1: A numerical measurement that describes a population is called a ___________. 2: For any data set,...

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Statistics

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

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

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

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

6: The probability that a person will get a cold this year is0.6. If 10 people are selected at random, find the probability thatexactly 5 of them will get a cold this year. Round to the nearestten-thousandth.

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

9: Assume values are normally distributed with a mean of 20 andstandard deviation of 4. Find the probability that a randomlyselected value lies between 15 and 28. Round to the nearestten-thousandth.

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

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

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

Use the following information for questions 13, 14, 15, and16:

A state inspector claims that the Mill Valley Bottling Companyis cheating consumers by filling bottles with less than 64 ouncesof juice. The inspector randomly selects 41 of these bottles,measures their content, and obtains a mean of 63.75 ounces and astandard 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 theinspector’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 nullhypothesis? Additionally, state the proper conclusion of thetest.

17: A veterinarian collected a random sample of pairs of dataconsisting of heights (?) and weights (?) of Chihuahuas. Shecomputed the test statistic for this data to be ? = 0.500, the meanheight (?̅) to be 7.6 inches, the mean weight (?̅) to be 5.2pounds, and the regression equation to be ?̂ = 0.8? − 0.88. If thecritical values for this data are ? = ±0.444. Find the bestpredicted weight (in pounds) for a Chihuahua that is 6.5 inchestall. Round to the nearest hundredth.

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

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

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

Please just provide the final answer there isNO need for explain the question. Thanks and havea great day.

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