Question

Asked Apr 18, 2019

80 views

Suppose that young adults own an average of three pairs of jeans. Survey eight people from your class. The class size is 30. The sample mean is 30. The standard deviation is 10. Determine if the average is higher than three. Assume the population is normal.

Ho=___

Ha=___

In words, define the random variable ___ =___

The distribution to use for the test is ____

Determine the test statistic using your data

Draw a graph an label it appropriately. Shade the actual level of significance.

Step 1

Since the sample size is 8 and the population SD is not known we use the sample SD as an estimate of the population SD. This implies that only t-statistic is used and hence t-distribution is applicable. Also since the population is finite a finite correction factor would be used to calculate the SE of the mean of sampling distribution.

The hypotheses for the problem is as follows:

H_{0}: µ = 3

H_{a}: µ > 3

Step 2

Determine the appropriate statistical test. The test statistic is given below:

We assume a value of alpha as 0.05 (5% significance level to test the hypothesis).

Degree of freedom, df = n -1 = 8-1 = 7.

This test is one-tailed, and the critical table t value is

t0.05,7 = 1.895

We will reject the null hypothesis if the observed test statistic is greater than 1.895.

U...

Tagged in

Q: A company has a price demand function P (x) = 150 − 3x for a certain product. What is the revenue fu...

A: The price demand function is provided as P(x) = 150 - 3x.The revenue function is given by,R(x) = xP(...

Q: A recent poll by the American Automobile Club found that 74.5% of those surveyed are worried about a...

A: Hey there! Thank you for posting the question. As your question has more than 3 parts, we have solve...

Q: Midterm exam scores are normally distributed with a mean of 75 and a standard deviation of 6. If the...

A: According to the question , Midterm exam scores are normally distributed with a mean of 75 and a sta...

Q: What is your favorite color? A large survey of countries, including the United States, China, Russia...

A: A).State the appropriate hypothesis:Let P be the population proportion of individuals who claim blue...

Q: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $345,507 house fo...

A: Profit received by the agent if he sells the house = (Commission received – amount spent on advertis...

Q: See attachment for question.

A: Given X(n,p) is a binomial random variable with parameters n,p.n is total number of trailsp is proba...

Q: Q5. You are considering two investment choices: a. 1 year CD that pays 2% for sure; b. investing in ...

A: It is provided that the investment in CD has return of 2% for sure.So, the mean return of this inves...

Q: I asked the attached question earlier today, and a response was sent, but none of the answer appeare...

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials, s...

Q: Using the data below, determine whether the proportion for each group is equal using a 5% significan...

A: According to the given question, to test whether the proportion for each group is equal using a 5% l...