A study was conducted to assess the impact of nutrient enrichment on zooplankton densities in A & B Islands. An ecologist sampled populations of zooplankton in these two locations and observed the nutrient enrichment level was higher in A island when compared with the level in B island. It is predicted the zooplankton densities in A island will be greater than those found in B island.
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A study was conducted to assess the impact of nutrient enrichment on zooplankton densities in A & B Islands. An ecologist sampled populations of zooplankton in these two locations and observed the nutrient enrichment level was higher in A island when compared with the level in B island. It is predicted the zooplankton densities in A island will be greater than those found in B island.
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- Consider the following hypothesis statement using α=0.01 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b.H0: μ1−μ2=0x1=14.5x2=13.0H1: μ1−μ2≠0s1=2.6s2=3.2n1=23n2=19Question content area bottomPart 1a. Calculate the appropriate test statistic and interpret the result. The test statistic is enter your response here.(Round to two decimal places as needed.)Part 2The critical value(s) is(are) enter your response here.(Round to two decimal places as needed. Use a comma to separate answers as needed.)Part 3Because the test statistic ▼ falls within the critical values,is less than the critical value,does not fall within the critical values,is greater than the critical value, ▼ rejectdo not reject the null hypothesis.Part 4b. Identify the p-value from part a and interpret the result.The p-value is enter your response here.(Round to three decimal places as needed.)Part 5Interpret the…. The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populationsThe American Carbon Registry provides approved measurement methodologies for energy companies who wish to show greenhouse gas emission reduction through retrofitting high-bleed pneumatic controllers with low-bleed controllers. Summary sample data from the two manufacturers are shown in the table below. Are the variances of the two manufacturers equal? Cemco Invalco Mean 510.5 628.9 Standard deviation 158.6 235.5 sample size 20 19 1. calculate the critical values for a= 0.10 2. calculate the test statistic (f calc)
- A consumer group, concerned about the mean fat content of a certain grade of ground beef, submits a random sample 12 packets of ground beef for analysis, to an independent laboratory. The percentage of fat from each packet is as follows Sample Percentage of Fat 1 21 2 18 3 19 4 16 5 18 6 24 7 22 8 19 9 24 10 14 11 18 12 15 The manufacturer claims that the mean fat content for this grade of ground beef is less than 20%. Assuming that the percentage fat content is normally distributed with a standard deviation of 3, conduct the appropriate hypothesis test and advise the consumer group about the validity of the manufacturer’s claim.Consider the following two independently chosen samples whose population variances are not equal to each other. Sample 1 12.1 13.4 11.7 10.7 14.0 Sample 2 10.5 9.5 8.2 7.8 11.1 a) Using a significance level of 0.025, test the null hypothesis that µ1 - µ2 ≤ 0. b) Calculate the p-value.Consider the following set of samples obtained from two normally distributed populations whose variances are equal: Sample 1: 11.2 11.2 7.4 8.7 8.5 13.5 4.5 11.9 Sample 2: 11.7 9.5 15.6 16.5 11.3 17.6 17.0 8.5 A) Suppose that the samples were independent. Perform a test of hypothesis to determine if there is a difference in the two population means. Use a significance level of 0.05.
- A computer information systems manager is debating which of two similarly priced laptop battery packs to purchase. He is interested in determining whether there is a difference in the average time the battery packs function before needing to be recharged. Based on two independent random samples, the following summary information was computed: Model 1 Sample size 15 Sample mean 6.2 hours Sample standard deviation 2.6 hours Model 2 Sample size 16 S Sample mean 6.5 hours Sample standard deviation 2.6 hours Assuming normal populations with equal variances, calculate a 99% confidence interval for the difference in the average functioning time of the two models. 10 engineering schools were surveyed. The first random sample of 250 electrical engineers had 80 women, and the second random sample of 175 chemical engineers had 40 women. Obtain an 80% confidence interval for the difference in proportions of women in these two engineering fields.Consider the following set of samples obtained from two normally distributed populations whose variances are equal: Sample 1: 11.2 11.2 7.4 8.7 13.5 Sample 2: 11.7 9.5 15.6 16.5 11.3 Suppose that the samples were independent. Perform a test of hypothesis to determine if there is a difference in the two population means. Use a significance level of 0.05. Also Estimate the p-value approximately.Consider the following hypothesis statement using α=0.01 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. H0: μ1−μ2=0 x1=14.5 x2=13.0 H1: μ1−μ2≠0 s1=2.6 s2=3.3 n1=22 n2=15 a. Calculate the appropriate test statistic and interpret the result. The test statistic is? The critical value(s) is(are)? b. Identify the p-value from part a and interpret the result.
- Carry out the hypothesis test for the mean of a normally distributed population given the following information: Ho: µ ≥1.6 Ha: µ ≠1.6 Sample size = 15, mean = 1.8, variance =25, α = .10Based on the above, check the validity of the hypothesis variances in the image belowThe director of marketing at Vanguard Corporation believes that sales of the company's Bright Side laundry detergent (S) are related to Vanguard's own advertising expenditures (A), as well as the combined advertising expenditures of its three biggest rival detergents (R).The marketing director collects 36 weekly observations on S, A, and R . Vanguard's marketing director is comfortable using parameter estimates that are statistically significant at the 10 percent level or better. Give the specific statistical tool that can be used to this problem.