I have 8 statistics equations

1. Homser Lake, Oregon, has an Atlantic salmon catch and release program that has been very successful. The average fisherman's catch has been μ = 4.7 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day. Assuming the catch per day has an approximately normal distribution, use a 10% level of significance to test the claim that the population average catch per day is now different from 4.7.

(a) Calculate sample mean x and standard deviation s. (Use 2 decimal places)

(b) What is the level of significance? 
 
(c) What is the value of the sample test statistic? (Use 3 decimal places)
 
(d) Find the P-value. (Express to 4 decimal places)
 

1. Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, and critical values. Express to a maximum of 3 decimal places.
   Claim: The mean time between uses of a TV remote control by males during commercials equals 5.00 seconds.

Sample data: n = 81, x = 5.25 sec, s = 2.70 sec. The significance level is α = 0.01.

1. Find the critical z value. Assume that the normal distribution applies.

Left-tailed test; α = 0.1

1. Find the critical z value. Assume that the normal distribution applies.

Right-tailed test; α = 0.01

1. Find the critical z values. Assume that the normal distribution applies.

Two-tailed test; α = 0.1

1.  (lower value)
    (higher value)

2. Use the given confidence interval limits to find the point estimate x and the margin of error E.
   0.637 < μ < 0.676
   x =  
   E = 

3. A simple random sample was taken to test the claim that the population mean is at least 17.50.

(b) What was the null hypothesis?

H0: μ ≤ 17.50H0: μ ≥ 17.50    H0: μ ≠ 17.50H0: μ > 17.50H0: μ = 17.50H0: μ < 17.50

(c) What was the alternative hypothesis?

H1: μ ≥ 17.50H1: μ > 17.50    H1: μ = 17.50H1: μ ≠ 17.50H1: μ < 17.50H1: μ ≤ 17.50

The report of a seat-belt study stated that older drivers were not statistically significantly more likely than younger drivers to over-report safety belt usage. The reported results were 27.4% versus 21.6%, with z = 1.39 and P > 1.00. 
What is the correct one-sided P-value for test statistic 

z = 1.39?

 (Round your answer to four decimal places.)