Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a meanheight of 63.9 inches. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from thenational mean? Assume that the population standard deviation of the heights of women in the city is 3.8 inches.Click here to view a partial table of areas under the standard normal curve.Set up the hypotheses for the one-mean z-test.Ho: H62.7Ha H 62.7The test statistic is z= 3.16(Round to two decimal places as needed.)The P-value is(Round to four decimal places as needed.)

We have given that The null and alternative hypothesis are H0 : µ = 62.7Ha : µ ≠ 62.7 The test…

Answered: Suppose the mean height of women age 20…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1526, 1528, 1503, 1513, 1531, and 1516. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1519. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? (a) The mean is 1519.5. (Round to one decimal place as needed.) The median is 1521 (Type an integer or a decimal. Do not round.) (b) The mean is (Round to one decimal place as needed.)
Imagine that every elementary school in California is measured on several characteristics and then given an overall Quality Score. In Los Angeles Unified School District, the schools have an average (mean) quality score of 101.8 with a standard deviation of 7.2. One school in Los Angeles, Carver Elementary, gets a quality score of 104.5. In San Francisco Unified School District, the schools have an average (mean) quality score of 102.3 with a standard deviation of 9.4. One school in San Francisco, Bryant Elementary, gets a quality score of 99.5. Find the Z-scores for both of these two schools (Carver Elementary in Los Angeles, and Bryant Elementary in San Francisco)
An economist wants to find out if there is difference in the monthly expenses of families from Makati and QuezonCity. He surveyed 10 families in Makati and 12 families on Quezon City. He found that the average monthly expensesin Makati is Php. 28, 450 with a standard deviation of Php. 3,100, while in Quezon City, the average monthlyexpenses is Php. 27, 950 with standard deviation of Php. 3,020. At 5% level of significance, what can be concludedabout the data? What is the critical value of the test statistic?
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 10 million dollars and a standard deviation of 1.2 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. ☐ million dollars X 5
Suppose that the quarterly sales levels among healthcare information systems companies are approximately normally distributed with a mean of 12 million dollars and a standard deviation of 1.1 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a standard deviation of 4.05. What height represents the 95th percentile?
The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.05 level of significance to see if the mean life spans in the county were the same for whites and nonwhites. a) The null and alternative hypothesis would be: O Ho: Pw = PN H1: Pw > PN Mil :ºH H1: Hw + HN %3D O Ho: Pw H1: Pw µN Ho: µw H1: µw 0.05 d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis
An economist would like to estimate the mean amount of money that afamily spends to within $36. If the amount spent by a family isconsidered to be normally distributed with a standard deviation of $200,what sample size would be necessary to be 91% confident? Draw the graph.
A Statistics instructor wanted to compare the scores on the same final exam given to students at a local community college and local university. The Statistics instructor feels that students at the community college would be better prepared and have higher exam scores on the final exam. After grading the final exams from both institutions, the Statistics instructor found that for a sample of 36 community college students, the sample had a mean score of 84 with a standard deviation of 3.4. A sample of 45 university students had a mean score 79 with a standard deviation of 2.6. Construct a 95% confidence interval for the difference between population mean exam scores. Round your final results to one decimal place. _____________ ≤ ??? − ????? ≤ ______________
It has been found that with the standard dosage of a drug, the change in people’s uric acid levelis normally distributed with a mean of 240 and a standard deviation of 60. What proportionof people receiving the standard dosage of this drug experience changes in uric acid levelbetween 210 and 270?
The last class of data to be examined is grouped data vs. ungrouped data. Differentiate between the two giving an example to assist with your explanation. Given the list of numbers, 13. 15. 19, 21, 12, 18, 16, 15, 17. Find , mean mode, median, range, interquartile range, and standard deviation
Describe the scores in a sample that has a standard deviation of zero

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