Total 20 14-20-7 40 10 20 40 16-20-8103-5 40 A. Using the values shown, find the expected (E) values for each cell, and put them in Table1. Here are the values that were actually observed: REM Sleep Quality Recall Normal Deprived Total High 10 4 14 Moderate 9 7 16 Low Total 1 20 9 10 20 40 B. With these observed values, calculate Chi-square. E= also boon poy,oz ob oT svoris old ads si C. Find the degrees of freedom and determine if your chi-square is significant D. State your conclusions about whether there is a link between recall and slee 2. The following requires using a t-test. A researcher is interested in determinin Rutgers students tend to have higher IQs than the population average of μ= 1 standard deviation, so use the t-test). To address this question, the researcher sample of n = 25 students and administers an IQ test to them. The average fo 105 and the sample standard deviation turns out to be s = 10

Find the expected count and the contribution to the chi-square statistic for the (B,E) cell in the two-way table below.   D E F G Total A 35 34 37 41 147 B 75 93 66 59 293 C 19 37 25 31 112 Total 129 164 128 131 552 Round your answer for the expected count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.Expected count = Enter your answer; Expected countcontribution to the chi-square statistic = Enter your answer; contribution to the chi-square statistic

Nitrites are often added to meat products as preservatives. In a study of the effect of these chemicals on bacteria, the rate of uptake of a radio-labeled amino acid was measured for a number of cultures of bacteria, some growing in a medium to which nitrites had been added. Here are the summary statistics from this study. Group  n x^- s Nitrite  30 7880 1115 Control 30 8112 1250 Carry out a test of the research hypothesis that nitrites decrease amino acid uptake at the 2% significance level.   (Null and Alternate Hypothesis and Rejection Region) [Group 1: Nitrite; Group 2: Control] A. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: z < -2.05 B. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: t < -2.15 C. Ho: µ1 = µ2; Ha: µ1 > µ2; Rejection Region: t > 2.15 D. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: z < -2.33 or z > 2.33 E. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: t < -2.46 or t > 2.46   (Test Statistic) A. t = -26.130 B. z = -0.759 C. t =…

A food company has developed a high mineral sea salt (sodium).  A nurse practitioner hypothesizes that getting more sodium from the new sea salt predicts an increase in blood pressure.  Below are the sodium and BP measurements for a sample of participants that regularly use the new sea salt. What can the nurse practitioner conclude with an α of 0.01?   Sodium BP 8.38.38.28.48.28.28.38.48.3 167196190157149141145190175   a) What is the appropriate statistic?Compute the statistic selected in a): b) Obtain/compute the appropriate values to make a decision about H0.(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)Critical value =  ;  Test statistic = c) Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below.Effect size =

A random sample of 100 items is selected from a population of size 350. What is the probability that the sample mean will exceed 200 if the population mean is 195 and the population standard deviation equals 20? Use the finite population correction factor and show work. answers: a-.0016 b. .1587 c. 9984 d. .8413

A manufacturing process produces auto tires.  A sample of miles at replacement is recorded below. At what milage should the warranty be set at for warranty replacement of 0.5% of the tires? Mileage at Replacement 47391 49450 52700 42709 46753 42082 53801 43975 51014 47729 49942 45216 60679 46353 52155 51420 45398 57044 51170 52729 54830 53273 48308 50209 53397 47329 54888 52780 52883 45158 48575 46073 45900 49406 47717 53113 44880 49642 47241 54091 50185 47824 54659 49625 52670 56983 44403 52557 55324 52183

in a particular ecosystem, we expect the ratio of juvenile, mature and senescent mayflies to be 1:2:1, respectively. A sample of 368 mayflies were observed and their life cycle stage were recorded in the table below.                Juvenile   Mature   SenescentObserved    84         176          108a)Calculate the expected number of juvenile mayflies. Give your answer as a whole number. b)Calculate the expected number of mature mayflies. Give your answer as a whole number.   c)Calculate the expected number of senescent mayflies. Give your answer as a whole number. d)Calculate the chi square goodness of fit (?2 ) test statistic for this dataset. Give your answer to 2 decimal places. e)State the critical value for this test. (See table on 'On-line' exam tab.) State your answer to 2 decimal places. f)In this test the null hypothesis is that there is NOT a difference between observed and expected frequencies. Which of these should you do?Reject the null (i.e. there is a significant…

Conduct the test at the 0.01level of significance.

The graduation rate from high school in a certain county is 76%. A school in that county wants to know if its graduation rate is significantly lower than the county rate. They take a random sample of 300 of the seniors who graduated last year, and find that 223 out of those 300 graduated.  Calculate the p-value for this test.

ves Holl its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter > .01386 (as suggested in the article "Competition and Dispersal from Multiple Nests," Ecology, 1997: 873-883). = b. a. What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? What is the probability that distance exceeds the mean distance by more than 2 standard deviations? What is the value of the median distance? C. all