The following 5 questions are based on this information.

Historically, the average number of boats owned by the people living in the coasts in a lifetime has been 12. An economist believes that the number is now lower because of recent economic downturns. A recent survey of 30 senior citizens indicates that the average number of boats owned over their lifetime is 10.

Assume that the random variable, number of boats owned in a lifetime (denoted by X), is normally distributed with a standard deviation ()is4.5.

1)Specify the null and alternative hypotheses.

2)The standard error (SE) of X is

3)The p-value is

4) The test statistics value is

5) At=0.10 and using the p-value reject?

please show step by step, equations . dumbproof it to the best of your ability

please dont type like this

P[ |X(bar)-| <25]

=P[ |(X(bar)-)/(/sqrt(n))| <25>

=P [ |Z|<2.678]

=P(-2.678

=P(Z<2.678)-P(Z<-2.678)