job placement director claim that the average starting salary for nurses is more than $24000. A sample of 32 nurses has mean of $24500 and standard deviation of $400. Is there any evidence to reject the director’s claim at α= 0.01?
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Q1) A job placement director claim that the average starting salary for nurses is more than $24000. A
sample of 32 nurses has mean of $24500 and standard deviation of $400. Is there any evidence to reject
the director’s claim at α= 0.01?
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- A study of the wages of 100 persons grouped in class-intervals of Rs. 10-12, 12-14..etc. revealed the mean wage to Rs. 32.02 and its standard deviation as Rs. 13.18. Later it was discovered that the wage of a labourer who was getting Rs. 57 was misread as 27. Calculate the correct mean and standard deviation.AnThe breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 60 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1775 pounds. To see if this is the case, 90 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1788 pounds. Can we support, at the 0.05level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. a. State the null hypothesis H0 and the alternative hyposthesis H1. b. Find the value of the test statistic. c. Find the p-value. d. Can we…
- 4. A distribution of scores has = 70. The z-score for X = 65 is computed and a value of z = +1.00. Regardless of the value of the standard deviation, why must this z-score be incorrect?3. It has been known in year 2020 that the average number of children of a Filipino family is 4. A random sample of 28 families were selected and found to have an average of 2.25 childrens with a standard deviation of 1.55 child. Can we say that the number of children of a Filipino family has gone lower? Use 0.05 level.According to the best available data, the standard deviation of the times spentby students doing statistics homework is 4.6 hours. What is the minimum sample sizeneeded so that we may be 90% confident that the margin of error in the sample is nomore than 0.5 hours?
- The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 26 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. b) Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1? Give your answer rounded to two decimal places. (c). Your doctor tells you you are in the 30th percentile (e.g. bottom 30%) for blood pressure among US adults. What is your systolic BP? Give your answer rounded to two decimal placeIn a random sample of 7 cell phones, the mean full retail price was $537.40 and the standard deviation was $188.00. Further research suggests that the population mean is $429.39. Does the t-value for the original sample fall between - to 95 and to g5? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t = fall between - to 95 and to 95 because to 95 (Round to two decimal places as needed.)3) A SRS of 25 of the same model of car results in an annual mean maintenance cost of $575 and a standard deviation of $58. A car sales person claims the annual mean maintenance cost of that model is less than $600. Test the claim with a = .01.
- suppose that IQ scores and one region are normally distributed with a standard deviation of 16. Suppose also that exactly 55% of the individuals from this region have IQ scores of greater than 100 ( and at 45% do not ). What is the main IQ score for this region carrier intermediate confusions to at least four decimal places around your answer to at least one decimal place.what are the corresponding standard deviation using each of these pairs? What would you infer from these derived scales/standard deviations?according to the bureau of labor statistics the average number of weeks an individuals is unemployes is 27 weeks with a standard deviation of 8 weeks. suppose a random sample of 39 unemployes individuals is taken find the propbablity that the sample average number of weeks unemployed is within 0.6 weeks of the population average
