A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 mg claimed by the manufacturer. Test this claim at the p < .05 level of significance. The mean acetaminophen content for a random sample of n = 41 tablets is 603.3 mg. Assume that the population standard deviation is 4.9 mg.Question 12Answera.Since the test statistic is greater than the critical z, there is sufficient evidence to reject thenull hypothesis and to support the claim that the mean content of acetaminophen is not600 mg.b.Since the test statistic is greater than the critical z, there is insufficient evidence to rejectthe null hypothesis and to support the claim that the mean content of acetaminophen isnot 600 mgc.Since the test statistic is greater than the critical z, there is sufficient evidence to acceptthe null hypothesis and to support the claim that the mean content of acetaminophen is600 mg.d.Since the test statistic is less than the critical z, there is sufficient evidence to reject thenull hypothesis and to support the claim that the mean content of acetaminophen is not600 mg.

For the following scenarios, give the null and alternative hypotheses and state in words what µ represents in your hypotheses.Question 3: An analytical chemistry lab is conducting quality control tests on a drug. A single dosage of the drug should contain 8 mg of active ingredient. Of course, there will be a small amount of variability due to imperfections in the production process, but the mean of all dosages produced should be 8 mg. In 20 random samples, the mean amount of active ingredient is 7.7 mg. Do the data suggest that the mean amount of active ingredient in all dosages produced is different from 8 mg?

In testing the hypothesesH0: μ = 75.HA: μ < 75,the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?Group of answer choicesNone of the above statements is correct.The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.The probability that the population mean is smaller than 75 is 0.042.The smallest value of α that would lead to the rejection of the null hypothesis is 0.042.

A consumer advocacy group claims that the mean amount of juice in a 16 ounce bottled drink is not 16 ounces, as stated by the bottler. Determine the conclusion of the hypothesis test assuming that the results of the sampling lead to rejection of the null hypothesis.Question 9Answera.Conclusion: Support the claim that the mean is greater than 16 ounces.b.Conclusion: Support the claim that the mean is not equal to 16 ounces.c.Conclusion: Support the claim that the mean is equal to 16 ounces.d.Conclusion: Support the claim that the mean is less than 16 ounces.

A local fast food company sells a 16-oz soft drink. To determine if the soft drinks served contain less than the advertised 16 oz, a random sample of 20 drinks is chosen and the amount of drink in each cup is measured (without ice). The mean amount of soft drink was found to be 15.5 oz with a standard deviation of 0.4 oz. Based on the sample results we cannot claim that the soft drink contains less than 16 oz. Which form of statistical inference does this conclusion represent?

Watch your weight: A study published in 2008 reported that the mean weight of men aged 40-59 was 89.3 kg. Another study, published in 2016, reported that a sample of 192 men aged 40-59 had an average weight of 87 kg. Assume the population standard deviation is =σ14.2 kg. Can you conclude that the mean weight of men aged 40-59 is lower in 2016 than in 2008? Use the =α0.05 level of significance.Part: 0 / 50 of 5 Parts CompletePart 1 of 5(a) State the appropriate null and alternate hypotheses.H0: H1: The hypothesis test is a ▼left-tailed test.