In a hypothesis test with hypotheses Ho : µ = 90 and H1 : µ # 90, a random sample of 16 elements selected from the population produced a mean of 91.9 and a standard deviation of 4.9. The test is to be made at the 2% significance level. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Q: A sample of n = 38 data values randomly selected from a normally distributed population has variance…

A:

Q: Researchers examined the effect of caffeine on response time in the driving simulator. For the…

A:

Q: mean score for the most recent applicants is lower than 70. He randomly samples the scores of 10…

A:

Q: A statistics professor takes a random sample of 25 students who have taken a special statistics…

A: From the provided information, Sample size (n) = 25 Sample average (x̄) = 86 Sample standard…

Q: A sample of n = 43 data values randomly selected from a normally distributed population has varlance…

A: Degrees of freedom = n-1=43-1=42 (by using the standard normal table)

Q: A simple random sample of size n=15 is drawn from a population that is normally distributed. The…

A:

Q: Exercise No. 5 t-TEST FOR INDEPENDENT SAMPLES 1. Do left-handed persons type slower than…

A: A t-test will be used Given: xl=133.8nl=8sl=14.7xr=136.2nr=11sr=15α=0.05

Q: You collect a random sample of 100 children and compute X¯X¯= 47.5 inches, the average height in…

A: The sample size is 100, sample mean is 47.5, sample standard deviation is 6, and population mean is…

Q: sample of n=5 scores has M-20 and s2 =4. What is the sample standard deviation?

A:

Q: In a manufacturing unit, the desired average time to fully manufacture a object is 3.6 hours. A…

A:

Q: When 45 people used a certain diet for one year, their weight losses had a standard deviation of 4.8…

A: From the provided information, Sample size (n) = 45 Sample standard deviation (s) = 4.8

Q: A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A researcher examined the effect of music on memory. For the general population, the distribution of…

A:

Q: A sample of 100 observations has a sample mean of 500 and a sample standard deviation of 50. Conduct…

A: Introduction: Hypothesis testing is a statistical method used to make decisions about a population…

Q: Eighteen undergraduate students were randomly selected from a university and their systolic blood…

A: Given datan=18x¯=126.4σ=11μ=118

Q: A sample of n = 19 data values randomly selected from a normally distributed population has variance…

A:

Q: Suppose a random sample of adult women has a sample mean height of x¯=64.3 inches, with a sample…

A: From the Empirical rule, we know that 99.7% fall within three standard deviations from the mean.…

Q: Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 2.15 kg with a…

A: It is given that Sample size n = 15 Sample SD s = 0.32 Population SD = 0.48

Q: Scores on an IQ test are normally distributed.  A sample of 25 IQ scores had standard deviation s=…

A: The question is about confidence interval Given : Sample size of IQ scores ( n ) = 25 Sample std.…

Q: (a) Is it appropriate to use a Student's t distribution? Explain. O Yes, because the x distribution…

A:

Q: Devise a null and alternative hypothesis then perform a one sample z-test using alpha 0.05 if the…

A: Here the sample size is less than 30 , we will use t-distribution for the Hypothesis test  United…

Q: A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected Sobe…

A: Given : Sample size (n) = 20 Sample mean (X) = 41.0 Sample standard deviation (s) = 3.7 α = 0.01…

Q: Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a…

A: Given that  σ=0.37 , s=0.49 , n=19

Q: average age to be Sample mean of 2.05 years. The population standard deviation is known to be o =…

A: The null hypothesis states that the average age of coyotes is 1.75 years.The alternative hypothesis…

Q: Scores on an IQ test are normally distributed. A sample of 18 IQ scores had standard deviation s =…

A: Confidence interval: The (1-α) % confidence interval for population variance is given by:

Q: A sample of n=36 scores has a standard error of 3. What is the standard deviation of the population…

A: given data  n = 36 standard error(σx¯) = 3 population standard deviation(σ) = ?

Q: A sample of n = 18 data values randomly selected from a normally distributed population has variance…

A: Solution: Given data n = 18 S2 = 24.8 To Find : 95 % confidence interval for the population…

Q: Find the 90% confidence interval for the variance and standard deviation of the ages of students at…

A: Confidence interval: The (1-α) % confidence interval for population standard deviation is given by:

Q: A random sample of n =18 data from a normal distrinution with unknown variancex= 25.1 and s=3. 24.…

A: Givensample size(n)=18Mean(x)=25.1Variance(s2)=3.24standard deviation(s)=3.24=1.8

Q: According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14…

A: Given : sample size, n =225 sample mean, x̄ =3.05 population standard deviation,σ=1…

Q: Assume the scores on a standardized test are known to follow a bell-shaped distribution with a mean…

A: Here,  Sample size =1250 Mean=90 Variance =9 Standard deviation =3 Empirical rule: 68% of the data…

Q: A sample of n = 24 data values randomly selected from a normally distributed population has variance…

A:

Q: Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 2.25  kg  with a…

A: Given : Population mean (μ) = 2.25 Population SD (σ) = 0.53 Sample size (n) = 16 Sample SD (S) =…

Q: A normal population has a standard deviation of 10. A random sample of 100 is taken to test H0:μ =…

A: Given: H0:μ = 50 H1:μ ≠ 50