A population of values has a normal distribution with μ=215 and σ=19.6. You intend to draw a random sample of size n=216. Find the probability that a single randomly selected value is less than 216.6. P(X < 216.6) = Find the probability that a sample of size n=216 is randomly selected with a mean less than 216.6. P(M < 216.6) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Q: The regression equation for predicting the number of speeding tickets (Y) has bo equals 24.83 and b;…

A: We have given that  b0=24.83 , b1=-0.332 and X=12

Q: The time that it takes for the next train to come follows a Uniform distribution with…

A: As per guidelines expert have to answer first question three subparts only dear student please…

Q: A regulation golf ball should weigh 45 grams. A company produces golf balls for the PGA. To help…

A:

Q: Find the probability a randomly selected z-score is less than -1.9.  Round your result to 4 decimal…

A:

Q: A sample of size 86 will be drawn from a population with mean 90 and standard deviation 24. Use the…

A: given that  n=86 mean=90

Q: The average American gets a haircut every 39 days. Do college students get their hair cut less…

A: A hypothesis test is a statistical  method that uses sample data to evaluate a hypothesis  about a…

Q: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/45…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: d. What is the probability that the sample mean will be between 250 pounds and 257 pounds? P (250…

A: Given that μ=247.2,σ=35,n=34

Q: Belng Click the icon to view the data tables. (Round to three decimal places as needed.) Approximate…

A: We have given that the probability distribution of the random variable X represents the number of…

Q: A distribution of values is normal with a mean of 237.9 and a standard deviation of 28. Find P90,…

A: From the provided information,

Q: How large a sample is required for you to be 95% sure that the estimate of the mean invoice is…

A: Answer: From the given data, Confidence level = 95% ⇒c = 95% = 0.95 Margin of error (E) = 3…

Q: Let X represent the full height of certain species of tree. Assume that X is normally distributed…

A: Given data,μ=35.2σ=28.7P(X&gt;58.2)=?

Q: A variable x is normally distributed in a population with mean u and standard deviation o. The…

A: The standard error of the mean of a simple random sample of size 100 chose from the population is…

Q: about 34 and a standard deviation of 11. Suppose that one individual is randomly chosen. Let…

A:

Q: Suppose that you want to perform a hypothesis test for a population mean. Assume that the population…

A: The population standard deviation is unknown. The sample size is small. The shape of the…

Q: you want to obtain a sample to estimate a population mean. based on previous evidence, you believe…

A:

Q: A sample of 3000 observations has a mean of 88 and a standard deviation of 13. The distribution is…

A: Solution :  Given:   n   = 3000 samples              x¯   = 88               s   = 13 For bell…

Q: alternative hypothesis, u6.5. Use a = 0.05 Conduct a t-test for the null hypothesis H: u = 100…

A: x=110 s=8α=0.05 Null hypothesis :H0:μ=100 alternative hypothesis: H1:μ&gt;100

Q: A lake is famous for cutthroat trout.  Suppose a friend tells you that the average length of the…

A:

Q: A student takes a 35-question multiple-choice exam, but did not study and randomly guesses each…

A: Given: A student takes 35 question multiple choice exam, but did not study  nd randomly guesses each…

Q: Select all statements that are TRUE. As the size of a sample increases, the mean of the distribution…

A: The sample size is the no. of participants or observations included in a study. The number is…

Q: professor at a local university finds that the mean exam grade for her students is 73 with a…

A: A professor at a local university finds that the mean exam grade for her students is 73 with a…

Q: Determine the probability of seeing a Z score of -5.28 or one with a larger absolute value.

A: Z = -5.28 P( Z &gt; -5.28) = 1 – P(Z &lt; -5.28) = 1 – 0 = 1 P(Z &lt; -5.28) = 0 (From Excel…

Q: The average THC content of marijuana sold on the street is 10.8%. Suppose the THC content is…

A: Given, mean= 10.8  Standard deviation= 1 So, variance= 12=1 So, X~N(mean,variance)= N(10.8,1)…

Q: Hayley has 120 apple trees of a certain variety in her orchard. She estimates the population of…

A: We have given that  Sample size n= 120 , mu= 99 , sigma =22 X~N(mu, sigma^2) Z-score = (x - mu) /…

Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling…

A: The mean is 242, the standard deviation is 69 and the sample size is 32.

Q: The mean weight of all Goliath grouper caught on the Treasure coast is 428 pounds, with a standard…

A: From the provided information, Mean (µ) = 428 Standard deviation (σ) = 59

Q: The probability a student has blue eyes is p. Five students are selected at random. Write down, in…

A: It was stated that the probability that a student has blue eyes is p. Five students are selected at…

Q: The mean and variance of a binomial distribution are 3 and 2 respectively. Find P(X < 3). 9.

A: Given data: np=3 np(1-p)=2

Q: GlenBluss Community College has a population mean GPA is 2.82 with population standard deviation of…

A: Let X be the GPA of college students. Let us assume that X is normally distributed with mean 2.82…

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

A:

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Given Mean=35 Standard deviations=9

Q: what is the test statistic associated with the test of significance?

A: Given that Sample size n = 10 Sample mean = 16.5 Population SD = 2

Q: 4. Entry to a certain University is determined by a national test. The scores on this test are…

A: Given: μ = 500 σ = 100

Q: (a) Now the factory wants to test the hypothesis that for each n = 45 product, the mean number of…

A: LCD (Liquid Crystal Display) is difficult to produce. Some defects are minor and can be removed,…

Q: ions by typ

A: The value of T is given as 96. The mean of the sample is , μ=96+6000=6096 kgm2. The standard…

Q: Q4 The time required for all cross-country skiers to complete a race has a normal  distribution…

A:

Q: A sample of 3000 observations has a mean of 80 and a standard deviation of 10. The distribution is…

A: Given Data: x¯=80s=10   The empirical rule is also known as 68-95-99.7 rule According to the…

Q: A sample is selected from a normal population with a mean of µ = 40.

A: sample mean a typical, representative value for the population when sample is large and the…

Q: Given X~N(50,16) and P(X > 25). The z-score value is: А. 25 – 50 С. 25 – 50 Z = 4 16 В. D. Z = 50 –…

A: Since, you have asked multiple questions, we will solve the first question for you. If you want a…

Q: Problem solving: Show your complete solution 1. The average number of heart beats per minute for a…

A: Let, X be the number of heart beats/minute. Sample mean= x¯ =85 Sample sd = s =10 Sample size = n…

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

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.