Sample mean score 29.80 30.97 29.31 Sample standard deviation 3.72 5.19 3.79 In addition, = 30.17. Suppose that it is reasonable to regard these three samples as random samples from the three student populations of interest. Is there sufficient evidence to conclude that the mean Hopkins score is not the same for the three student populations? Use a = 0.05. State the appropriate null and alternative hypotheses. (Let 4, Hz. and uz be the true means for the three different groups.) O Ho ! My # Mz # Mg H, : at least two of the three u,'s are the same Ho: My = Hz = Hz H, : all three of the u's are different Ho : at least two of the three u,'s are different O Ho : all three of the u's are different O HoI My = H2 = Mg H: at least two of the three u's are different Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.) F = P-value = State the conclusion in the problem context. We reject Ho. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. O we fail to reject Hg. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. We reject Ho. The data do not provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations. O we fail to reject Ho. The data provide convincing evidence that the mean Hopkins Verbal Learning Test score is not the same for the three student populations.

An archer’s standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.a. What type of test should be used?b. State the null and alternative hypotheses.c. Is this a right-tailed, left-tailed, or two-tailed test?

Step 1 of 3. State the null and alternative hypotheses for the test.   Step 2 of 3. Compute the value of the test statistic. Round your answer to three decimal places   Step 3 of 3. Draw a conclusion and interpret the decision.

3.3 GRE Scores, Part I. Sophia took the Graduate Record Examination (GRE) and scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67. Suppose that both distributions are nearly normal. a) Write down the short-hand for these two normal distributions. Verbal Reasoning: N(µ = Quantitative Reasoning: N(u = b) What are Sophia's z-scores on both the Verbal Reasoning section and the Quantitative Reasoning section? What do these z-scores tell you? Round your z-scores to 2 decimal places. She scored standard deviations above the mean on the Verbal Reasoning section and standard deviations above the mean on the Quantitative Reasoning section. c) Relative to others, which section did she do better on? d) Find her percentile scores for the two exams. Round to the nearest…

A random sample of 40 college students has a mean earnings of $3120 with a standard deviation of $677 over the summer months. Determine whether a normal distribution or a t-distribution should be used or whether neither of these can be used to construct a confidence interval.   Question 2 options:   Cannot use normal distribution or t-distribution.   Use normal distribution.   Use the t-distribution.

The mean annual tuition and fees for a sample of 14 private colleges in California was $ 37,900 with a standard deviation of $7200 . A dotplot shows that is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition   and fees for private institutions   state the null and alternative compute the value of the t statuistic ,. How many degrees of freedom state your conclusion

Identify the IV and the scale of measurement;  Identify the DV and the scale of measurement and for the IV – identify the number of levels; Identify null and alternative hypotheses, are they directional or non-directional?   Assume that the distributions of the populations are approximately normal.

solve question  3 please

Question number 6