Question
Question: The average score in a statewide aptitude exam for all FCAT students in the Florida state follows a normal distribution with a mean of
Question: The average score in a statewide aptitude exam for all FCAT students in the Florida
state follows a normal distribution with a mean of 75. A random sample of 36 students are
selected and the sample mean score of these 36 students is obtained as 85 with a standard
deviation of 20 points. Use 5% level of significance do we have sufficient evidence to prove that
the students are highly skilled in their mathematical abilities than the claimed average?
Null Hypothesis,H0:
.
{Fill the first blank with correct option which can be either = or < or > or <>. Fill the second blank with the hypothesized value, i.e., claim value}
Alternate Hypothesis,H1:
.
{Fill the first blank with the correct option which can be either = or < or > or <> for a two tail test. Fill the second box with the hypothesized value, i.e., claim value}.
This is atail test.
{Fill in the blank with either left or right or two}.
Sigma is;
{Based on the details given in the question, fill the blank with either known or unknown}
We have the sample size, n30.
{Fill the blankwith either = or < or > or <>}
We use- distribution.
{Fill the blank with z or t}
Critical value is=.
{Fill the first blank with z or t. Fill the second blank with the critical value rounded to four decimals; to report a critical value for two tail test just enter the positive value}
Test Statistic value is=.
{Fill the first blank with z or t. Fill the second blank with the computed test statistic value rounded to TWO decimals};
p-value =.
{Fill the blank with the computed p-value; Note that for a t-distribution, p-value will be in interval format. In that case, enter the answer as 0.005
Decision: p-value isthe level of significance,
{Fill the blank with < or > or = or <>}
At the given level of significance, we haveevidence to reject theH0
{Fill the blank with sufficient or insufficient}.
We conclude that the test is.
{Fill the blank with significant or insignificant}
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started