Question

In: Math

The mean high temperature on the equatorial island of Pacifica is µ = 82 F. For...

The mean high temperature on the equatorial island of Pacifica is µ = 82 F. For a random sample of 30 days following the eruption of a volcano on another island the mean high temperature on Pacifica was 76 F with standard deviation 8 . Does the data indicate that the mean temperature on Pacifica has changed? Use a 5% significance level.

Expert Solution

Null hypothesis H₀ :

Alternative hypothesis : H₁

Using Minitab:

Click Stat > Basic Statistics > 1-Sample t... on the top menu, as shown below:

You will be presented with the following 1-Sample t (Test and Confidence Interval) dialogue box:

Click on summerized data and fill required field.

By default, Minitab uses 95% confidence intervals, which equates to declaring statistical significance at the p < .05 level. If you want to change this, you can do so by first clicking on the button, which opens the 1-Sample t - Options dialogue box, as shown below:

Click O. Output of the one-sample t-test in Minitab

P-value < 0.05 we reject the null hypothesis and we conclude that data indicate that the mean temperature on Pacifica has changed.

Hope this will be helpful. Thanks and God Bless You :)

milcah answered 2 months ago

For normal data with unknown mean µ and σ^2, we use the prior f (µ, log(σ))...

For normal data with unknown mean µ and σ^2, we use the prior f (µ, log(σ)) = 1. 23 data points: 5.36 5.29 5.58 5.65 5.57 5.53 5.62 5.29 5.44 5.34 5.79 5.1 5.27 5.39 5.42 5.47 5.63 5.34 5.46 5.3 5.75 5.68 5.85 Q. Draw sample (or theoretical) posterior joint pdf of (µ, σ^2), marginal pdf of µ, marginal pdf of σ^2, and posterior predictive pdf.

A coffee shop takes daily data on the high temperature for the day in degrees F,...

A coffee shop takes daily data on the high temperature for the day in degrees F, and the number of cups of hot chocolate sold. They construct a scatterplot and examine the linear relationship.The least squares regression line equation is: y=76.42-1.38x (1)Using the slope value, describe the relationship in context. (2)Can this line equation be used to make a prediction for number of cups of hot chocolate sold when it's 60 degrees F outside? Explain.

It is commonly believed that the mean body temperature of a healthy adult is 98.6 F....

It is commonly believed that the mean body temperature of a healthy adult is 98.6 F. You are not entirely convinced. You collected data using 43 healthy people and found that they had a mean body temperature of 98.21 F with a standard deviation of 1.14 F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6 F. Please do not use a table, use calculator.

The body temperature of adults is normally distributed with a mean of 98.6°F and standard deviation...

The body temperature of adults is normally distributed with a mean of 98.6°F and standard deviation of 0.60°F. Suppose 36 adults are randomly selected, what is the probability that their mean body temperature is less than 98.0°F?

An observatory telescope consists of four 40cm f/2.5 telescopes on a single equatorial mount, with each...

An observatory telescope consists of four 40cm f/2.5 telescopes on a single equatorial mount, with each telescope being equipped with an 8208 x 6164 pixel CCD with 6 um pixels a. what is the focal length of the observatory telescopes? b. what is the pixel scale of the telescopes in arcseconds per pixel? c. what is the rectangular field of view of each telescope. Give an answer in degrees by degrees.

1. A town’s January high temperature averages 36 o F with a standard deviation of 10...

1. A town’s January high temperature averages 36 o F with a standard deviation of 10 o F, while in July the mean high temperature is 74 o F with standard deviation 8 o F. In which month is it more unusual to have a day with a high temperature of 55 o F? Explain your reasoning. Make sure to compute the z-scores for each temperature to help you compare.

It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You...

It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You are not entirely convinced. You believe that it is not 98.6∘F98.6∘F. You collected data using 51 healthy people and found that they had a mean body temperature of 98.2∘F98.2∘F with a standard deviation of 1.18∘F1.18∘F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F. a) Identify the null and alternative hypotheses? b)...

2) Human Body Temperature. A sample of 112 body temperatures with a mean of 98.20°F and...

2) Human Body Temperature. A sample of 112 body temperatures with a mean of 98.20°F and a standard deviation of 0.62°F. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 99.6°F, as is commonly believed. Is there sufficient evidence to conclude that the common belief wrong?

It has long been stated that the mean temperature of humans is 98.6 degrees F. However,...

It has long been stated that the mean temperature of humans is 98.6 degrees F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6 degrees F. They measured the temperatures of 44 healthy adults 1 to 4 times daily for 3 days, obtaining 200 measurements. The sample data resulted in a sample mean of 98.3 degrees F and a sample standard deviation of 1 degrees F. Use the P-value approach...

A satellite is moving with mean motion of 7.2815x10-5 rad/s in a circular equatorial orbit with...

A satellite is moving with mean motion of 7.2815x10-5 rad/s in a circular equatorial orbit with a semi major axis of 42150 km. Assume a mean earth radius of 6371 km, Kepler’s constant of 3.986005 x105 km3/s2 and k1= 66063.1704 km2. Determine: i) Orbital period in hour, minutes and second. ii) Velocity of satellite. iii) Rate of regression of the nodes and iv) Rate of rotation of line of apsides