How would a person set up the hypotheses if they wanted to test the claim: the mean temperature of a October day in Oahu is different from 81 degrees? A: Ho H = 81° vs HA H > 81° B: Ho H = 81° vs HA H< 81° C: Ho H = 81° vs H u 81° D: Ho µ < 81° vs HA H > 81° A
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- Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?The WISC-IV is a standardised instrument for measuring IQ in children. The population M = 100 and SD = 15. If a child scores 85 on the WISCIV then what % of children in the %3D population have a higher IQ? а. 60% ОБ. 90% О с. 84% O d. 75%A population of Emotional Quotient scores with μ = 38 and σ = 6 is standardized to create a new population with μ = 50 and σ = 10. Find the new score for a given original score or the old score for a given new score. original score new score X = 26 ? ? X = 65
- Read the problem below and answer the following questions. 1) What statistical test should be used to solve this problem? 2) State the null and alternative hypotheses for the test. Bicep strength (kg/cm2) was measured in 2 groups of 12 males each (age=18-25). One group received a hormone injection (H) and the other did not (NH). Is mean bicep strength greater in the group receiving the hormone injection? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A V ...Please use the five steps in hypothesis testing. (a) Meteorology: Storms Weatherwise is a magazine published by the American Meteorological Society. One issuegives a rating system used to classify Northeaster storms that frequently hit New England and can cause muchdamage near the ocean. A severe storm has an average peak wave height of μ=16.4 ft for waves hitting the shore. Suppose that a Northeaster is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 36 waves showed on average wave height of x̄=17.3 ft. Previous studies of severe storms indicate that σ=3.5 ft. . Does this information suggest that the storm is perhaps temporarily increasing above the severe rating? Use a=0.01Some people believes that the mean income of Pharmacists is now more than $65 thousand per year. Which is the correct set of hypotheses to test this belief? а. H, :µ = 65000 H.: µ +65000 VS O b. Ho: H = 65000 H.: u> 65000 %3D VS O c. None d. H. :µ = 65000 Но : и < 65000 VS
- Only about 17 of all people can wiggle their ears. Is this percent lower for millionaires? Of the 319 millionaires surveyed, 45 could wiggle their ears. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: py (please enter a decimal) %3D H: p # (Please enter a decimal) c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is s a f. Based on this, we should fail to reject g. Thus, the final conclusion is that... the null hypothesis. OThe data suggest the populaton proportion is significantly lower than 17% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 17%. O The data suggest the population proportion is not significantly lower than 17% at a = 0.01, so there is…Express the null and alternative hypotheses in symbolic form for this claim: the mean weight of male nurses working at a local hospital is less than 187 lbs. Note that the mean weight in the sample taken is 197 lbs. H1:HA researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alertness. A sample of n = 9 college students is obtained and each student’s performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by M = 14 points after the meal with SS = 1152 for the difference scores. A. Is there is significant difference in performance before eating versus after eating? Use a two-tailed test with α = .05. SMD = ___________________________ tcritical = ________________________ tcalculated = ________________________ Decision = _______________________ B. Compute r2 to measure the size of the effect. r2 = _____________________________ C. Write a sentence demonstrating how the outcome of the test and the measure of effect size would…
- 8. a) The mean of 6 different plots of acidic soil samples is 3.2. An extra plot with pH value 3.9 is included in the sample. What is the new mean? b) Five soil samples have a mean of 12 dS/m for soil electrical conductivity (EC). When a soil sample was removed, the mean is 11 dS/m. What is the value of the soil EC been removed? 9. Loss of calcium is a serious problem for older women. At the beginning of a study on the influence of exercise on the rate of loss, the amounts of bone mineral content in the radius bone of the dominant hand of 11 elderly women were: 0.88, 1.06, 0.90, 1.06, 0.79, 0.80, 0.85, 0.91, 0.94, 1.00, 0.72 Calculate: (a) The mean. (b) The median. (c) The mode. (d) A researcher says: "The mode seems to be the best average to represent the data in this survey." Give ONE reason to support this statement.A random sample of n1 = 20 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 11. For Englewood (a suburb of Denver), a random sample of n2 = 18 winter days gave a sample mean pollution index of x2 = 36. Previous studies show that ?2 = 15. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. a) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)b) Find (or estimate) the P-value. (Round your answer to four decimal places.)Please solve question 2, thanks!
