A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 43.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.4 milligrams. At a= 0.09, can you reject the company's claim? Complete parts (a) through (e). ... O A. Ho: HS43.9 B. Ho H= 45 Ha H#45 Ha > 43.9 OC. Ho: H= 43.9 Ha μ+43.9 OD. Ho: H#43.9 H=43.9 OE Ho HS45 H H>45 Ho: μ45 H=45 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are +N

Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly is 120 millimeters of mercury (mm Hg), but she believes that the actual value is higher. She bases her belief on a recently reported study of 19 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 121 mm Hg , and the sample standard deviation was 20 mm Hg. Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the 0.1 level of significance, can it be concluded that μ , the mean systolic blood pressure among elderly adults, is greater than 120 mm Hg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (a) State the null hypothesis H0? and the alternative hypothesis H1? . H0:? H1:? (b) Determine the type of test statistic to…

A particular fruit's weights are normally distributed, with a mean of 271 grams and a standard deviation of 28 grams.If you pick 3 fruits at random, then 7% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.

A particular fruit's weights are normally distributed, with a mean of 317 grams and a standard deviation of 29 grams. If you pick 25 fruits at random, then 5% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.

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.

In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean of the scores is 40 and the standard deviation is 5. Assuming normal frequency distribution, determine the scores of the students within 1 standard deviation.

A particular fruit's weights are normally distributed, with a mean of 580 grams and a standard deviation of 30 grams.If you pick 100 fruits at random, then 20% of the time, their mean weight will be greater than how many grams?Enter your answer to the nearest gram.

A particular fruit's weights are normally distributed, with a mean of 701 grams and a standard deviation of 30 grams.If you pick 24 fruits at random, then 2% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.