An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 210 engines and the mean pressure was 6.6 pounds/square inch. Assume the standard deviation is known to be 0.6. A level of significance of 0.01 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic. Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcut

A study compared the weight loss of people on a low-fat diet versus people on a low-carb diet. In a sample of 100 obese people on a low-fat diet the sample mean weight loss as 7.6 pounds with a standard deviation of 3.2 pounds. In another sample of 120 obese people on a low-carb diet the sample mean weight loss was 6.7 pounds with a standard deviation of 3.9 pounds. Write down all formulas and state the hypothesisa) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weightloss of using the 2 different diets.  b) What is the p-value?

Dr. Shoals predicts that people who walk a mile in moderately high heels will have less back pain than when they walk in very high heels. 27 participants walk in 4-inch heels and then 2.5-inch heels. He calculates the standard deviation of the difference scores and finds sD = 3.37. The mean back pain when walking in 4-inch heels is 6.75, and when walking in 2.5-inch heels, it is 3.25. What is the t statistic for this experiment

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A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight loss is about 8 pounds. How large a sample should he take to estimate the mean weight loss to within 4 pounds, with 97% confidence? Sample Size =

Erin is a nutritionist and cardiologist. She is testing whether the average total cholesterol level of adults in the region is less than 175mgdL. Erin randomly selects 25 people in the region who willingly allowed their blood to be drawn for the survey. Based on several previous studies, Erin assumes that the population standard deviation for the total cholesterol level is 30.22mgdL. For this test: H0:μ=175; Ha:μ<175, which is a left-tailed test. The test results are: z0=−1.158, p-value is = 0.123   Using a 5% level of significance, which of the following are appropriate conclusions for this hypothesis test?  Select all that apply. Select all that apply: We reject H0.   We fail to reject H0.   At the 5% significance level, the data provide sufficient evidence to conclude that the average total cholesterol level of adults in the region is less than 175mgdL.   At the 5% significance level, the data do not provide sufficient evidence to conclude that…

The weights for a baby boy is normally distributed with a mean score of 7lbs and a standard deviation of 0.8lbs. determine the following:

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…