A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking distance for the new design. A) Define the parameter of interest and state the relevant hypothesis. B) Suppose braking distance for the new system is normally distributed with sigma=10. Let X denote the sample average braking distance for a random sample of 36 observations. Which values of X are more contradictory to H0 than 117.2, what is the P-value in this case, and what conclusion is appropriate if alpha=.10? C) Find the cutoff point "c" such that rejection region X <= c with probability type 1 error = 0.1. Then Calculate beta(115).

The annual rainfall in a certain region is modeled using the normal distribution shown below.

An article compared the dielectric constants between two types of asphalt, HL3 and HL8, commonly used in pavements. For 42 specimens of HL3 asphalt the average dielectric constant was 5.92 with a standard deviation of 0.15, and for 37 specimens of HL8 asphalt the average dielectric constant was 6.05 with a standard deviation of 0.16. Can you conclude that the mean dielectric constant differs between the two types of asphalt? Find the P-value and state a conclusion.   The P-value is  . Round the answer to four decimal places.   We   (Click to select)   cannot   can  conclude that the mean dielectric constant differs between the two types of asphalt.

Assume that IQ scores are normally distributed with μ = 100 and σ = 15 What IQ score would be needed to score in the top 2% of IQ scores?

2. A medicine company has manufactured and claimed that their medicine pill contains an average of 14mg of active ingredient. Null Hypothesis: Alternative Hypothesis: Parameter: average Claim: average of 14mg RUBRIC

A manufacturer of sport shoes must control the water resistance of the product. Water resistance is measured by the amount of water (height in millimeters) that can be suspended above the fabric before water seeps through. The mean and standard deviation of the normally distributed variable have been estimated at u = 3114 mm and o = 135 mm. According to some newly introduced specifications, the desired water resistance should be between 2900 and 3700 mm. What is the upper limit of the natural tolerances range for the water resistance variable? Your answer:

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc

find the minimum for the upper quartile

Please do not give solution in image formate thanku.

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…