Suppose you compute a one-sample t test to investigate a directional hypothesis at an alpha level of 5%. You find a critical t-value of 1.943. What was your sample size? 5 8 7 6
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A: Solution
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- You obtain a t comp of .975 in a two sample independent t test with alpha at .05. Is it significant?The median pH level of the rain in a certain county, was 4.90. A biologist obtains a random sample of 19 rain dates and obtains the following data. Test the hypothesis that the median pH level has decreased from 4.90 at the alpha= 0.05 level of significance.A z-score of –1.6 has a corresponding Stanine score of:
- What is the critical t value for a one sided test for alpha = .10? Imagine you are using a one-sample t test and your sample size is 15. A) 1.350 B) 1.345 C) 1.341 D) 1.337The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?A random sample of 22 women participated in a study testing whether a new banana boat sunscreen reduced their incident rate of sunburn during the summer. The average woman in the study reported getting burned 5.7 times over the past 3 months, with a SS = 179. Compare this incident rate to a rate of 7 times per 3 months. Use an alpha of .05, 2 tailed test. a) What is the t-critical value(s)? b) What is the estimated standard error? c) Compute the t-statistic. d) Make a decision regarding the null and provide a conclusion (explain what it means in regards to this particular study).
- "With alpha equal to .05, a two-tailed independent-samples t test showed similar number of days to lose 5 pounds between the Atkins diet (M=45.8, SD=5.2) and the South Beach diet (M=42.4, SD=5.1), t (62)=1.3, p=.63.” From this report, 1) was the null hypothesis rejected in this study? Please answer or circle Yes/No 2) calculate the effect size of η2 in this study (show steps).Dr. Romanoff reported the following in a journal: “F (5, 106) = 10.09, p = .04.” Should Dr. Romanoff state that there are significant differences among the variable means at a .05 alpha level?The average effect size in social psychology is around d = 0.21. Conventionally, a sample over 30individuals is considered 'large.' If we are running an experiment for which we will perform atwo-tailed test t-test and we have 30 individuals in each of the two conditions, what is ourpredicted power? (use the standard alpha)
- In a test of H0: µ=150 against HA: µ<150, a sample of size 250 produces Z = -0.65 for the value of the test statistic. Thus the p-value is approximately equal toIf the df value for a two tailed test with alpha =0.05 were to increase from df=5 to df=22,what would happen to the critical values for t?A researcher obtained a result of t(9)=1.22, p>.05 for their study using a one sample t-test. Are the results significant using an alpha level of .05 and how many participants were in the group?