If, in a sample of n=16 selected from a normal population, X=57 and S=20, what is the value of tSTAT if you are testing the null hypothesis H0: μ=50? Question content area bottom
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- You are asked to test the null hypothesis at the .05 level of significance and you end up with z-observed being equal to -1.83. What would be the appropriate decision to make?Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 3. What is the Null Hypothesis? a)On average, weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general. (H0: X-bar = Mu)) b)On average, weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general. (H0: X-bar does not equal Mu) c)On average, weight loss in the keto diet sample differs from weight loss in the population of dieters in general. (H0: X-bar does not equal Mu) d)On average, weight loss in the keto diet sample differs from weight loss in the population of dieters in general. (H0: X-bar = Mu)In a hypothesis test with hypotheses H0 :pless than or greater than 0.58 and H1 >0.58 , a random sample of size 1,165 produced a sample proportion of 0.6160. The test is to be made at the 2.5% significance level. What is the value of the test statistic, z, rounded to three decimal places?
- If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with ? = 7. A random sample of 92 matchboxes shows the average number of matches per box to be 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) Find (or estimate) the P-value. (b) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? (Select below). At the ? = 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box. At the ? = 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box. At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box. At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box.In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
- In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…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?A researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%
- As a result of complaints from customers about delivery times, the manager at a pizza delivery service is ready to undertake a study to determine the average delivery time. Until now, the manager has believed the delivery time was 20 minutes. Question content area bottom Part 1 What are the null and alternative hypotheses? H0: ▼ Upper X overbarX sigmaσ ss betaβ muμ alphaα ▼ equals= not equals≠ enter your response here H1: ▼ sigmaσ alphaα ss Upper X overbarX betaβ muμ ▼ equals= not equals≠ enter your response hereA manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 418 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. H0: Ha:Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 4. What is the research hypothesis? a) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar = Mu) b)Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar = Mu) c) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu) d) Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)