According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 62 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively. E (a) Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. (Enter - for as needed.) #232.48 Ho HE u<32.48 (b) Using the sample from the 62 bottles, what is the test statistic? (Round your answer to three decimal places.) ✓ Using the sample from the 62 bottles, what is the p-value? (Round your answer to four decimal places.) p-value= (c) At a 0.05, what is your conclusion? O Reject H. We can conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48 Do not reject H. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. O Do not reject H. We can conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. O Reject H. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Ha² (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter te for as needed.) #232.48 #<32.48 H₂ ✓ Find the value of the test statistic. [Round your answer to three decimal places.) 1.479 x State the critical values for the rejection rule. Use a 0.05. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistics -1.670 test statistic 2 NONE State your conclusion. O Reject H. We can conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Q Search K H a 2:25 PM 10/24/2023

One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.02. Also, Karen had the lowest ERA of any female pitcher at the school with an ERA of 3.24. For the males, the mean ERA was 4.364 and the standard deviation was 0.639. For the females, the mean ERA was 3.801 and the standard deviation was 0.959 Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karen? (Note: In general, the lower the ERA, the better the pitcher.) Terry had an ERA with a z-score of Karen had an ERA with a z-score of (Round to two decimal places as needed) Which player had a better year in comparison with their peers? OA. Terry had a better year because of a higher z-score. OB. Karen had a better year because of a lower z-score. OC. Terry had a better year because of a lower z-score. O D. Karen had a better year because of a higher z-score. GIL

You want to examine the relationship between dropping out of high school and delinquency. You have a random sample of 11 students. You have the number of delinquent offenses that each student reported committing in the year before and after dropping out of school. The following table shows the data. Student Before dropping out After dropping out 1 5 7 2 9 5 3 2 3 4 7 7 5 8 11 6 11 13 7 8 4 8 8 10 9 5 7 10 2 1 11 9 3 From performing a hypothesis test to determine if the mean number of delinquent differs after dropping out, what is the obtained t?

Choose the correct option and explain.

An insurance company crashed four cars in succession at 5 miles per hour. The cost of repair for each of the four crashes was ​$421​, ​$469​, ​$416​, ​$232   . Compute the​ range, sample​ variance, and sample standard deviation cost of repair.

the mean charge for satellite television for a sample of households was $87.50 per month, with a standard deviation of $14.50 per month. Estimate the percent of satellite television charges between $73.00 and $102.00

The providence health maintenance organization wants to establish a criterion for recommending dietary changes if cholesterol levels are in the top 3%. What is the cutoff level for men aged 18 to 24 and the mean is 178.1 and the standard deviation is 40.7

Calculate the mean, median and sample standard deviation for the following data.      1, 5, 2, 6, 8

Given the set of data: {77, X, 75, 79, 79, X, 76, 75, X, 76}. If the unknown data X is the mode and the mean of the data set is 77.10. Determine the: (a) Mode (b) Median (c) Standard Deviation.

Kindly also calculate the median, standard deviation and the coefficient of skewness from the data.