1) A) An article on IMBD commented that the mean number of movies owned (either

Question

1) A) An article on IMBD commented that the mean number of movies owned (either in DVD or digital form) by college students was 14, with a standard deviation of about 6. An interested teacher at BYU suspects the mean for BYU students is higher than 14. She collects data from an SRS of 100 BYU students. Suppose we know that the number of movies owned in the population of BYU students is Normally distributed with standard deviation ? = 6. We seek evidence against the claim that ?= 14. What is the mean of the sampling distribution of x? with samples of 100 students if the claim ? = 14 is true?

Select one:

a. 14.0

b. 18.0

c. 6.0

d. 20.0

B)If samples of size 100 are taken from a Normal population distribution with mean ?= 14, the sample means will have the following sampling distribution of x?:

A random sample of 100 BYU students had a mean of x? = 16. What can you conclude?

a. The mean (?) number of movies owned by BYU students is higher than 14.

b. There is no evidence to say the mean (?) number of movies owned by BYU students is higher than 14.

C)Referring to the above questions, suppose the sample of 100 BYU students had a sample mean of x? = 14.6. What can you conclude?

a. The mean (?) number of movies owned for BYU students is higher than 14.

b.There is no evidence to say the mean (?) number of movies owned for BYU students is higher than 14.

Explanation / Answer

A) AS GIVEN THE CLAIM FOR THE SAMPLE MEAN =14 IS TRUE THEN THE MEAN OF SAMPLING DISTRIBUTION WILL BE 14, THAT IS OPTION A IS CORRECT.

B) IN THIS AS THE SAMPLE MEAN IS 14 THEN WE CAN CLEARLY SAY THAT THE MEAN WILL BE HIGHER THEN 16 AS THE NUMBER WILL BE LESS AND MEAN WILL INCREASE. OPTION A

C)IS SAMPLE MEAN IS 14.6 THEN WE CANNOT SAY ANYTHING ABOUT THE MEAN TO BE HIGHER THEN 14 AS THE NUMBER IS ITSELF NEAR AND LARGE BY 14. OPTION B

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