of the following represents a reasonable interpretation of our results? a. A pvalue of 0.0001 is very small and therefore the result must have enormous practical importance. b. Our result is statistically not significant. c. Although our result is statistically significant, it is practically not important since the point estimate is two orders of magnitude smaller than the acceptable industry standard. d. It is hard to say anything without knowing whether the null hypothesis is true. e. The practical importance in a statistical hypothesis testing problem is irrelevant. For a level alpha = 0.10 t-test for the population mean mu, the null hypothesis is H_0: mu = 0. For a sample of size 16, the sample mean and the sample standard deviation are x = 0.2. and s = 4 respectively. What is the observed value of the t statistic? a. 0.1 b. 0.2 c. equal to t_0.1, 15 d. equal to t_0.1, 9 e. equal to t_0.05, 15 The hypotheses in a z-test for the population mean are H_o: mu lessthanorequalto 1, H_a: mu > 1. For a sample of size 100, the sample mean and the sample standard deviation are x = 2, and s = 10 respectively. Assume alpha = 0.05. Which of the following is the pvalue? a. P(Z greaterthanorequalto l) b. P(Z greaterthanorequalto (1 - 0.2)) c. P(Z greaterthanorequalto z_0.05) d. P(Z lessthanorequalto -z_0.05) e. 1 - P(Z lessthanorequalto 2)Explanation / Answer
Solution:
Question 1.
Option C: is correct because P value of 0.0001 is smaller than 0.01 level, so we reject the null hypothesis and conclude that result is statistically significant but it is not much practical important since our point estimate is two orders of magnitude smaller than the acceptable industry standard.
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