answer P-values questions

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 23 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of2.09 seconds. At u= 0.01 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (3) Identify the claim and state Ho and Ha. H0: ].| s 14.5 Ha: 1,. > 14.5 (Type integers or decimals. Do not round.) The claim isthe alternative hypothesis. (b) Use technology to nd the P-value. Find the standardized test statistic, t. t= 2.07' (Round to two decimal places as needed.) Obtain the P-value. P= (Round to three decimal places as needed.)