Question

A local newscaster reports that the average rainfall in the month of June is approximately 91...

A local newscaster reports that the average rainfall in the month of June is approximately 91 mm. However, a meteorologist wishes to test this claim, believing that the average rainfall in June is actually higher than 91 mm. He collects data on the average June rainfall for 10 randomly selected years, and computes a mean of 94 mm. Assuming that the population standard deviation is known to be 18.4, and that rainfall is normally distributed, determine each of the following:

a) What are the appropriate hypotheses:

H0:μ=91,HA:μ≠91
H0:X¯=91,HA:X¯>91
H0:μ=91,HA:μ>91
H0:X¯=91,HA:X¯≠91

b) Calculate the appropriate test statistic.

Round your answer to at least 3 decimal places.

   

c) What is the appropriate conclusion that can be made, at the 5% level of significance?

There is sufficient evidence to reject the null hypothesis, and therefore conclude that the mean rainfall in June is more than 91 mm.
There is insufficient evidence to reject the null hypothesis, and therefore no significant evidence that the mean rainfall in June is different from 91 mm.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A local newscaster reports that the average rainfall in the month of June is approximately 88...
A local newscaster reports that the average rainfall in the month of June is approximately 88 mm. However, a meteorologist wishes to test this claim, believing that the average rainfall in June is actually higher than 88 mm. He collects data on the average June rainfall for 10 randomly selected years, and computes a mean of 90 mm. Assuming that the population standard deviation is known to be 18.9, and that rainfall is normally distributed, determine each of the following:...
A recent market report states that despite the recent drop in price, the mean price of...
A recent market report states that despite the recent drop in price, the mean price of a barrel of oil has historically remained constant at 39.10 USD (US dollars). However, an investor believes this is an inaccurate report, and thinks the mean price of a barrel of oil is something else. The investor collects data on the price per barrel of oil for 24 randomly selected years, and calculates a mean and standard deviation of 41.1 USE and 8.35 USD...
An article reports the following values for soil heat flux of eight plots covered with coal...
An article reports the following values for soil heat flux of eight plots covered with coal dust. 32.4 36.6 32.4 34.2 35.4 29.0 18.3 24.1 The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using α = 0.05. State the appropriate hypotheses. H0: μ...
Consider testing ?0:?=.50H0:p=.50 ??:?<.50Ha:p<.50 If the sample information produced a test statistic of ?=−1.17z=−1.17, then p-value...
Consider testing ?0:?=.50H0:p=.50 ??:?<.50Ha:p<.50 If the sample information produced a test statistic of ?=−1.17z=−1.17, then p-value = and For each statement, select the correct null hypothesis, ?0H0, and alternative hypothesis, ??HA, in symbolic form. (a) An industry trade publication claims that the population average size of a television sold in the US is 45 inches. The owner of an appliance stores believes the actual population mean size is larger than this. The store owner randomly selected 30 recent television purchasea...
You may need to use the appropriate appendix table or technology to answer this question. Consider...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ = 22 Ha: μ ≠ 22 A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (Round your test statistics to two decimal places and your p-values to four decimal places.) (a) x = 24 Find the...
In an observational study of teams fishing for lobster in a particular​ area, the average distance...
In an observational study of teams fishing for lobster in a particular​ area, the average distance separating traps​ (in meters) for a sample of six teams was measured. Data are shown in the accompanying table. Suppose you previously tested whether the average of the trap spacing measurements for the population of lobster fishermen in this area differs from 94 meters. 89 89 91 103 87 91 c. Compute the value of the test statistic for the nonparametric test. d. Find...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 80 Ha: μ < 80 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 78.5,    Find the value of the test statistic. ? Find the p-value. (Round your answer to four decimal places.) p-value...
ou may need to use the appropriate technology to answer this question. Consider the following hypothesis...
ou may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 50 Ha: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 49 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 40 Ha: μ < 40 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 39 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 50 Ha: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 49 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT