1. A college admissions officer for the school’s online undergraduate program cl

Question

1. A college admissions officer for the school’s online undergraduate program claims the mean age of online undergraduate students is 23 years of age. What is the probability that the sample of 40 would have produced a mean age of 24 or higher with a sample standard deviation of 1.7 years of age. Be sure to set up the two competing hypotheses and provide a statistical conclusion statement at a 5% level of significance for your results.

2. You run the advertising department for a large hotel chain. Prior analysis of your reservation system concluded that 50% or fewer of your guests made reservations online using your hotel’s website. A new study was done that included responses from 600 randomly sampled quests, of which 55% said they register using the hotel website. If the true proportion were 50% or less, what is the probability your sample data would produce a sample proportion of 55% or higher? Be sure to set up the two competing hypotheses and provide a statistical conclusion statement at a 5% level of significance for your results.

3. For problems 1 and 2, explain in regards to the problem what would be a Type I error.

4. Using Minitab, repeat problems 1 and 2. Copy and paste your output below. OR at least help me with the program please

Explanation / Answer

1) WE WILL DO THIS QUESTION BY TEST STATIC OR T TEST

Ho= U = 23

Ha = u>23

t test = (x-mean)/(standard deviation/sqrt(n))

x = 24

mean = 23

n = 40

standard deviation = 1.7

now put the values

= (24-23)/(1.7/sqrt(40)) = 3.731

now we have degree of freedom = 40 - 1 = 39

alpha = 0.05

the pe value will be taken from the t table = 0.0003

which is significant at p<0.05

therefore we will accept the null hypothesis.

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