An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, o
Posted: Mon Nov 15, 2021 9:55 am
An article in the San Jose Mercury News stated that students in
the California state university system take 4.5 years, on average,
to finish their undergraduate degrees. Suppose you believe that the
mean time is longer. You conduct a survey of 44 students and obtain
a sample mean of 5.1 with a sample standard deviation of 1.2. Do
the data support your claim at the 1% level? Note: If you are using
a Student's t-distribution for the problem, you may assume that the
underlying population is normally distributed. (In general, you
must first prove that assumption, though.)
1.State the distribution to use for the test. (Enter your answer
in the
form z or tdf where df is
the degrees of freedom.)
What is the p-value? (Round your answer to four
decimal places
2.What is the test statistic? (If using
the z distribution round your answers to two
decimal places, and if using the t distribution
round your answers to three decimal places.)
3.Indicate the correct decision ("reject" or "do not reject" the
null hypothesis), the reason for it, and write an appropriate
conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or
decimal.)
a=
4.Construct a 95% confidence interval for the true mean. Sketch
the graph of the situation. Label the point estimate and the lower
and upper bounds of the confidence interval. (Round your lower and
upper bounds to two decimal places.)
a__________ b________ c__________?
the California state university system take 4.5 years, on average,
to finish their undergraduate degrees. Suppose you believe that the
mean time is longer. You conduct a survey of 44 students and obtain
a sample mean of 5.1 with a sample standard deviation of 1.2. Do
the data support your claim at the 1% level? Note: If you are using
a Student's t-distribution for the problem, you may assume that the
underlying population is normally distributed. (In general, you
must first prove that assumption, though.)
1.State the distribution to use for the test. (Enter your answer
in the
form z or tdf where df is
the degrees of freedom.)
What is the p-value? (Round your answer to four
decimal places
2.What is the test statistic? (If using
the z distribution round your answers to two
decimal places, and if using the t distribution
round your answers to three decimal places.)
3.Indicate the correct decision ("reject" or "do not reject" the
null hypothesis), the reason for it, and write an appropriate
conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or
decimal.)
a=
4.Construct a 95% confidence interval for the true mean. Sketch
the graph of the situation. Label the point estimate and the lower
and upper bounds of the confidence interval. (Round your lower and
upper bounds to two decimal places.)
a__________ b________ c__________?