Please solve this by hand and also with r-studio code not the excel output please.  An experimenter is interested in the hypothesis testing problem with H0: µ = 420 versus Ha: µ < 420, where µ is the average radiation level in a research laboratory. Suppose that a sample of 49 radiation level measurements is obtained and that the experimenter wishes to use σ=10.0 for the standard deviation of the radiation levels. (a) What is the rejection region when α=0.01? (b) Suppose that the sample mean is 415.7. What would be the experimenter’s decision of the hypothesis test based on the rejection region? (c) What is the p-value for this hypothesis test?

The viscosity of a liquid detergent is supposed to average 800 centistokes at 25°C. A random sample of 16 batches of detergent is collected, and the average viscosity is 812. Suppose we know that the standard deviation of viscosity is σ = 25 centistokes.  (a) State the hypotheses that should be tested.  (b) Test these hypotheses using α = 0.05. What are your conclusions?

A sample obtained from a population with σ = 12 has a standard error of σx̅ = 2 points. How many scores are in the sample?

I want to know the answers and details step by step Thank you so much

A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was  χ2=7.82 with a corresponding p-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this p-value?       There is a 2 percent chance that the company’s claim is correct. A There is a 2 percent chance of obtaining a chi-square value of at least 7.82. B If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82. C If the null hypothesis were true, there is a 2 percent chance that the company’s claim is…

An experiment is conducted to compare the maximum load capacity in tons (the maximum weight that can be tolerated without breaking) for two alloys A and B It is Kknown that the two standard deviations in load capacity are equal at 7 tons each. The experiment is conducted on 50 specimens of each alloy (A and B) and the results are X = 75.8. X = 71.8, and X-X=4. The manufacturers of alloy A are convinced that this evidence shows conclusively that Hug and strongly supports the claim that their alloy is superior. Manufacturers of alloy 8 claim that the experiment could easily have given X-X 4 even if the two population means are equal. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Make an argument that manufacturers of alloy B are wrong. Do it by computing P(XA-XB41 PA-HB) P(XA-X > 4) - @

Just question 3 fill in the blank

You are performing a right-tailed matched-pairs test with 9 pairs of data.If α=.005α=.005, find the critical value, to two decimal places.

A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was χ2=7.82χ2=7.82 with a corresponding pp-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this pp-value?

You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha : p ‡ 0). You have a data set with 7 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of a = 0.05. Find the critical value for this test. rc.v. = ± Report answers accurate to three decimal places.