Continuous Distributions - Data Management If a set of data has a mean of 50 and a standard deviation of 4.5, what is the z-score for a value of 40?
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- How do I solve??The incomes of math tutors in a tutoring center of a university are normally distributed with a mean of $1100 and a standard deviation of $150 what percentage of tutors earn less than $900 a monthInterpret the Z score for a student who scored an 91 on an exam that had a mean of 86 and a standard deviation of 5. One mean above the standard deviation One standard deviation above the mean One standard deviation below the mean One mean below the standard deviation
- Accordi the historical data, the life expectancy in Mexico is equal to the life expectancy in Spain. A new study has been made to see whether this has changea. Records of 205 individuals from Mexico who died recently are selected at random. The 205 individuals lived an average of 71.8 years with a standard deviation of 2.6 years. Records of 250 individuals from Spain who died recently are selected at random and independently. The 250 individuals lived an average of 71.2 years with a standard deviation of 3.0 years. Assume that the population standard deviation of the life expectancy can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the life expectancy, H1, in Mexico is not equal to the life expectancy, µ,, in Spain anymore? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three…The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?H0 , test statistic, and p value please
- GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of 95. Estimate the percentage of scores that were(a) between 452 and 642. ________%(b) above 832._________ %(c) below 452. ___________%(d) between 357 and 642. ___________% Answer the blanks.The data in the table is points scored by a basketball team in a certain period of time. Use the data in the table to answer the bulleted statements.Españiol A scientist has read that the mean birth weight of babies born at full term is 7.4 pounds. The scientist has good reason to believe that the mean birth weight of babies born at full term, µ, is different from this value and plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.8 pounds and the standard deviation to be 1.8 pounds. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? Ho :0 ODetecting gypsy moths The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed with a mean of 0.5 and a standard deviation of 0.7. a. Explain why it is reasonable to use a Normal distribution to approximate the sampling distribution of for SRSS of size 50. b. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. c. In a recent month, the mean number of moths in an SRS of size 50 was = 0.6. Based on this result, is there convincing evidence that the moth population is getting larger in this state? Explain your reasoning.Data and summary statistics about college professor's salaries teaching at the Master's level was gathered from nine institutions. To better analyze the data was separated by gender to create two mound shaped distributions. Men had a mean of $67,691 and standard deviation of $14,506, while women had a mean of $65,323 and a standard deviation of $13,274. a b c d The value at tick mark "a" is The value at tick mark "d" is e Assume the tick marks are spaced a distance of 1 standard deviation apart. On your scratch work, label the horizontal axis of the normal curve above based on the men's salary, whose mean is $67,691 and standard deviation is $14,506 (i.e. label the values of tick marks a-g). The value at tick mark "e" is f g What percent of men's salaries are between $38,679 and $96,703? Your final answer should include a percentage sign (like 61%).
