The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for less than 368 minutes. For a sample of 78 patients, the mean time the drug stayed in the system was 363 minutes. Assume the variance is known to be 529.   State the null and alternative hypotheses for the above scenario

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 422 gram setting. Based on a 24 bag sample where the mean is 424 grams and the standard deviation is 14, is there sufficient evidence at the 0.1 level that the bags are overfilled? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.

In a hypothesis test, a small value for the sample variance increases the likelihood that a statistically significant treatment effect will be detected. O True O False

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 438.0 gram setting. It is believed that the machine is underfilling the bags. A 46 bag sample had a mean of 436.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the variance is known to be 400.00. Enter the decision rule.

Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at Emmanual​ Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results​ were:                                                                                                                              Sample Sample Mean​ (in.) Range​ (in.) Sample Sample Mean​ (in.) Range​ (in.) 1 11.404 0.044 7 11.403 0.021 2 11.400 0.051 8 11.407 0.058 3 11.389 0.042 9 11.397 0.039 4 11.406 0.037 10 11.403 0.038 5 11.395 0.048 11 11.401 0.054 6 11.397 0.053 12 11.406 0.061 Part 2 For the given​ data, the x ​= enter your response here inches ​(round your response to four decimal​ places).   The control limits for the ​3-sigma ​ R-chart are ​(round all intermediate calculations to three decimal places before…

An engineer has 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 4.1 pounds/square inch. The valve was tested on 26 engines and the mean pressure was 4.3 pounds/square inch with a variance of 0.25. Is there evidence at the 0.01 level that the valve performs above the specifications? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Step 5 of 5: Make the decision to reject or fail to reject the null hypothesis.

A Brisbane warehouse buys pre-packed bulk bags of Bundaberg Sugar with an advertised mean weight of 20 kilograms. To determine the validity of the advertised claim, the warehouse manager took a random sample of 55 packets from the latest shipment and found an average weight of the packets of 20.011 kilograms. Bundaberg Sugar know, from analysing data over many years, that their 20kg bulk bag packing process results in a standard deviation of 45 grams. 1. State the direction of the alternative hypothesis used to test the advertised claim. Type the letters gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. 2. Use the tables in the text to determine the critical value used to conduct the test, assuming a 10% level of significance. If there are two critical values, state only the positive value. 3. Calculate the test statistic, reporting your answer to two decimal places 4. Is the null hypothesis…

How is a process operating in statistical control distinguished from one that is not

How many ppm defective parts would be expected in a +/- 4 sigma normally distributed unstable process? Assume the mean shifted by +/- 1.5σ from the target.

What is the meaning of x ~ N (50, 20)?   1. Sampling distribution of x is distributed with a mean of 20 and a standard deviation of 50   2. x-bar is normally distributed with a mean of 20 and a standard deviation of 50   3. x is normally distributed with a mean of 50 and a standard deviation of 20   4. Sampling distribution of x is distributed with a mean of  50 and a standard deviation of 20