Stats Test--Hypothesis Testing for the Mean

Which of the following is the FIRST step of a hypothesis test?

• Check assumptions & conditions
• Find your test statistic
• State your conclusion
• State your null & alternative hypotheses

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

• H₀: μ > 64"

  H_A: μ = 64"

• H₀: μ = 64"

  H_A: μ > 64"

• H₀: p = 64"

  H_A: p ≠ 64"

• H₀: p = 64"

  H_A: p > 64"

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weigh 18.4 lbs. What is the null and alternate hypothesis?

• H₀: μ = 18.4

  H₁: μ = 18.4

• H₀: μ = 18.4

  H₁: μ > 18.4

• H₀: μ = 18.4

  H₁: μ < 18.4

• H₀: μ = 18.4

  H₁: μ ≠ 18.4

A mayor is concerned about the percentage of city residents who express disapproval of his job performance.  His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%.  They will use a follow up poll to access effectiveness.  What are the correct null and alternative hypotheses?

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. What are the null and alternate hypotheses?

• H₀: The average amount of money in pockets = $5.40

  H_A: The average amount of money in pockets ≠ $5.40

• H₀: The average amount of money in pockets = $5.40

  H_A: The average amount of money in pockets > $5.40

• H₀: The average amount of money in pockets = $5.40

  H_A: The average amount of money in pockets < $5.40

• H₀: The average amount of money in pockets > $5.40

  H_A: The average amount of money in pockets = $5.40

1.      What is used when the alternative hypothesis is non-directional which means that the values of two measures of the same kind are not equal?

• Left-tailed test

• Right-tailed test

• Two-tailed test

• One-tailed test

  The mean height of Grade 12 students is less than 66 inches

• left-tailed test

• right-tailed test

  The average grade of Grade 11 students in Statistics is higher than their average grade in Calculus.

• two-tailed test

• right-tailed test

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. At α = 0.05, test the teacher’s claim that the

average amount of money is actually higher than $5.40.

Please state the hypotheses, critical value, draw a graph, complete z-score, and give a decision.

The average miles on a tank of gas for the Ford

Explorer is 300 miles with a standard deviation of 22

miles. A consumer group feels the average is actually

lower. They survey 40 vehicles and find the average

miles per tank is 290 miles. At α = 0.05, test the

consumer groups’ claim that the miles per tank is

actually lower than 300 miles.

Please state the hypotheses, critical value, draw a graph, z-score, and a decision.

Tags

CCSS.HSS.ID.A.4