Compute the observed significance of each test. a. Testing Hoμ = 54.7 vs H₁ b. Testing Hoμ = 195 vs H₁ c. Testing Hoμ = −45 vs H₁ μ< 54.7, test statistic z = -1.72 μ‡ 195, test statistic z = -2.07 μ> -45, test statistic z = 2.54
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- Prior to assessment of the outcome, the researchers did a manipulation check. Members of Groups 1 and 2 rated the attractiveness (on a 1 to 9 scale, with 9 being the most attractive) of the person in the photo. They reported that for the attractive photo, M = 7.53; for the unattractive photo, M = 3.20, F (1, 108) = 184.29. Was this difference statistically significant (using = .05 )? The p value F(1,108) = 184.29 is less than 0.0001. Therefore, the difference is statistically significant because the p value is much less than .05 What was the effect size for the difference in (2a)?Prior to assessment of the outcome, the researchers did a manipulation check. Members of Groups 1 and 2 rated the attractiveness (on a 1 to 9 scale, with 9 being the most attractive) of the person in the photo. They reported that for the attractive photo, M = 7.53; for the unattractive photo, M = 3.20, F(1, 108) = 184.29. Was this difference statistically significant (using a =.05)? What was the effect size for the difference in (2a)? Was their attempt to manipulate perceived attractiveness successful? Why does the F ratio in (2a) have just df=1 in the numerator?31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?
- Given a critical t score of -2.33 and t observed being -2.01, the decision you should make is reject Ho retain Ho conduct another test using a larger sample size retain HaA sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05Below are the results for the three periods between the USA Stock and the USA Treasuary Bills. The complete sample, January 1950 to December 2017. Correlation = -0.159596558 The subsample, January 1950 to December 1969. Correlation = -0.262086255 The subsample, January 1970 to December 2017. Correlation = -0.142338644 required, interprete the meaning of the results and if the null hypothesis was that the colerration is 0 would that be true?
- Listed below are the lead concentrations in muμg/g measured in different traditional medicines. Use a 0.010.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 1717 muμg/g. Assume that the lead concentrations in traditional medicines are normally distributed. 1010 13.513.5 16.516.5 19.519.5 2121 13.513.5 3.53.5 22.522.5 1313 3.53.5 What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g B. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμgreater than>1717 muμg/g C. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμnot equals≠1717 muμg/g D. Upper H 0H0: muμgreater than>1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to…Consider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations: population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ] population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09] population3 = [ 17.12, 16.42, 16.43, 17.33] What is the standard error of the difference between the means of population 2 and population 3, needed to calculate the Tukey-Kramer q-statistic? What is the Tukey-Kramer q-statistic for populations 2 and 3? (Report the absolute value, if you get a negative number, multiply by -1)5.39 ● The following data on degree of exposure to 242Cmalpha particles (x) and the percentage of exposed cellswithout aberrations (y) appeared in the paper “Chromosome Aberrations Induced in Human Lymphocytes by D-TNeutrons” (Radiation Research [1984]: 561–573):
- Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?The 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?Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given n = 11 at a significance level of 0.05. ±± 0.575 ±± 0.514 ±± 0.555 ±± 0.602