Heights were measured for a random sample of 18 plants grown while being treated with a particular nutrilent. The sample mean and sample standard deviation of those height measurements were 39 centimeters and 10 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean u. Based on the sample, can it be concluded that u is different from 45 centimeters? Use the 0.1 level of significance. Perform a two-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. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: 0 文 H : 0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) Dand D (e) At the 0.1 level of significance, can it be concluded that the population mean height of treated plants is different from 45 centimeters? Yes No

On a standardized exam, the scores are normally distributed with a mean of 170 and a standard deviation of 20. Find the z-score of a person who scored 220 on the exam. Answer: Submit Answer attempt 1 out of 2

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P., the 58- percentile. This is the temperature reading separating the bottom 58% from the top 42%. P = °C Question Help: D Post to forum Submit Question Type here to search 耳

A survey found that​ women's heights are normally distributed with mean 63.1 in. and standard deviation 2.4 in. The survey also found that​ men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.5. Complete parts a through c below.Question content area bottomPart 1a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.The percentage of women who meet the height requirement is enter your response here​%.​(Round to two decimal places as​ needed.)Part 2b. Find the percentage of men meeting the height requirement.The percentage of men who meet the height requirement is enter your response here​%. ​(Round to two decimal places as​ needed.)Part 3c. If the height requirements are changed to exclude only the tallest​ 5% of men and the shortest​ 5% of​ women, what are the new height​ requirements? The new height requirements are…