A researcher believes that about 70% 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 122 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. (If necessary, consult a list of formulas.)

Q: In a trial of 185 patients who received 10-mg doses of a drug daily, 48 reported headache as a side…

A: We have given that,  Favorable cases (X) = 48 and sample size (n) =185 Then,  We will find sample…

Q: Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to…

A: Concept of General Addition Rule:For any two events A and B the General Addition Rule state that:

Q: An executive believes that a new energy drink his company developed will increase an individual's…

A: Paired t-test statistic results:For testing whether the new energy drink increase an individual’s…

Q: A company that manufactures golf balls produces a new type of ball that is supposed to travel…

A: Given : A company that manufactures golf balls produces a new type of ball that is supposed to…

Q: A survey organization, as part of the United States Census Bureau, conducts a yearly census similar…

A:

Q: feels that the commute in his city is less and wants to publicize this. He randomly selects 25…

A: The hypotheses are given as follows: Null hypothesis: µ=25.4. Alternative hypothesis: µ<25.4.…

Q: The duration of residence for households is found to be exponentially distributed with λ = 0.37.…

A: The probability density function of an exponential distribution is as follows:…

Q: n electric car can equally likely run anywhere between 265 and 408 miles on a full charge. If we let…

A: Given: Lower limit of distance a car can run on full charge (a) = 265 miles Upper limit of distance…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A:

Q: your car is more crowded than you think.  table 5.8 reports results from a 1969 personal…

A: We know that  Mean = sum of all observations /total number of observations

Q: Find the probability that a car battery lasts more than 31 months.

A: Suppose that the useful life of a particular car battery, measured in months, decays with parameter…

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

Q: Find the mean and standard deviation for each uniform continuous model. Round the mean answers to 1…

A: Uniform Distribution :  Let, X is the random variable from uniform distribution . X -> U (a,b)…

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: The time between arrivals of vehicles at a particular intersection follows an exponential pr 5 a.…

A: The probability mass function and Cumulative distribution function for Exponential distribution is…

Q: A company that manufactures golf balls produces a new type of ball that is supposed to travel…

A: When conducting an experiment, a control is an element that remains unchanged or unaffected by other…

Q: Last year, 58% of butterflies in NC were monarchs.  We hypothesize that the proportion changed this…

A: From the provided information,Last year, 58% of butterflies in NC were monarchs.

Q: Miles (1000s of miles) Mean 150.7 Variance 4.661 Observations 46 Hypothesized Mean 150 45 p = Ex…

A: Find  p value, degree of freedom, n abd test statistic, sample mean and sample standard deviation,…

Q: A number of randomly selected heterosexual married couples were surveyed about their candidate…

A: Given the result of the survey conducted on randomly selected heterosexual married couples about…

Q: (b) Find the standard error. Round the answers to at least four decimal places, if necessary. The…

A: The given values are .

Q: A nationwide study of American homeowners revealed that​ 65% have one or more lawn mowers. A lawn…

A: The sample size is 497 and the test is right tailed.

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A:

Q: A survey organization, as part of the United States Census Bureau, conducts a yearly census similar…

A: Given that  90% confidence interval=(69699  , 69903) 90% confidence interval=(x̄-E , x̄+E)

Q: Suppose the distributions of arrival and service times were normal instead of exponential.  Let the…

A: The objective of this question is to estimate the long-run average number of people that would be in…

Q: A newspaper article reported that people spend a mean of 6 hours per day watching TV, with a…

A: Given Data Population Mean,μ = 6.0 Population Standard Deviation,σ = 2.0

Q: A survey organization, as part of the United States Census Bureau, conducts a yearly census similar…

A: From the provided information, Lower bound of confidence interval = 69723 Upper bound of confidence…

Q: A researcher wonders whether younger mothers have babies that are significantly heavier or lighter…

A: Suppose  is the population mean weight of babies of younger mother.It is needed to test whether the…

Q: Compute the residuals. Round your answers to three decimal places as needed. y Residual 10.334.2…

A: Given:   Cost X Number Y 10.3 34.2 10.6 34.2 11.8 34.9 13.7 36.4 15 37.2 17.3 37.8…

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

A: Obtain the probability that a randomly selected thermometer reads between−2.25 and−1.67. The…

Q: Suppose you roll one six-sided die. Let X = the number shown on the die. Calculate μ, the mean value…

A: There are 1,2,3,4,5,6 on a die  Probability of getting a number is = 1/6

Q: For each probability and percentile problem, draw the picture. Suppose that the useful life of a…

A: Solution

Q: If the probability of having a boy at birth is 50%. Find the probability that in 40 births there…

A: Given that  Population proportion p=0.50 Sample size n =40

Q: Assume that a procedure yields a binomial distribution with n=1348 trials and the probability of…

A: We have given thatn = 1348p = 52% = 0.52X ~Binomial(n, p) X ~ Binomial (1348, 0.52)

Q: A newspaper article reported that people spend a mean of 6 hours per day watching TV, with a…

A: Mean(μ)=6 standard deviation(σ)=2.0

Q: en percent of Americans are allergic to ragweed. Suppose a random sample of 200 people is selected.…

A: Given: Probability(p)=0.10Sample size(n)=200Number of success (x)=10 Condition :…

Q: Find the z-score for each score in the population. Round each of your z-scores to two decimal…

A: The importance of standard normal curve lies in the fact that one has not to tabulate probability…

Q: (a) We wish to test the null hypothesis that the Las Vegas predictions are unbiased. This will…

A:

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 u = 105 and a…

A:

Q: Use a numerical integration command on a graphing calculator to find the indicated probability. The…

A: Let X be the weight of 5 years old boy  Mean of X is μ=41, standard deviation is σ=6 X~N(μ=41,σ=6)

Q: A local county has an unemployment rate of 4.7%. A random sample of 20 employable people are picked…

A: It is given that-Probability that the person is unemployed is :Number of sampled population:

Q: A newspaper article reported that people spend a mean of 6 hours per day watching IV, with a…

A:

Q: What would happen to the variance of test scores if an instructor multiplies each score by 2? a. It…

A:

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.