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1. After analyzing repeat purchase sales data from two market segments, the researcher reported that the p-value was 0.15. This implies that there are more than 15 chances out of 100 that the difference found was simply due to a sampling accident. F 2. The hypothesis test serves to quantify the reliability of research results, indicating the extent to which the data support the empirical findings. T 3. We can be more confident in rejecting the null hypothesis with a p-value of 0.05 than with a p-value of 0.02. F 4. A high p-value means that the probability of a statistically significant difference is high. F 5. If the sample size increases, the p-value will usually become smaller. T 6. The confidence with which we may reject/accept a hypothesis is independent of the sample size, but dependent on the true population variance. Type II error occurs when the null hypothesis is not rejected when it is false. F 7. 8. An index that is calculated from sample data and whose value determines whether to a accept or reject a null hypothesis is a a) test statistic b) critical value c) significance level d) decision rule 9. If the researcher, in making a statistical test, rejects a true hypothesis, the error is called a) Type I error b) Type II error c) Type III error d) no error is made e) none of the above New Products Incorporated ran a test market for their latest product in two markets, City A and City B. Both have equal populations. The average weekly sales were $1,000 and $800, respectively, in the two cities. Based on this information, we can say that 1. sales in City A are significantly higher than sales in City B. 2. the difference in the sales level could be due to a sampling error. 3. the difference in the sales level may be due to the fact that the residents of City B accepted the product to a lesser degree than those of City A. a. 1 b. 2 c. 3 d. 1and 3 e. 2 and 3 10. . T a e 11. If x = 10, n = 16 σ 2x 16, n 16 The p-value for a sample observation of X = 11, based on the null hypothesis that the sample was drawn from the above population, would be closest to a. .3 b. .45 c. .005 d. .05 e. .68 12. The manager of the marketing division of Acme Corporation forecasts an average monthly sales in 1978 of $65,000. In the first seven months of 1978, the average monthly sales were $63,200, with a standard deviation of $500. The management wishes to test the hypothesis Ho that "statistically" the manager was right (Ho: = 65,000) against the alternative hypothesis that he was wrong in his forecast (Ho: = 65,000), using a two-tail test. Assuming normal distribution of monthly sales, which of the following statements is true? a. Ho is rejected at the 5 percent significance level but accepted at the 1 percent significance level. b. Ho is accepted at both the 5 percent and 1 percent significance levels. c. Ho is accepted at the 5 percent significance level but rejected at the 1 percent significance level. d. Ho is rejected at both the 5 percent and 1 percent significance levels. e. None of the above. d 13. The Berkeley Supermarket buys its supplies of potatoes from two different farms, A and B. In a recent sampling test, it was found that the sample taken from Farm A had a mean weight of 10 ounces per potato, whereas the sample from Farm B had a mean weight of 10.3 ounces. In view of this test, is there a statistically discernible difference (at the 95 percent confidence level) between the mean weights of the potatoes of the two farms? a. Yes. b. No, because the difference of 0.3 ounces is very small compared to the mean (approximately 3 percent). c. The standard deviations of both samples must be known (the sample sizes are irrelevant) before the above question can be answered. d. Both the standard deviations and sample sizes must be known before the above question can be answered. e. Even if both the standard deviations and sample sizes were known, the above question cannot be answered. The p-value can be defined as the largest significance level at which we would accept the null hypothesis. d 15. In a hypothesis test when alpha is prespecified, the researcher is trying to determine "Is the probability of what has been observed lesser than alpha?" and then decide accordingly. T 16. The greater the p-value, the higher is the researcher's confidence in the research findings. F 17. The p-value is independent of the sample size. F 14. T 18. Regression is an analysis of dependence technique since it involves a dependent variable as the focus of analysis. T 19. The sole purpose of regression analysis is to predict the level of a dependent variable, given proposed levels of the independent variables. F 20. In regression analysis, the dependent variable is sometimes called the predictor variable. F 21. The model: Y = + X2 + e hypothesizes a curvilinear relationship between X and Y. T 22. A regression model can accurately predict the level of a dependent variable in a changing market environment. F 23. A regression analysis has shown that there is a definite, positive relationship between sales (dependent variable) and advertising and sales promotion (all units in dollars). The estimated relationship is sales = (3) advertising + (1) sales promotion + 1,500. Based on the given information a. all marketing resources should be allocated to advertising, if possible. b. all marketing resources should be allocated to sales promotion, if possible. c. the allocation between advertising and sales promotion should be split in the ratio 3 to 1 in all circumstances. d. since both variables exhibit a positive relationship to sales, resources should be allocated equally between sales promotion and advertising in all circumstances. e. none of the above. a