A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During you tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 53.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. At a = 0.01, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. ΟΑ. Η0 μ5 5 Ha > 55 O B. Ho u#53.2 H3 u= 53.2 O C. Ho H#55 Ha = 55 ΟD. H μ< 53.2 H3: p> 53.2 O E. Ho H=53.2 Ha u#53.2 F. Ho: H= 55 Hi µ# 55 urar (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.

The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

It takes an average of 9.1 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 49 injured patients to immediately tell the truth about the injury and noticed that they averaged 8 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.31 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hint: Ho: ? H₁: ? Select an answer Select an answer C c. The test statistic? is -2.326. Enter it here d. The p-value is 0.0121364015. Enter it here e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) The data suggest the populaton mean is…

The average birth weight of elephants is 250 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 40 pounds. Find the birth weight of elephants at the 90th percentile.

A study reported that the mean concentration of ammonium in water wells in the state of Iowa was 0.71 milligram per liter, and the standard deviation was 1.09 milligrams per liter. Is it possible to determine whether these concentrations are approximately normally distributed. If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.

Ms. Gonzalez has recorded the test scores for each of her 25 students, She has calculated EX? = 320 and (EX) = 5,000, Calculate the estimated population standard deviation for her data. 1.98 2.24 O 5.00 O 3.95

The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation 40.5. All units are in mg/10 mL.  Find the 40th             The annual precipitation for one city is normally distributed with a mean of 26.8 inches and a standard deviation of 3.2 inches. What precipitation amounts will contain 99.7% of the observations?

A musicologist is attempting to determine the mean length of modern pop songs. She conducts a sample of 40 songs, and finds a sample mean of 214 seconds., with a standard deviation of 10 secods. Assume that the distribution of lengths of pop songs is nearly normal.Define your variable: Let p be the proportion of pop song that are seconds long. Let μμ be the mean length of the sampled pop songs, in seconds. Let μμ be the mean length of pop songs, in seconds.. Let p be the proprotion of songs in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place.        and  seconds.What is the margin of error? Round your answer to one decimal place.  seconds.According to Google, the mean length of pop songs is 210210. What do you think of this claim? The claim is inside the interval. It is reasonable. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It must be true. That claim is not in our…

You collected data from a random sample of students on their impressions of the university.  On a particular opinion item item, the mean for male students was 15.2 -- with a standard deviation of 3.4. The mean on that item for women was 14.4, with a standard deviation of 3.8. Calculate Cohen's d effect size. IN THE SPACE BELOW, write the effect size AND your interpretation of it.