The value for μ is 1,025. It is not 1,064
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- In 2019, the average SAT score in New York State was 1,064 with a standard deviation of 175. Solve for X using z-values obtained from Microsoft Excel and the Area Under the Curve Table. Population Mean, μ, = 1,064 Population Standard Deviation, σ, 175 X = μ + zσ What SAT score do you need to be among the top 0.5 percent? X μ z-value σ z = NORM.S.INV(0.995) 1,064 175 z w/Excel 1,064 175 Area Under the Curve Table What SAT score do you need to be among the top 2.5 percent? X μ z-value σ z = NORM.S.INV(0.975) 1,064 175 z w/Excel 1,064 175 Area Under the Curve Table What z-value is the cut-off point for the bottom 10 percent? X μ z-value σ z = NORM.S.INV(0.1) 1,064 175 z w/Excel 1,064 175 Area Under the Curve Table What z-value is the cut-off point for the bottom 1 percent? X μ z-value σ z = NORM.S.INV(0.01)…A college admissions officer indicates that the average GPA of incoming freshmen is normally distributed with a mean of 3.30 and a standard deviation of 0.20. If students with a GPA in the top 10% will be offered a scholarship, what is the minimum GPA required to receive a scholarship? (Hint: determine the z-score for a probability of 0.90, and then rearrange the equation for z-score using that z-score and solving for the value of x.Assume that monthly income follows a normal distribution with population mean µ = $4,000 and population standard deviation σ = $1000.A government agency wants to provide free health care to all individuals earning below a specified monthly income but the agency does not want to award this benefit to more than 1.1 percent (or 0.0110) of the population. What should this income cutoff be to make sure that not more than 5 percent of the population receive this free health care benefit? Show your work by providing the relevant equations and the final answer.
- Find the mean value of x and Find the standard deviation of x thanksAn article compared the dielectric constants between two types of asphalt, HL3 and HL8, commonly used in pavements. For 42 specimens of HL3 asphalt the average dielectric constant was 5.92 with a standard deviation of 0.15, and for 37 specimens of HL8 asphalt the average dielectric constant was 6.05 with a standard deviation of 0.16. Can you conclude that the mean dielectric constant differs between the two types of asphalt? Find the P-value and state a conclusion. The P-value is . Round the answer to four decimal places. We (Click to select) cannot can conclude that the mean dielectric constant differs between the two types of asphalt.Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94. Convert Jerrica’s score to a z-score.
- A population of scores has mean 80. in this population, a score of X= 86 corresponds to z= +2. what is the population standard deviation ?The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value that corresponds to the z-score 3.561 .Q3ii In measuring ignition duration, an engineer estimates that the standard deviation is 0.05 seconds. How large a sample of measurements must he take in order to be 95% confident that the error in his estimate of mean ignition duration will not exceed 0.01 seconds?
- Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 59.8 inches tall. (to 4 decimal places) Use the formula Z=x−μσ where μμ is the mean, σσ is the standard deviation, and x is the man's height.The quality inspector sampled 38 cups of bubble tea from a tea store and found the average sugar content is 7.832g and standard deviation is .977. Based on the standard making of bubble tea, a cup of bubble tea should have 7.8g of sugar. Can we infer at alpha = .05 the bubble tea's sugar content meets the requirment? (Solve using Z value and P value methods).Exercise 2.250 introduces a study showing thatfluoride exposure might have long-term negativeconsequences for the offspring of pregnant women.Part of the study examines the effect of adding flu-oride to tap water on mean fluoride concentrationin women. Summary statistics for fluoride concen-tration (measured in mg/L) for the two groups are given in Table 6.17. Find and interpret a 99% con-fidence interval for the mean increase in fluorideconcentration for those with fluoridated tap water. Answer the above questions in picture. Tap water Sample size mean St.Dev --------------- --------------- -------- ------ Fluoridated : 141 0.69 0.42 non-fluoridated 228 0.40 0.27