A random sample of   n = 16 mid-sized cars tested for fuel consumption gave a mean of   x ¯ = 21.69 miles per gallon with a standard deviation of   s = 2.51 miles per gallon. Assuming that the miles per gallon given by all mid-sized cars have a normal distribution, find a 99 % confidence interval for the population mean,   μ . Round your answers to two decimal places.

Q: A random sample of 80 tires showed that the mean mileage per tire was 41,700 mi, with a standard…

A: (a) A random sample of 80 tires showed that the mean mileage per tire was 41700 mi, with a standard…

Q: A distribution of values is normal with a mean of 205.3 and a standard deviation of 65. Find P93,…

A: It is given that the values follow normal distribution with mean 205.3 and standard deviation 65.

Q: A simple random sample of 50 items resulted in a sample mean of 25.1. The population standard…

A: Formula : Margin of error: ME=Zα/2 * σ/√n

Q: The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 264.9…

A:

Q: Suppose that the standard deviation of the tube life for a particular brand of TV picture tube is…

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Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.1…

A: We know that, The Empirical rule: P( μ - σ < X < μ + σ ) = 68% P( μ - 2σ < X < μ + 2σ )…

Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 263.9…

A: a) The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: From a random sample of 54 donors, it was determined their mean amount given to charity was x̄=$70.5…

A:

Q: In a survey of adults with diabetes, the average body mass index (BMI) in a sample of 1924 women was…

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Q: A variable is normally distributed with a hypothesized population mean of 53 and a standard…

A:

Q: udents in group 2 had a mean score of 18 with a standard deviation etermine the 90% confidence…

A: 200 Students in group 1 with mean 24.8 and standard deviation 4.8 n1=200, x¯1=24.8, s1=4.8 200…

Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.3…

A: From the provided information, Mean (µ) = 253.3 Standard deviation (σ) = 67.1 Let X be a random…

Q: The distribution of scores on a standardized aptitude test is approximately normal with a mean of…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Mean = 98.25 Standard deviation = 0.66

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Empirical rule :  According to empirical rule ,  68% of data falls within the first standard…

Q: Q4. The standard deviation of the temperature in a large refridgeratored room should not exceed…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A:

Q: what two heights are approximately 99.7% of the data?

A:

Q: The population mean and standard deviation for the tensile strengths of steel specimens produced at…

A: Critical value: Critical value is the cut off point that divides the acceptance and rejection region…

Q: The birth weight of male babies in Poland is normally distributed with a mean of 3,603 grams and a…

A: We have given that,  Male babies is normally distributed with mean (mu) = 3603 and standard…

Q: 1. Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a…

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

Q: A distribution of values is normal with a mean of 141.6 and a standard deviation of 44. Find P65,…

A: Given Information: Mean μ=141.6 Standard deviation σ=44 To find Percentile P65: Using a standard…

Q: A sample of 9 female college students consumes an average of 9 liters of alcohol per month, with a…

A: given that,sample mean, x =9standard deviation, s =3.3sample size, n =9

Q: In a certain​ study, women's heights are found to be approximately normally distributed with a mean…

A: Given that, In a certain​ study, women's heights are found to be approximately normally distributed…

Q: A random sample of 70 tires showed that the mean mileage per tire was 41,200 mi, with a standard…

A:

Q: A sample of 9 female college students consumes an average of 9 liters of alcohol per month, with a…

A: Given data,n=9x=9s=3.3α=0.10

Q: A simple random sample from a population with a normal distribution of 100 body temperatures has…

A:

Q: Find the length of a 90% confidence interval for the mean of the sample with a population standard…

A:

Q: The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of…

A: The blood platelet counts of a group of women have a​ bell-shaped distribution. Bell-shaped…

Q: A teacher takes a random sample of 18 students and asks how long their commute to campus is, in…

A: Given,sample size(n)=18sample mean(x¯)=19.3standard deviation(S)=1.2degrees of…

Q: hundredth, for a tire that provided 46,900 mi of wear. z46,900 =  (b) The z-score for one tire was…

A: It is given that Mean = 41100 Standard deviation SD = 4700

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A: Given,standard deviation(σ)=8margin of error(E)=2α=1-0.94=0.06α2=0.03Z0.03=1.8808       (from…

Q: AT scores are distributed with a mean of 1,500 and a standard deviation of 285. You are interested…

A: We have given that  Mean=xbar=1500 Standard deviation=sigma=285 Margin of error=E=30 85% confidence…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A:

Q: A sample of 9 female college students consumes an average of 9 liters of alcohol per month, with a…

A:

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches standard…

A: NOTE: As per the guidelines, we are supposed to solve the first 3 sub parts only. a). Given:…

Q: Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a…

A: Given: Sample size, n=15 Let PE denote point estimate Sample mean, x¯=80.5sample standard deviation,…

Q: A simple random sample from a population with a normal distribution of 106 body temperatures has x=…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3)…

Q: How much money does the average professional hockey fan spend on food at a single hockey game? That…

A: The independent sample t-test is used when we want to estimate/compare the mean(s) of an independent…

Q: The average test scores in a Science class is normally distributed with a standard deviation of 8.…

A: Given that,  n=200 X bar=170 Std. dev.=σ=8

Q: The weights of running shoes are normally distributed with an unknown population mean and standard…

A: It is given that, the sample mean, x-bar = 12, n=23 and the sample standard deviation, s=3. The…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: (a) Obtain the approximate percentage of healthy adults with body temperatures within 2 standard…

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A:

Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 264.7…

A: a) Obtain the approximate percentage of women with platelet counts within 2 standard deviations of…

Q: An SRS of 400400 high school seniors gained an average of ?⎯⎯⎯=40x¯=40 points in their second…

A: Given that  Sample size n =400 Sample mean =40 Population standard deviation =25

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Given : Mean = u = 98.06 Standard deviation = σ = 0.45

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: According to the empirical rule, in the standard normal curve, approximately 68% of the area is…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: (a) Empirical rule: About 68% of all possible observations lie within one standard deviation from…