Question

1: A numerical measurement that describes a population is called a ___________.

2: For any data set, approximately what percentage of the data is less than the 60th percentile?

4: Sally’s z-score for her test was ? = 1.4. Her actual score was ? = 84. The class standard deviation was ? = 2.0. What was the mean of the test?

5: The batting average of the Macomb College baseball team is normally distributed with a mean of 0.272 and a standard deviation of 0.030. If John is at the 80th percentile, find his batting average.

6: The probability that a person will get a cold this year is 0.6. If 10 people are selected at random, find the probability that exactly 5 of them will get a cold this year. Round to the nearest ten-thousandth.

7: If ?(?) = 0.35 , ?(?) = 0.25, and the events ? and ? are disjoint (mutually exclusive), then ?(? ?? ?) = _________.

9: Assume values are normally distributed with a mean of 20 and standard deviation of 4. Find the probability that a randomly selected value lies between 15 and 28. Round to the nearest ten-thousandth.

10: All possible random samples of size ? = 100 are selected from a population with mean ? = 25 and standard deviation ? = 9. The standard error of the mean ??̅ is _________.

11: In a Gallup poll of 1000 randomly selected adults, 347 of them said they were underpaid. Construct a 95% confidence interval estimate of the percentage (proportion) of all adults who say that they are underpaid. Round to the nearest hundredth.

12: If you are using a ? −test when testing a claim about a population mean and the sample size is 53, the number of degrees of freedom is ________.

Use the following information for questions 13, 14, 15, and 16:

A state inspector claims that the Mill Valley Bottling Company is cheating consumers by filling bottles with less than 64 ounces of juice. The inspector randomly selects 41 of these bottles, measures their content, and obtains a mean of 63.75 ounces and a standard deviation of 0.86 ounces.

13: State the Null Hypothesis (?0) and Alternate Hypothesis (?1) for the test of the inspector’s claim.

14: Find the value of the test statistic for testing the inspector’s claim. Round to the nearest hundredth.

15: Find the P-value. Round to the nearest ten-thousandth.

16: When ? = 0.05, would you reject or fail to reject the null hypothesis? Additionally, state the proper conclusion of the test.

17: A veterinarian collected a random sample of pairs of data consisting of heights (?) and weights (?) of Chihuahuas. She computed the test statistic for this data to be ? = 0.500, the mean height (?̅) to be 7.6 inches, the mean weight (?̅) to be 5.2 pounds, and the regression equation to be ?̂ = 0.8? − 0.88. If the critical values for this data are ? = ±0.444. Find the best predicted weight (in pounds) for a Chihuahua that is 6.5 inches tall. Round to the nearest hundredth.

18: A study investigates income level in the U.S. to determine if it is independent of region. If there are 20 regions and 4 income levels, how many degrees of freedom are there to find the critical value for a ?2 test of independence?

20: Assume that matched pairs of data result in the given number of signs when the value of the second variable is subtracted from the corresponding value of the first variable. There are 8 positive signs (+), 7 negative signs (−), and 2 ties (zeros). Using the sign test with ? = 0.05 significance level, state the test statistic, the critical value, and whether or not you would reject the null hypothesis of no difference in the variables.

Test statistic = ____ ; Critical Value = _____ ; Reject or Fail to Reject Null Hypothesis?

Please just provide the final answer there is NO need for explain the question. Thanks and have a great day.

Answer 1