Question

Grandfather clocks have a particular market in auctions. One theory about the price at an auction is that it is higher when there are 10 or more bidders.

From published data, the average price of all grandfather clocks is given as $1,327.
You are not given a standard deviation for all clocks.
You are given a random sample of 14 purchases of grandfather clocks at auctions in Pennsylvania where there are 10 or more bidders. Assume your sample is random and approximately normal. The sample statistics are:Mean = $1,491.43Std Dev = $411.53C.V. = 27.59N = 14
You are asked to test to see if the price is higher than $1,327 when there are 10 or more bidders. You will use alpha = .05.What is the t-value you would use as a critical value for this hypothesis test?

Use 3 decimal places for your answer and use the proper rules of rounding.

Answer 1

t value is 1.495

Step-by-step explanation:

The null and alternative hypothesis are :

H0 : mu = 1327

ha: mu > 1327

This is a one tailed test

Critical value = 1.771

at 0.05 significance level with df = 14-1 = 13

test statistics:

s = 411.53, n = 14

t = (xbar -mu)/(s/sqrt9n))

= ( 1491.43 - 1327)/(411.53/sqrt(14))

= 1.495

Decision:

Reject H0 if tstat > 1.771

Fail to reject H0