GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean. a. Ho u 3.5 mg vs. H₁: <3.5 mg b. Ho: 3.5 mg vs. H₁>3.5 mg C. H: -3.5 mg vs. H₁: # 3.5 mg a Ob Oc (b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places.) Test statistic

the researcher wishes to use numerical descriptive measures to summarize the data on each ofthe two variables: hours worked per week and yearly income.a) Prepare and display a numerical summary report for each of the two variables including summary measures such as mean, median, range, variance, standard deviation, smallest and largest values and the three quartiles.Notes: Use QUARTILE.EXC command to generate the three quartiles. b) Compute the correlation coefficient using the relevant Excel function to measure the direction and strength of the linear relationship between the two variables. Display and interpret the correlation value.

A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.53. You believe that the proportion is actually less than 0.53. The hypotheses for this test are Null Hypothesis: p > 0.53, Alternative Hypothesis: p < 0.53. If you select a random sample of 27 people and 18 have a food allergy and/or sensitivity, what is your test statistic and p-value? 1) Test Statistic: 1.423, P-Value: 0.923 2) Test Statistic: -1.423, P-Value: 0.077 3) Test Statistic: -1.423, P-Value: 0.923 4) Test Statistic: 1.423, P-Value: 0.077 5) Test Statistic: 1.423, P-Value: 1.846

A researcher administers a treatment to a sample from a population with a mean of µ=60. If the treatment is expected to increase scores and a one-tailed test is used to evaluate the treatment effect, then the alternative hypothesis would state that u> 60. A. true     B. false

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A traffic coordinator for a community wishes to determine whether or not there is any difference in the average age of female and male drivers involved in rear-end accidents. The hypothesis test is: Ho: 41 = 42 (no difference in mean age) 10 H1: (mean age is different) A random sample of males and females involved in rear-end accidents results in the following Minitab summary: N MEAN MEDIAN TRMEAN STDEV SE MEAN FEMALES 33 23.91 20.00 23.38 9.77 1.70 MALES 38 28.87 28.50 28.44 9.67 1.57 а). What is the value of the test statistic? Appropriate test: Test statistic = b). What is the decision rule at the 0.025 level of significance? с). What is the conclusion?

I got stuck on how to do the work for these, with null hypothesis.

Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 2.15 kg with a standard deviation of 0.48 kg. After years of marked oxygen depletion from pollutants in the creek, you want to perform a hypothesis test to see if the standard deviation, ơ, of weights has changed. To do so, you measure the weights of 15 randomly chosen mature rainbow trout from the creek and find that the sample standard deviation is 0.32 kg. Under the assumption that current weights of mature rainbow trout in the creek follow a normal distribution, you will perform a chi-square test. Find x, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places.

Scores on an IQ test are normally distributed.  A sample of 25 IQ scores had standard deviation s= 8. Construct a 95% confidence interval for the population variance σ2 .