In the past Algebra classes, records show that the average score of the students in the mid-term exam was computed to be equal to 83.5 with a standard deviation of 4.82. If there are 50 students in a particular class, then assuming normality of the distribution, how many of the students are expected to have a midterm score of a.) Between 75-85?

Q: A given distribution has a population mean, μ, of 127 and a population standard deviation, σ, of 11.…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 127 and…

Q: A given distribution has a population mean, μ, of 134 and a population standard deviation, σ, of 7.…

A:

Q: The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is…

A: Solution Here we will use one sample t test to test the mean amount of summer rainfall for the…

Q: A given distribution has a population mean, μ, of 121 and a population standard deviation, σ, of 7.…

A:

Q: A given distribution has a population mean, μ, of 131 and a population standard deviation, σ, of 14.…

A: Given information Mean = 131 Standard deviation = 14

Q: A survey of 1000 women ages 20 to 30 found that their heights were normally distributed, with a mean…

A: (a) From the given information The mean is 65 in. and a standard deviation is 2.5 in. The mean x¯ of…

Q: A given distribution has a population mean, μ, of 114 and a population standard deviation, σ, of 12.…

A:

Q: A given distribution has a population mean, μ, of 116 and a population standard deviation, σ, of 8.…

A: From the provided information,

Q: A given distribution has a population mean, μ, of 113 and a population standard deviation, σ, of 6.…

A: A given distribution has; a population mean(μ)=113 and a population standard deviation(σ)=6 find…

Q: A given distribution has a population mean, μ, of 106 and a population standard deviation, σ, of 8.…

A:

Q: A given distribution has a population mean, μ, of 125 and a population standard deviation, σ, of 14.…

A:

Q: Suppose that the scores on a statewide standardized test have a bell shape distribution with a mean…

A: Given that Mean = 79,s.d=6 (b) P(X>97 )=? (c) P(X<73) =? (d)P(61<x<85) =?

Q: The grades on a test follow a normal distribution with a mean mark of 70 and a standard deviation of…

A:

Q: A given distribution has a population mean, μ, of 150 and a population standard deviation, σ, of 6.…

A: Distributions are of 2 types, discrete and continuous. A normal distribution is a continuous…

Q: The mean weight of 500 male students at a certain college is 80 kg, and the standard deviation is 8…

A:

Q: A given distribution has a population mean, μ, of 142 and a population standard deviation, σ, of 11.…

A:

Q: A group of male basketball players has a mean height of 79 inches and a standard deviation of 1.7…

A: Introduction: Denote X as the height of a randomly chosen male basketball player. A group or sample…

Q: n the first quarter of 2019, the average home loan for first time buyers was R950, 000. Assuming a…

A: Given : In the first quarter of 2019, the average home loan for first time buyers was R950, 000…

Q: The heights of 100 high school students are measured, with a mean of 175 cm and a standard deviation…

A:

Q: In the past Algebra classes, records show that the average score of the students in the mid-term…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Let, X=…

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Given Information: If a distribution of test scores is normal, with a mean of 78 and a standard…

Q: A normal distribution has a mean of u standard deviation of o = 12. For each of the follow- ing…

A: Given info: Here, mean, µ = 30 and σ = 12

Q: The test scores for a very large statistics class have a bell-shaped distribution with a mean of 72…

A: We have given that  X~N(mu, sigma^2) mu = 72  Z-score =(x-mu )/sigma

Q: A given distribution has a population mean, μ, of 101 and a population standard deviation, σ, of 15.…

A: Z-score for any Raw score X is given by, Z Score=(X-mu)/sigma Where mu is mean and sigma is standard…

Q: A study at school showed that the mean number of students in a class was 20 with a standard…

A: Given mean number is 20 = m Given standard deviation is 7 = sd Given student number is 24 = x We…

Q: A given distribution has a population mean, μ, of 139 and a population standard deviation, σ, of 15.…

A: Given data, Mean( μ)=139 sd( σ)=15 If x=81 z=?

Q: The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given…

A: Let the random variable X denote grade score. Then, X~Nμ, σ2 with μ=74 and σ=7. Let α be the lowest…

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: If a distribution of test scores is normal, Mean = 78 Standard deviation = 11

Q: A given distribution has a population mean, μ, of 108 and a population standard deviation, σ, of 12.…

A:

Q: The mean rate for satellite television for a sample of households was $49.00 per month, with a…

A: From the provided information, Mean (x̅) = $49.00 Standard deviation (s) = $2.50 Confidence level =…

Q: A given distribution has a population mean, µ, of 110 and a population standard deviation, o, of 15.…

A: The population mean is = 110 And the SD = 15 The value of X is 140

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A: The mean is 263 and the standard deviation is 14 days.

Q: A given distribution has a population mean, μ, of 101 and a population standard deviation, σ, of 8.…

A:

Q: A given distribution has a population mean, μ, of 131 and a population standard deviation, σ, of 11.…

A:

Q: A given distribution has a population mean, μ, of 106 and a population standard deviation, σ, of 11.…

A: Mean = 106 Standard deviation = 11 Raw score = 104

Q: A given distribution has a population mean, μ, of 137 and a population standard deviation, σ, of 15.…

A: Given, μ=137 σ=15 x = 110 z=?

Q: A given distribution has a population mean, μ, of 136 and a population standard deviation, σ, of 12.…

A: Given, Mean(μ) = 136 standard deviation ( σ) = 12 raw score (x) = 147

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A:

Q: The manufacturer of an extended-life lightbulb claims the bulb has an average life of 13,000 hours…

A: Given Information: Mean Life (u) = 13000 hours Standard Deviation (s) = 1000 hours

Q: A group of friends compares what they received while trick or treating. They find that the average…

A: Solution: Let X be the number of candies. From the given information, µ=43, σ= 2 and z-score is…

Q: In the past Algebra classes, records show that the average score of the students in mid-term exam…

A:

Q: A company sells sunscreen in 500 milliliter (ml) tubes. In fact, the amount of lotion in a tube…

A: (a)

Q: average GPA of 2.78 with a standard deviation of 0.45.

A: Given that  GPA is normally distributed . A sample of university students has an average GPA of 2.78…

Q: A given distribution has a population mean, μ, of 142 and a population standard deviation, σ, of 12.…

A:

Q: A given distribution has a population mean, μ, of 145 and a population standard deviation, σ, of 5.…

A:

Q: The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given…

A: Given: Average=74 Standard deviation=7 z value for 88th percentile z=1.18(consulting the table…

Q: In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean…

A: Given: In a class with 50 students, a 60-item test is conducted. After the test, it is found that…

Q: A given distribution has a population mean, μ, of 143 and a population standard deviation, σ, of 6.…

A: we have given that  mean (μ) =143 ,standard deviation(σ)=6   and  ,   X=112 and X ~N(μ=143 ,σ^2 =36)…

Q: A given distribution has a population mean, μ, of 138 and a population standard deviation, σ, of 9.…

A:

Q: A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 15.…

A: