In hypothesis testing for a population mean, the term "significant difference" implies a:
A) difference between the sample mean and the hypothesized population mean that leads to the rejection of the null hypothesis.
B) difference between the test statistic and the critical region.
C) difference between the one-sided test and the two-sided test.
D) difference between the sample standard deviation and the population standard deviation.
Answer is option A.
In testing problem for population mean to he tested our null hypothesis is taken as the population mean is equal to sample mean or there is no significant difference between the sample mean and population mean. And the alternative hypothesis is that there is significant difference between the sample mean and population mean. That means if there is significant difference between sample mean and population mean we reject the null hypothesis and accept the alternative hypothesis.
In hypothesis testing for a population mean, the term "significant difference" implies a: A) difference between...
3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis test about a population mean u with the following null and alternative hypotheses: Ho: u-25.8 H1: <25.8 Suppose that the population standard deviation has a known value of a observations, which provides a sample mean of % 30.7. 17.8. You obtain a sample of n =62 Since the sample size large enough, you assume that the sample mean X follows a normal distribution. Let...
In hypothesis testing, what is the difference between the critical value method and the P-value method? A. In the critical value method the calculated value of the test statistic is multiplied by two in order to find the P-value. B. In the P-value method the calculated value of the test statistic determines the cutoff between the rejection region and the non-rejection region, while the critical value is one-half of the P-value. C. In the critical value method the cutoff between...
If the null hypothesis is that the population mean is equal to 150 and a sample mean of 113 gave significant support against the null hypothesis, which of the following sample means would be certain to give support against the null hypothesis. a) 114 b.) 122 c.) 264 d.) 112 _____12) If the p-value is less than the significance level, you would . a.) reject the null hypothesis b.) accept the...
6. Testing a population mean, Methods (Exercise 9.23 eBook Consider the following hypothesis test: Ho: ? 12 Ha: ? > 12 A sample of 25 provided a sample mean T -14 and a sample standard deviation s 4.32. a. Compute the value of the test statistic (to 2 decimals). b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is Select Answer the next three questions using the critical value...
How do you know if a hypothesis test is testing the claim between 2 population proportions or 2 means? How is the test statistic for a claim about 2 population means, independent samples, standard deviations unknown, similar to the test statistic for 1 population mean, standard deviation unknown? If the difference between the 2 population means is not significant, which means the test statistic falls within the "usual" area of the distribution, what is the decision about the null hypothesis?...
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A researcher is testing the hypothesis that consuming a sports drink during exercise improves endurance. A sample of n = 36 male college students is obtained and each student is given a series of three endurance tasks and asked to consume 4 ounces of the drink during each break between tasks. The overall endurance score for this sample is M = 85. For the general population of male college students, without any sports drink, the scores for this task average...
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1. For the standardized test statistic approach to hypothesis testing, calculate the test statistic for testing the null hypothesis that the population mean is less than or equal to 9.94, given a sample mean of 15.20, a sample size of 49, and a population standard deviation of 3.25. Round to two decimals. 2. The manager of a paint supply store wants to determine if the mean amount of paint contained in 1- gallon cans purchased from a nationally known manufacturer...