The factory produces a certain type of sunblock. each barrel with the sunblock has some impurities in it. let the random variable X be the amount in grams of impurities in a given barrel. the mean of X is 6.50 grams with standard deviation 1.50g. a random sample of 50 barrels is collected and the average amount impurities per barrel is measured what is the approximate probability that this sample mean is less than 7.00g? use the z- table Round the answer to the nearest hundredth.

Q: The average IQ in Sarah’s class is 105 with a standard deviation of 15. What is the z score of Sarah…

A:

Q: The distribution of the height of a tomato plant is normal with population mean u and population…

A: Given, σ=10Let μ=μP(Z≤z)=0.40From z-tableP(z≤0.253)=0.40

Q: A teacher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10%…

A: Here we need to find the mean, median and mode for the given normal distribution. Also we need to…

Q: The amount of radiation that a person can absorb and survive varies from person to person. It is…

A: Given that.   X~N( μ , ?^2 )   μ=500     , ?=150   Z-score =( x - μ )/?

Q: Write down the formulas for the standard deviation of x.

A: The formula for the sample standard deviation can be written as: Here, n is the sample size and x̅…

Q: The average price of a new two-story townhouse is 1,600,000 pesos, find the maximum and minimum…

A: Given Information : The average price of a new two-story townhouse is 1,600,000 pesos . Assume that…

Q: During the busy season, it is important for the shipping manager at ShipMundo to be able to estimate…

A: Given Mean =155 Standard deviation=10

Q: Many students did an exam, the mean was 15 and the standard deviation was 32 The highest mark was…

A: Given Mean μ=15, standard deviation σ=32  X=103

Q: To assess the air quality in a surgical suite, the presence of colony-forming spores per cubic meter…

A: {12,24,30}

Q: A constructor decided to build homes that will include the middle 80% of the market. If the average…

A: The middle 80% is that 40% to the right of the mean and the 40% to the left of the mean.Hence, the…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.