The survey of study Habits and Attitudes (SSHA) is a psychological test that mea

Question

The survey of study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200, with 200 being the highest level of motivation. The mean score for U.S. college students have better attitudes toward school gives the SSHA t 20 students who are at least 30 years of age. a. State the null and alternative hypotheses b. The teacher collects the data from the 20 students, and their mean is 135.2. Calculate the z score c. Find the P-value. d. Is there statistical significance? If so, what level e. What conclusion can you draw? Your company sells exercise clothing and equipment on the Internet. To design the clothing, you collect data on the physical characteristics of different types of customers. We take a sample of 24 male runners and find their mean weight to be 61.79 kilograms. Assume that population standard deviation is sigma = 4.5. a. Calculate the Margin of Error for a 95% confidence interval b. Find the 95% confidence interval around this mean. The weights of the eggs produced by a certain breed of hen are normally distributed with mean 65 grams and standard deviation of 5 grams. a. What is the probability that one egg selected at random from a hen house will weigh more than 68 grams? b. Consider a carton of 12 eggs to be a SRS of hen's eggs. If you were to take a large number of repeated samples of size n = 12, what would the mean and standard deviation be of these sample means? c. What is the probability that the average weight of the 12 eggs in a carton selected at random will be more than 68 grams?

Explanation / Answer

(A)
Below are the null and alternate hypothesis
H0: mu <= 115
H1: mu > 115 (Claim of teacher that older students have better attitude towards school)

(B)
xbar = 135.2
z-score = (135.2 - 115)/(30/sqrt(20)) = 3.0112

(C)
p-value = P(z>3.0112) = 0.0013

(D)
There is no statistical signifance till the level of 0.01. It is there for 0.001.

(E)
As p-value is less than significance level of 0.05, we reject the null hypothesis. This means there are sufficient evidence to conclude teacher's claim.

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