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- 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 hereConsider 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)Question 12: Test the claim that the proportion of men who own cats is larger than 50% at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 53% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
- Question 17: A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 81% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 The test is: two-tailed right-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisQUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis?Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and an SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead. Explicitly state and check all conditions necessary for inference on these data. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration…
- QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesisQuestion 9 A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 61% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 60% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: left-tailed right-tailed two-tailed The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisA 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%
- question 4 Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below: What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?QUESTION 19 To study whether the students at a university are more or less satisfied with the current food service compared to the previous food service, a sample of 90 current students is taken and finds that 37 are satisfied with the current food service. A similar survey was taken for the previous food service in which 89 students surveyed found that 40 were satisfied with the previous food service. When testing the hypothesis (at the 5% level of significance) a higher percentage of students were satisfied with the previous food service than with the current food service, what is the test statistic? (please round your answer to 2 decimal places)Question 1 A meal supplement provider claims that the average difference in calories between two brands is 55. Provide the following: the null and alternative hypotheses explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed, • explain how you should interpret a decision that rejects the null hypothesis, and • explain how you should interpret a decision that fails to reject the null hypothesis.