A researcher conducts a study with a sample of 41 observations to test the effectiveness of a new medication. The goal is to determine if the new medication changes the average recovery time from a specific illness, which is known to be 20 days with standard treatments. The null and alternative hypotheses are set as follows: Ho: μ = 20 H₂ µ ‡ 20 For each of the following t-values, calculate the p-value, compare it to x = 0.05, and state the decision about the null hypothesis. a) t = 1.684 b) t = 2.021 c) t=2.423

Fill in the blanks in the following source tables... Is F significant? If it is significant, at what alpha level?

S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM-e on patients who are struggling with cancer. She obtains a sample of n = 20 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice self-report inventory for measuring the severity of depression. The scores from the sample produced a mean of M = 24.4 with a standard deviation of s = 6.02. In the general population of cancer patients, the standardized test is known to have a population mean of 27.2. Because there are no previous studies using SAM-e with this population, the researcher doesn't know how it will affect these patients; therefore, she uses a two-tailed single-sample t test to test the hypothesis. From the following, select the correct…

Much concern has been expressed regarding the practice of using nitrates as meat preservatives. In one study involving possible effects of these chemicals, bacteria cultures were grown in a medium containing nitrates. The rate of uptake of radio-labeled amino acid (in dpm, disintegrations per minute) was then determined for each culture, yielding the following observations. 7,256 6,876 9,634 6,867 9,091 5,848 7,061 7,491 7,882 8,173 7,521 8,721 8,959 7,973 X 7,463 Suppose that it is known that the mean rate of uptake for cultures without nitrates is 8,000. Do the data suggest that the addition of nitrates results in a decrease in the mean rate of uptake? Test the appropriate hypotheses using a significance level of 0.10. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = 0.2142 State your conclusion. O Fail to reject Ho. We have convincing evidence that…

Much concern has been expressed regarding the practice of using nitrates as meat preservatives. In one study involving possible effects of these chemicals, bacteria cultures were grown in a medium containing nitrates. The rate of uptake of radio-labeled amino acid (in dpm, disintegrations per minute) was then determined for each culture, yielding the following observations. 7,255 6,875 9,637 6,863 9,098 5,846 8,954 7,979 7,068 7,498 7,882 8,179 7,528 8,728 7,469 Suppose that it is known that the mean rate of uptake for cultures without nitrates is 8,000. Do the data suggest that the addition of nitrates results in a decrease in the mean rate of uptake? Test the appropriate hypotheses using a significance level of 0.10. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t= P-value= State your conclusion. Reject H0. We have convincing evidence that the mean rate of…

A statistical program is recommended. Electric power consumption is measured in kilowatt-hours (kWh). The local utility company offers an interrupt program whereby commercial customers that participate receive favorable rates but must agree to cut back consumption if the utility requests them to do so. A certain company cuts back consumption at 12:00 noon Thursday. To assess the savings, the utility must estimate the company's usage without the interrupt. The period of interrupted service was from noon to 8:00 p.m. Data on electric power consumption for the previous 72 hours are available. Time Period 12-4 a.m. 4-8 a.m. (b) Compute 8-12 noon 12-4 p.m. 4-8 p.m. 8-12 midnight 41,310 Time Period 12-4 a.m. 4-8 a.m. 8-12 noon Monday 12-4 p.m. 4-8 p.m. 8-12 midnight 124,299 123,666 113,555 111,717 Seasonal Index 0.3262 0.4484 1.3647 Tuesday 1.6992 (a) Is there a seasonal effect over the 24-hour period? O No, the time series plot indicates a linear trend with no seasonal effect. O Yes, the…

To determine if their 1.33 centimeter galvanized pipes are properly adjusted, Fogarty Manufacturing has decided to use an X-Chart which uses the range to estimate the variability in the sample. Answer Step 5 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.41, 1.37, 1.34, 1.4, 1.39 Sample Mean: 1.382 ©2024 Hawkes Learning WN 45678 15 Table 9 10 11 12 13 Period obs1 obs2 1 2 1.3340 1.3260 obs3 obs4 obs5 Sample Mean Sample Range 1.34 1.29 1.35 1.33 1.35 1.3320 1.35 1.35 1.29 1.38 1.28 1.3300 3 1.34 1.35 1.32 1.33 1.34 1.3360 1.36 1.29 1.37 1.35 1.30 1.29 1.31 1.33 1.32 1.38 1.31 1.32 1.31 1.31 1.34 1.3180 1.34 1.38 1.31 1.29 1.33 1.35 1.33 1.30 1.35 1.32 1.34 1.37 1.28 1.36 1.37 1.37 1.29 1.30 1.28 1.30 1.35 1.32 1.29 1.36 1.38 1.36 1.32 1.31 1.29 1.37 1.3300 1.3300 1.3440 1.3080 1.3400 1.30 1.35 1.3280 1.35 1.32 1.3300 14 1.35 1.35 1.34 1.32 1.3400 1.32 1.36 1.29 1.32 1.3280 Control…

Two separate samples are selected from the same population. Each have an n=8. Both samples receive a different treatment. After the treatment, the first sample has SS=16 and the second sample has SS=24   Calculate the estimated standard error.     With a mean of 3 for the first group and mean of 6 for the second group, compute the t statistic. State the conclusion of these findings.     Calculate the estimated d AND r2.