Reference no: EM132413565

According to the National Health Statistics Reports, the mean height for U.S. men is 69.4 inches. In a sample of 300 men between the ages of 60 and 69, the mean height was x¯ = 69.0 inches. Public health officials want to determine whether the mean height μ for older men is less than the mean height of all adult men at the 0.01 level of significance. Assume the population standard deviation is σ = 2.84 inches.

State the null and alternate hypothesis. In the first box, enter the appropriate symbol (like = or < or >), and in the second box, enter the appropriate value.

H₀:  μ _____ _______  inches

H₁:  μ _____ _______  inches

Summarize the usual information in the space below.

α = _________

μ =_______  inches

σ = _______ inches

n = _____ men

x¯ = ______ inches

Find the usual information.

σ_x¯ = ______ inches          Round to the nearest thousandth.

z =   __________          Round to the nearest hundredth.

p-value =   _________     Give your answer to four decimal places.

Fill in the blanks of the conclusion: We __________ the null hypothesis since the results ____________ at the α = _______ level.

Based on the results of the hypothesis test, can we conclude that the mean height for older men is less than the mean height of all adult men?  ______