A researcher believes that about 73% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 170 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that fewer than 127 of the 170 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.

Q: A particular fruit's weights are normally distributed, with a mean of 483 grams and a standard…

A: Given, Mean, μ = 483 standard deviation, σ=17  We have , Z = x-μσ

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A: We have to use normal approximation to the binomial distribution  First we will calculate mean and…

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A:

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A: Solution: Given data p = 0.313 n =19 To find : Expected number of hits in her next 19 times at bat?…

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A: We have given that the binomial distribution with parameters n=1369 and p=49% = 0.49. The pmf of…

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A:

Q: Compute the test statistic. Round to two decimal places.

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Q: a. Find the standard error comparing the sample means. Interpret. The standard error is se=

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Q: sample proportion is p= und to three decimal places as needed.)

A: Given Number of sample of teenagers between 13 to 17 year of ages(n)=280

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A: Given information- We have given the probability of an individual blood sample testing positive for…

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: Can you explain null and alternative hypothesis using examples

A: Null and alternative hypotheses: Null hypothesis is a nullified statement about population parameter…

Q: Find the z score of the value 2.5 in the data set {1.90, 3.00, 2.5, 3.71, 2.12, 1.76, 2.71,1.39,…

A: From the provided information,

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A: Susan obtained z-score of 1.22 we have to find the percentage of individuals a test score higher…

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A: The probability of a bulb lasting for at most 540 hours is calculated below:

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A: Given that  Sample size n =35 Population proportion p=35%=0.35

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Q: Find the mean for this binomial distribution. (Round answer to one decimal place.) Find the standard…

A: It is given that Number of trials n = 1497 Probability of success p = 0.81

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

A: From the provided information,

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A: Given that  Z follows standard normal distribution with mean zero and standard deviation one  Z ~…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: We have given thatMean(µ) = 0Standard deviations (σ) = 1X ~ N (µ, σ )= N(0, 1)

Q: Assume that adults have IQ scores that are normally distributed with a mean of 103.5 and a standard…

A: Given that mean = 103.5 and standard deviation = 25

Q: From 2000 to 2023, the number of people in Virginia (in millions) can be modeled by P=0.08x+6.97…

A: Given that the number of people in Virginia (in millions) can be modeled by, where  corresponds to…

Q: The proportion of eligible voters who will vote for Shaun Spicer in the next Presidential election…

A: